throbber
Insulating •.
`Form
`
`..... Core
`i) i~placernent
`4 X~
`. (Measurand)
`:=:::::::::::( .. __ F_er_r_o_m_a_g~n~e-ti_c,..C_o_r_e __ _.
`
`.. ·.·.· ...
`
`. ·.-.::
`
`_: ...
`
`:.· .
`
`.-.'
`
`,.·
`
`.. •:.
`
`1
`
`,:
`
`EXHIBIT
`
`·. _..·
`
`::
`
`Ql
`C ) (cid:173)
`(I)Ql
`
`.... >
`Ql 0-l >
`
`-
`
`I
`-
`I
`t--Lmear ~
`I
`I Range
`
`ClARENCE W. deSilYA
`
`BNA/Brose Exhibit 1065
`IPR2014-00417
`Page 1
`
`

`

`Control Sensors
`and Actuators
`
`CLARENCE W. DE SILVA
`
`~
`
`.
`~ !:
`
`.
`
`.1
`
`.
`
`~RENTICE HALL, Englewood Cliffs, New Jersey 07632
`
`JAMES WHIT£ LIBRARY
`ANDREWS UNIVERSI1Y
`BERRIEN SPRINGS, Ml 4910<'1
`
`BNA/Brose Exhibit 1065
`IPR2014-00417
`Page 2
`
`

`

`De Silva, Clarence W.
`Control Sensors and actuators.
`Include~ bibliographies and index.
`l. Automatic control. 2. Detectors. 3. Actuators.
`L Title.
`TJ213.D38 1989
`TSBN 0-13-171745-6
`
`!18-2!!998
`
`629.8
`
`To Charmaine, CI, and Cheryl-as their senses develop
`and as they becume increasingly active.
`
`I
`
`.I .,
`
`Editorial/production supervision and
`interior design: David Ershun
`Cover design: Ben Santora
`Manufacturing huycr: Mary Ann Gloriandc
`
`•
`
`© J9il9 hy Prentice-Hall, Inc.
`A Division of Simon & Schuster
`Englewood Cliffs, New Jersey 07632
`
`All rights reserved. No part of this book may be
`reproduced, in any fonn or by any means,
`without pcrmis~ion in writing from the publi.~her.
`
`The publisher offers discounts on this book when ordered
`in hulk quantities. For more information, write:
`
`Special Sales/College Marketing
`Prentice Hall
`College Technical and Reference Division
`Englewood Cliffs, NJ 07632
`
`Printed in the United States of America
`
`109 i l765432
`
`ISBN D-13-171745-6
`
`'
`i
`
`/
`
`.·) .·.~-
`. )'..;
`
`PRENTICI:!-HALL [NTERNATIONAL (UK) L!MJ'J£D, London
`PRENTIC!',HAt.L Of! AUSTRALIA l>rY. LIMITED, Sydney
`PRENTICE-HALl. CANADA INC., Toronto
`PRENTICE-HALL HISPANUAMERICANA, S.A., Mexico
`PRENT!Cf.-HALL OF INDIA PRIVATE LIMITED, New De/hi
`PRENTICE-HALL Of JAPAN, INC., Tokyo
`SIMON II< SCHUSTER ASIA PrE. LID., Sin11apore
`EDITORA PRF.NTIC:E-HAI.I. nn BRA~!!., LmA., Rio de Janeiro
`
`513414
`
`1(
`
`BNA/Brose Exhibit 1065
`IPR2014-00417
`Page 3
`
`

`

`Contents
`
`~-
`
`· ....
`
`PREFACE
`
`1 CONTROL, INSTRUMENTATION. AND DESIGN
`
`1.1
`
`1.2
`
`1.3
`
`1.4
`1.5
`
`1.6
`
`1.7
`
`Introduction
`
`l
`
`Control Sy~tem Architecture 2
`
`Digital Control 3
`
`Signal Classification in Control Systems
`
`5
`
`Advantages of Digital Control 8
`
`Feedforward Control 9
`
`Instrumentation and Design
`
`11
`
`Problems 12
`References 16
`
`2 PERFORMANCE SPECIFICATION AND
`COMPONENT MATCHING
`
`2.1
`
`2. 2
`
`Introduction 17
`
`Sensors and Transducers
`
`I 9
`
`vii
`
`1
`
`17
`
`iii
`
`BNA/Brose Exhibit 1065
`IPR2014-00417
`Page 4
`
`

`

`'·I
`
`2.3
`
`2.4
`
`2.5
`
`2.6
`
`2. 7
`
`Transfer Function Models for Transducers 20
`
`Parameters for Performance Specification 26
`
`Impedance Characteristics 36
`
`lnsuument Ratings 50
`
`Error Analy~is 55
`
`Problems 75
`
`References 83
`
`3 ANALOG SENSORS FOR MOTION MEASUREMENT
`
`84
`
`3.1
`
`3.2
`
`3.3
`
`3.4
`
`3.5
`
`3.6
`
`3.7
`
`3. 8
`
`3.9
`
`Introduction 84
`
`Motion Transducers 85
`
`Potentiometers 87
`
`Variable-Inductance Transducers 95
`
`Permanent-Magnet Transducers 108
`
`Eddy Current Transducers 112
`
`Variable-Capacitance Transducers 113
`
`Piezoelectric Transducers
`
`118
`
`Other Types of Sensors 126
`
`3.10 A Design Criterion for Control Systems 132
`
`Problems 134
`
`References 142
`
`4 TORQUE, FORCE, AND TACTILE SENSORS
`
`144
`
`Introduction 144
`
`Force Control 145
`
`Strain Gages 153
`
`Semiconductor Strain Gages 167
`
`Torque Sensors 174
`
`Force Sensors 196
`
`Tactile Sensing 199
`
`4.1
`
`4.2
`
`4.3
`
`4.4
`
`4.5
`
`4.6
`
`4.7
`
`iv
`
`Contents
`
`BNA/Brose Exhibit 1065
`IPR2014-00417
`Page 5
`
`

`

`84
`
`144
`
`Problems 206
`
`References 216
`
`5 DIGITAL TRANSDUCERS
`
`218
`
`5.1
`
`5.2
`
`5. 3
`
`5.4
`
`5.5
`
`5.6
`
`.5. 7
`
`5.S
`
`5.9
`
`Introduction 218
`
`Shaft Encoders 219
`
`Incremental Optical Encoders 225
`
`Absolute Optical Encoders 235
`
`Encoder Error 238
`
`Digital Resolvers 243
`
`Digital Tachometer8 244
`
`Hall Effect Sensors 245
`
`Measurement of Translatory Motions 247
`
`5.10
`
`Limit Switches 249
`
`Problems 249
`
`References 252
`
`6 STEPPER MOTORS
`
`253
`
`6.1
`
`6.2
`
`6.3
`
`6.4
`
`6.5
`
`6.6
`
`6. 7
`
`6.8
`
`6.9
`
`Introduction 253
`
`Principle of Operation 254
`
`Stepper Motor Classification 262
`
`Single-Stack Stepper Motors 263
`
`Multiple-Stack Stepper Motors 273
`
`Open-Loop Control of Stepping Motors 275
`
`Stepper Motor Response 277
`
`Static Position Error 284
`
`Damping of Stepper Motors 286
`
`6. l 0
`
`Feedback Control of Stepper Motors 293
`
`6.11
`
`Stepper Motor Models 299
`
`6.12
`
`Stepper Motor Selection and Applications 304
`
`Contents
`
`Contents
`
`v
`
`BNA/Brose Exhibit 1065
`IPR2014-00417
`Page 6
`
`

`

`Problems 311
`References 322
`
`7 CONTINUOUS-DRIVE ACTUATORS
`
`323
`
`Introduction 323
`7.1
`DC Motors 324
`7.2
`Bmshless DC Motors 327
`7.3
`DC Motor Equations 330
`7.4
`Control of DC Motors 342
`7.5
`Torque Motors 359
`7.6
`Motor Selection Considerations 363
`7.7
`Induction Motors 365
`7.8
`Induction Motor Control 375
`7.9
`Synchronous Motors 387
`7.10
`7.ll Hydraulic Actuators 390
`7.12 Hydraulic Control Systems 401
`Problems 416
`References 428
`
`ANSWERS TO NUMERICAL PROBLEMS
`
`INDEX
`
`429
`
`431
`
`~
`
`. ~
`
`$
`
`;i.~
`
`-;'i
`--~·
`:_, . . ,
`··{
`.=~· ;;;
`-::~ ·-,.'"..1
`'~~
`~·~
`-~~·
`~:
`·.;,s·
`~;
`'.•
`:)i;
`3
`H
`"f..-'
`~t· .
`. ;,,>
`r""..:'!
`~-~:
`~·~-;
`
`'!-~;
`·:;~:
`· ... j:
`~~
`~
`·;~··.
`·.,:
`;~:
`
`·.:,i i -~_[}j
`
`-11.!
`
`vi
`
`Contents
`
`-~
`
`~ .;;.·.
`'."?i'
`. ~-·
`
`·~
`
`:
`
`;:
`
`BNA/Brose Exhibit 1065
`IPR2014-00417
`Page 7
`
`

`

`7
`Control,
`Instrumentation, and
`Design
`
`1.1 INTRODUCTION
`
`The demand for servnmechanisms in military applications during World War II pro(cid:173)
`vided much incentive and many resources for the growth of control technology.
`Early efforts were devoted to the development of analog controllers, which are elec(cid:173)
`tronic devices or circuits that generate proper drive signals for a plant (process). Par(cid:173)
`allel advances were necessary in actuating devices such a~ motors, solenoids, and
`valves that drive the plant. For feedback control, further developments in sensors
`and transducers became essential. With added ~nphistication in control systems, it
`was soon apparent that analog control techniques had serious limitations. In particu(cid:173)
`lar, linear assumptions were used to develop controllers even for highly nonlinear
`plants. Furthermore, complex and costly circuitry was often needed to generate even
`simple control signals. Consequently, mnst analog controllers were limited to on/off
`and proportional-integral-derivative (PID) actions, and lead and lag compensation
`networks were employed to compenstate for weaknesses in such simple contrnl ac(cid:173)
`tions.
`The digital computer, first developed for large number-crunching jobs, was
`employed as a contrnller in complex control systems in the 1950s and 1960s. Origi(cid:173)
`nally, cost constraints restricted its use primarily to aerospace applications that re(cid:173)
`quired the manipulation of large amounts of data (complex models, several hundred
`signals, and thousands of system parameters) for control and that did not 1ace serious
`cost restraints. Real-time contrnl requires fast computatinn, and this speed of com(cid:173)
`putation is determined by the required control bandwidth (or the speed of control)
`and parameters (e.g., time constants, natural frequencies, and damping constants) of
`the process that is being controlled. For instance, prelaunch monitoring and control
`of a space vehicle would require digital data acquisition at very high sampling rates
`(e.g., 50,000 samples/second). As a result of a favorable decline of computation cost
`(both hardware and software) in subsequent years, widespread application of digital
`computers as control devices (i.e., digital control) has become feasible. Dramatic
`developments in large-scale integration (LSI) technology and microprocessors in the
`
`1
`
`BNA/Brose Exhibit 1065
`IPR2014-00417
`Page 8
`
`

`

`1970s resulted in very significant drops in digital processing costs, which made digi(cid:173)
`tal control a very attractive alternative to analog cnntrol. Today, digital control has
`become an integral part of numerous systems and applications, including machine
`tools, robotic manipulators, automobiles, aircraft autopilots, nuclear power plants,
`traffic control systems, and chemical process plants.
`Control engineers should be able to identify or sclect components for a control
`system, mndel and analyze individual components or overall systems, and choose
`parameter values so as to perform the intended functions of the particular system in
`accordance with some specifkations. Component identilkation, analysis, selection,
`matching and intertacing, and system tuning (adjusting parameters to obtain the re(cid:173)
`quired response) are essential tasks in the instrumentatinn and design of a control
`system.
`
`1.2 CONTROL SYSTEM ARCHITECTURE
`
`Let us examine the generalized cnntrol system represented by the block diagram in
`figure 1. I. We have identified several discrete blocks, depending on various func(cid:173)
`tions that take place in a typical contrnl system. Before proceeding, we must keep in
`mind that in a practical control system, this type of clear demarcation of components
`might be difficult; one piece of hardware might perform several functions, or more
`than one distinct unit of equipment might be associated with one function. Neverthe(cid:173)
`less, figure 1.1 is useful in understanding the architecture of a general control sys(cid:173)
`tem. This is an analog control system because the associated signals depend on the
`continuous time variable; no signal sampling or data encoding is involved in the sys-
`tem.
`
`Plant is the system or "process" that we are interested in controlling. By con(cid:173)
`trol, we mean making the system respond in a desired manner. To be able tn accom(cid:173)
`plish this, we must have access to the drive system or actuator of the plant. We apply
`certain command signals, or input, to the controller and expect the plant to behave
`in a desirable manner: This is the open-loop control situation. In this case, we do not
`use current information on ~·ystem response to determine the control signals. Infeed(cid:173)
`back control systems, the control loop has to be closed; clo~·ed-loop control means
`making measurements of system response and employing that information to gener(cid:173)
`ate control signals so as to correct any output errors. The output measurements are
`made primarily using analog devices, typically consisting of sensor-transducer units.
`
`Reference
`Input Signal
`
`1---.--...... 0utputs
`
`Figure l.I. Components of a typical analog control system.
`
`-·:
`
`-~~: ¥ I 9:
`1
`
`~
`~
`i\1
`
`1.3 DIGI.J
`J
`I$
`tJ
`tH
`f3 f:'
`a~
`re
`it
`&~
`d~
`ti
`s6
`'~ N
`
`2
`
`Control, Instrumentation, and Design
`
`Chap. 1
`
`s~
`
`BNA/Brose Exhibit 1065
`IPR2014-00417
`Page 9
`
`

`

`ligi(cid:173)
`haS
`hine
`wts,
`
`ntro1
`oose
`min
`tion,
`e rc(cid:173)
`ntrol
`
`1m in
`tunc(cid:173)
`~ep in
`ments
`more
`erthe(cid:173)
`>l sys(cid:173)
`)ll the
`:e sys-
`
`y con(cid:173)
`ccom-
`apply
`Jehave
`do not
`lfeed(cid:173)
`means
`gener(cid:173)
`Jts are
`·units.
`
`-Outputs
`
`An important factor.that we must consider in any practical control system is noise,
`including external disturbances. Noise may represent actual contamination of signals
`or the presence of other unknowns, uncertainties, and errors, such as parameter
`variations and modeling errors. Furthermore, weak signals will have to be am(cid:173)
`plified, and the form of a signal might have to be modified at various points of inter(cid:173)
`action. In these respects, signal-conditioning methods such as filtering, amplification,
`and modulation become important.
`ldentilication of the hardware components (perhaps commercially available
`off-the-shelf items) corresponding to each functional block in figure 1.1 i11 one of the
`first steps of instrumentation. For example, in process control applications off-the(cid:173)
`shelf analog proportional-integral-derivative (PID) controllers may be used. These
`controllers for process control applications have knobs or dials for control parameter
`settings-that is, proportional band or gain, reset rate (in repeats of the proportional
`action per unit time), and rate time constant. The control bandwidth (frequency
`range of operation) of these devices is specified. Various control modes-such as
`on/off, proportional, integral, and derivative, or combinatinns-are provided by the
`same control box.
`Actuating devices (actuators) include DC motors, AC motors, stepper motors,
`solenoids, valves, and relays, which are also commercially available to various
`spedfications. Potentiometers, differential transformers, resolvers, synchros, strain
`gauges, tachometers, piezoelectric devices, thermocouples, thermistors, and resis(cid:173)
`tance temperature detectors (RfDs) are examples of sensors used to measure process
`response for monitoring performance and possible feedback. Charge amplifiers,
`lock-in amplifiers, power amplifiers, switching amplifiers, linear amplifiers, tracking
`filters, low-pass filters, high-pass filters, and notch filters are some of the signal(cid:173)
`conditioning devices used in analog control systems. Additional components, such
`as power supplies and surge-protection units, are often needed in control, but they
`are not indicated in figure l.l because they are only indirectly related to control
`functions. Relays and other switching devices and modulators and demodulators may
`also be included.
`
`1.3 DIGITA'- CONTROL
`
`Direct digital control (DDC) systems are quite similar to analog control systems.
`The main difference in a DDC system is that a digital computer takes the place of
`the analog controller in figure l.l. Control computers have to be dedicated machines
`for real-time operation where processing has to be synchronized with plant operation
`and actuation requirements. This also requires a real-time clock. Apart from these
`requirements, control computers are basically no different from general-purpose dig(cid:173)
`ital computers. They consist of a processor to perform computations and to oversee
`data transfer, memory for program and data storage during processing, mass storage
`devices to store information that is not immediately needed, and input/output devices
`to read in and send out information. Digital control systems might utilize digital in(cid:173)
`struments and additional processors for actuating, signal-conditioning, or measuring
`functions, as well. For example, a stepper motor that responds with incremental mo-
`
`Chap. 1
`
`Sec. 1.3
`
`Digital Control
`
`3
`
`BNA/Brose Exhibit 1065
`IPR2014-00417
`Page 10
`
`

`

`tion steps when driven by pulse signals can be considered a digital actuator. Further(cid:173)
`more, it usually contains digital logic circuitry in its drive system. Similarly, a two(cid:173)
`position solenoid is a digital (binary) actuator. Digital flow control may be
`accomplished using a digital control valve. A typical digital valve comists of a
`bank of orillces, each sized in proportion to a place value of a binary word
`(2', i = 0, I, 2, ... , n). Each orifice is actuated by a separate rapid-acting on/off so(cid:173)
`lenoid. In this manner, many digital combinations of flow values can be obtained.
`Direct digital measurement of displacements and velocities can be made using shaft
`encoders. These are digital transducers that generate coded outputs (e.g., in binary
`or gray-scale representation) or pulse signals that can be coded using counting cir(cid:173)
`cuitry. Such outputs can be read in by the control computer with relative ease. Fre(cid:173)
`quency counters al~o generate digital signals that can be fed directly into a digital
`controller. When measured signals are in the analog form, an analog front end is
`necessary to interlace the transducer and the digital controller. Jnput/ontput interface
`boards that can take both analog and digital signals are available with digital con(cid:173)
`trollers.
`A block diagram of a direct digital control system is shown in figure 1.2. Note
`that the functions of this control system are quite similar to those shown in figure
`1.1 for an analog control system. The primary difference is the digital controller
`(processor), which is used to generate the control signals. Therefore, analog mea(cid:173)
`surements and reference signals have to be sampled and encoded prior to digitaL pro(cid:173)
`cessing within the controller. Digital processing can be conveniently used for signal
`conditioning as well. Alternatively, digital signal processing (DSP) chips can func(cid:173)
`tion as digital controllers. However, analog signals are preconditioned, using analog
`circuitry prior to digitizing in order to eliminate or minimize problems due to alias(cid:173)
`ing distortion (high-frequency components above half the sampling frequency ap(cid:173)
`pearing as low-frequency components) and leakage (error due to signal truncation)
`as well as to improve the signal level and filter out extraneous noise. The drive sys-
`
`Reference input
`
`!--,,-___..._Outputs
`
`Figure 1.2. Block diagram of a direct digital control system.
`
`4
`
`Control, Instrumentation, and Design
`
`Chap. 1
`
`BNA/Brose Exhibit 1065
`IPR2014-00417
`Page 11
`
`

`

`tern of a plant typically takes in analog signals. Often, the digital output from con(cid:173)
`troller has to be converted into analog form for this reason. Both analog-to-digital
`conversion (ADC) and di8ital-to-analog conversion (DAC) ~:an be interpreted as
`signal-conditioning (modification) procedures. If more than one output signal is
`measured, cad1 signal will have to be conditioned and processed separately. Ideally,
`this will require separate conditioning and processing hardware for each signal chan(cid:173)
`nel. A less expensive (but slower) alternative would be to time-share this expensive
`equipment by using a multiplexer. This device will pick one channel of data from a
`bank of data channels in a sequential manner and connect it to a common input
`device. Both analog and digital multiplexers are available. In a digital multiplexer,
`the input signals come from a bank of digital sensors, and the output signal itself,
`which would be in digital form, goes directly into the digital controller. High-speed
`multiplexers (e.g., over 50,000 switchings/second) use electronic switching.
`For complex processes with a large number of input/output variables (e.g., a
`nuclear power plant) and with systems that have various operating requirements
`(e.g., the space shuttle), centralized direct digital control is quite difficult to imple(cid:173)
`ment. Some form of distributed control is appropriate in large systems >uch as man(cid:173)
`ufacturing cells, fdctorie.~. and multicomponent process plants. A tavorite distributed
`control architecture is provided by heirarchical control. Here, distribution of control
`is available both geographically and functionally. An example for a three-level hier(cid:173)
`archy is shown in figure 1.3. Management decisions, supervisory control, and coor(cid:173)
`dination between plants are provided by the management (supervisory) computer,
`which is at the highest level (level3) of the hierarchy. The next lower level computer
`generates control settings (or reference inputs) tor each control region in the corre(cid:173)
`sponding plant. Set points and reference signals are inputs to the direct digital con(cid:173)
`trol (DDC) computers that control each control region. The computers communicate
`using a suitable information network. Information transfer in both directions (up and
`down) should he possible for best performance and flexibility. In master-slave dis(cid:173)
`tributed control, only downloading of information is available.
`
`1.4 SIGNAL CLASSIFICATION IN CONTROL SYSTEMS
`
`A digital control system can be loosely interpreted as one that uses a digital com(cid:173)
`jXlter as the controller. It is more appropriate, however, to understand the nature of
`the signals that are present in a control system when identifying it as a digital con(cid:173)
`trol system.
`Ana/of? signals are continuous in time. They are typically generated as outputs
`of a dynamic system. (Note that the dynamic system could be a signal generator or
`any other device, equipment, or physical system.) Analytically, analog signals are
`represented as functions of the continuous time variable t.
`Sampled data are, in fuct, pulse amplitude-modulated signals. In this case, in(cid:173)
`tormation is carried by the amplitude of each pulse, with the width of the pulses
`kept constant. For comtant sampling rate, the distance between adjacent pulses
`is also kept constant. In a physical situation, a pulse amplitude-modulated signal is
`generated through a sample-and-hold operation, in which the signal is sampled at
`
`Sec. 1.4
`
`Signal Classification in Control Systems
`
`5
`
`BNA/Brose Exhibit 1065
`IPR2014-00417
`Page 12
`
`

`

`------ ------· ----···--·----··------
`
`Geographic Distribution
`
`---+-
`
`Level 3
`
`Supervisory
`(Management)
`Computer
`
`Process Plant 1
`
`Level 2
`
`Control-Setting
`Computer
`
`Local Control System 1
`
`Set Points
`(Reference Inputs)
`
`Functional i
`Distribution '
`
`Levell
`
`f---.---;.- 0 utputs
`
`Feedback
`Signals
`
`Figure 1.3. A three-level hierarchical control scheme.
`
`the beginning of the sampling period and kept constant at that value, irrespective of
`the true value of the signal over that period. An important advantage of sampling is
`that expensive equipment can be shared among many signals. Furthermore, sam(cid:173)
`pling is necessary in real-time digital processing to allow for the processing time.
`Analytically, sampled data consist of a sequence of numbers (or a function of integer
`variable).
`Digital data are coded numerical data. For example, a binary code or ASCII
`(American Standard Code for Information Interchange) may be used to represent
`each value in a sequence of digital data. The code itself determines the actual value
`of a particular unit of digital information. Typically, digital data are generated by
`digital processors, digital transducers, counters, encoders, and other such digital
`devices.
`Table 1.1 summarizes the identifying characteristics of these three types of
`data. Analog systems generate analog signals only. Sampled-data systems depend on
`analog data as well as sampled data. Digital systems, however, utilize all three types
`of signals, generally at different levels of interaction. Sampled-data ~-ystems and dig(cid:173)
`ital systems may be modeled using discrete-time mode!J> (see table 1.2).
`
`6
`
`Control, Instrumentation, and Design
`
`Chap. 1
`
`BNA/Brose Exhibit 1065
`IPR2014-00417
`Page 13
`
`

`

`TABLE 1.1 SIGNAL CATEGORIES FOR IDENTIFYING CONTROL SYSTEM TYPES
`
`Signal (data)
`category
`
`Analog .~ignals (data)
`
`Sampled duta
`
`Digital data
`
`Description
`
`Continuou~ in timet; typically represents an output of a dynamic
`system
`Pulse amplitude, modulated signals
`Information carried by pulse amplitude
`Typically generated by ~ample-and-hold pro'e~s
`Coded numerical data; the particular mde determines the numerical
`value
`Typically generated by digital processors, digital transducers, and
`counters
`
`TABLE 1.2 REPRESENTATIVE ANALYTICAL CHARACTERISTICS OF
`CONTINUOUS-TIME AND DISCRETE-TIME SYSTEMS
`
`Analytical model
`
`System
`
`Time domain
`
`Transfer-function domain
`
`C11ntinuous-time
`')'Stems
`
`Discrete-time
`systems
`
`Differenti~l
`equations
`
`Difference
`equation~
`
`Laplace transfer functions
`or Fourier frequency response
`functions
`Z-transform tran.~fcr function~
`
`Example 1.1
`The sampling period ilT for data acquisition is an important parameter in real-time dig(cid:173)
`ital control. Discuss the significance of the sampling period.
`
`Solution On the one hand, tJ.T has to. be sufficiently large so that required processing
`and data tr<~nsfer can be done during that time for each control step. This is crucial in
`real-time control. On the other hand, ilT should be small enough to meet control band(cid:173)
`width and process dynamics requirements. Shannun's sampling theorem states that in a
`sampled signal, the maximum meaningful frequency is the Nyquist frequency_/;, which
`is given by half the sampling rate:
`
`I
`-
`f, = 2ilT
`
`( 1.1)
`
`It follow~ that we should select ilT such that the significant frequency content of the
`input/output signals of the particular process stay8 within the Nyquist frequency. Note
`that to be able to control the process effectively, all natural frequencies of interest in
`the plant should be smaller thanj. .. Oncefc is chosen in this manner for digital control,
`it is also important to choose analog cumponents, such as signal-conditioning device.~
`in the control system, to have an operating bandwidth larger than_{c. For example, if the
`
`Sec. 1.4
`
`Signal Classification in Control Systems
`
`7
`
`BNA/Brose Exhibit 1065
`IPR2014-00417
`Page 14
`
`

`

`op~.:rating bandwidth of a robotic manipulator is specified to be 50 Hz, one mu~t make
`sure that the associatcu analog sensurs and tnJ.nsducers (resolvers, tachometers, etc.)
`and signakonuitioning devices (e.g., low-pass filters, charge amplifier~) have an oper(cid:173)
`ating bandwidth greater than 50 Hz-prcfcrably about 200 Hz. Furthermore, the sam(cid:173)
`pling period has to be smaller than 10m~ (from equation 1.1), preferably about 2 ms. It
`is then necessary to tnake sure that the L:ontrol computer is capable of doing all the
`processing needed in each control increment within this time. Otherwise, distribution
`of control tasks might be needed. Parallel processing is another option. Another alter(cid:173)
`native is to employ a hardware implementation of the controller. Simplification of con(cid:173)
`trol algorithms should also be attempted, but without sacrificing the accuracy require(cid:173)
`ments. In general, distributcd control is better than using a single control computer of
`larger c·apacity and faster speed.
`
`1.5 ADVANTAGES OF DIGITAL CONTROL
`
`The current trend toward using dedicated, microprocessor-based, and often decen(cid:173)
`tralized (distributed) digital control systems in industrial application.s can be rational(cid:173)
`ized in terms of the major advantages of digital control. The following are some of
`the important considerations.
`
`1. Digital control is less susceptible to noise or parameter variation in instrumen(cid:173)
`tation because data can be represented, generated, transmitted, and processed
`as binary words, with bits possessing two identifiable state.s.
`2. Very high accuracy and speed are possible through digital processing. Hard(cid:173)
`ware implementation is usually faster than software implementation.
`3. Digital control can handle repetitive tasks extremely well, through program(cid:173)
`ming.
`4. Complex control laws and signal conditioning methods that might be impracti(cid:173)
`cal to implement using 'dnalog devices can be programmed.
`5. High reliability in operation can be achieved by minimizing analog hardware
`components and through decentralization using dedicated microprocessors for
`various control tasks (see figure 1.3).
`6. Large amounts of data can be stored using compact, high-density data storage
`methods.
`7. Data can be stored or maintained for very long periods of time without drift
`and without being affected by adverse environmental conditions.
`8. Fast data transmission is possible over long distances without introducing dy(cid:173)
`namic delays, as in analog systems.
`9. Digital control has easy and iast data retrieval capabilities.
`10. Digital processing uses low operational voltages (e.g., 0-12 V DC).
`11. Digital control has low overall cost.
`
`Some of these features should be obvious; the rest should become clear as we pro(cid:173)
`ceed through the book.
`
`8
`
`Control, Instrumentation, and Design
`
`Chap. 1
`
`BNA/Brose Exhibit 1065
`IPR2014-00417
`Page 15
`
`

`

`ust rnakc
`o:rs, etc,)
`an oper(cid:173)
`thc sam(cid:173)
`t 2 tlJS. ft
`12 ail the
`,!ribution
`her alter·
`n of con(cid:173)
`' require-
`1wuter of
`
`[1 decen(cid:173)
`rational(cid:173)
`.some of
`
`itrumen(cid:173)
`~ocessed
`g, Hard-
`
`?rogram(cid:173)
`
`i(iJpracti-
`;-·.
`
`K~tdware
`i~sors for
`h-~· ..
`r;:.: ... :
`~:§torage
`:·,:.,;'
`~x-~·.:~;·
`~out drift
`
`tW·, dy-
`Fy·:_
`
`1.6 FEEDFORWARI;> CONTROL
`
`Many control systems have inputs that do not participate in feedback controL In
`other words, these inputs are not compared with feedback (mcaslirement) signals to
`generate control s·tgnak Some of the~e inputs might be important variables in the
`plant (process) itselL Others might be undesirable inputs, .~uch as external distur(cid:173)
`bances that are unwanted yet unavoidable. Performance of a control system can gen(cid:173)
`erally be improved by measuring these (unknown) inputs and .~omehow using the in(cid:173)
`formation to generate control signals. Since the associated measurement and control
`(and compensation) take place in the forward path nf the control system, this
`method of control is known as feedforward control. Note that in feedback control,
`unknown "outputs" arc measured and compared with known (desired) inputs to gen(cid:173)
`erate control signals. In feedforward control, unknown "inputs" are measured and
`that informatinn, alnng with desired inputs, is used to generate control signals that
`can reduce error.~ due tn these unknown inputll or variations in them.
`A block diagram of a typical control loop that uses feedforward control is
`shown in figure 1.4. In this system, in addition to feedback cnntrnl, feedfnrward
`control is used to reduce the etl'ects of a disturbance input that enters the plant. The
`disturbance input is measured and fed into the controller. The controller uses this in(cid:173)
`formation tn modify the control action so as to compensate for the effect of the dis(cid:173)
`turbance input.
`
`Oistu rbance
`Input
`
`r - -
`
`Measurement
`for
`Feedforward
`
`f--
`
`!
`!
`!
`
`Reference
`Input
`
`I
`I Controller
`
`Plant
`
`I
`
`I
`I
`
`Output
`
`Measurement
`for
`Feedback
`
`Figure 1.4. A typical feedback loop that uses fccdforward control.
`
`As a practical example, consider the natural gas home heating system shown in
`tigure 1.5a. A simplified block diagram of the system is shown in figure 1.5b. In
`conventional feedback control, the room temperature is measured and its deviation
`from the desired temperature (set point) is used to adjust the natural gas How into the
`furnace. On/off control i.~ used in ~ost such applications. Even if propnrtinnal or
`three-mode (propnrtinnal- integral-derivative) control is employed, it is not easy to
`steadily mainta'm the room temperature at the desired value if there are large
`
`Sec. 1.6
`
`Feedforward Control
`
`9
`
`BNA/Brose Exhibit 1065
`IPR2014-00417
`Page 16
`
`

`

`Vent
`
`Exhaust
`Gases
`
`t
`
`Cold Water
`In
`
`Thermal
`Insulation
`
`:~
`
`!:
`
`Actuating
`Signal
`
`Temperature Controller
`(on/off) and Tmnsm;tter
`
`(a)
`
`Unknown
`Inputs
`
`w1 ~Water F1ow Rate
`w 2 ~Temperature of Cold Water into Furnace
`w 3 =Temperature Outside the Room
`
`Temperature
`Set Point __.._
`(lnptot)
`
`Controller
`
`Furnace
`
`1----,--...-. Room Temperature
`(Output)
`
`' - - - - - - - ! Sensor- Transducer 1-*-----'
`
`(h)
`
`Figure 1.5.
`the system.
`
`(a) A natural gas home heating system. (b) A block diagram representation of
`
`changes in other (unknown) inputs to the system, such as water flow rate through the
`furnace, temperature of water entering the furnace, and outdoor temperature. Better
`results can be obtained by measuring these disturbance inputs and using that infor(cid:173)
`mation in generating the control action. This is feedforward control. Note that in the
`absence of feedforward control, any changes in the inputs w1 , w2 , and w3 in figure
`1.5 will be detected only through their effect on the feedback signal (room tempera(cid:173)
`ture). Hence, the subsequent corrective action can lag behind the cause (changes in
`w,.) considerably. This delay will lead to large errors and possible instability prob(cid:173)
`lems. With feedforward control, information on the disturbance inputs w, will be
`
`10
`
`Control, Instrumentation, and Design
`
`Chap. 1
`
`BNA/Brose Exhibit 1065
`IPR2014-00417
`Page 17
`
`

`

`.om
`iator
`
`·--~
`
`.pie
`
`Temperature
`• Set Point
`
`nperature
`fput)
`
`available to the controller immediately, thereby speeding up the control action and
`also improving the response accuntcy. Faster action and improved accuracy are two
`very desirable effects of feedforward control.
`In some applications, control inputs are computed using accurate dynamic
`models tor the plants, an

This document is available on Docket Alarm but you must sign up to view it.


Or .

Accessing this document will incur an additional charge of $.

After purchase, you can access this document again without charge.

Accept $ Charge
throbber

Still Working On It

This document is taking longer than usual to download. This can happen if we need to contact the court directly to obtain the document and their servers are running slowly.

Give it another minute or two to complete, and then try the refresh button.

throbber

A few More Minutes ... Still Working

It can take up to 5 minutes for us to download a document if the court servers are running slowly.

Thank you for your continued patience.

This document could not be displayed.

We could not find this document within its docket. Please go back to the docket page and check the link. If that does not work, go back to the docket and refresh it to pull the newest information.

Your account does not support viewing this document.

You need a Paid Account to view this document. Click here to change your account type.

Your account does not support viewing this document.

Set your membership status to view this document.

With a Docket Alarm membership, you'll get a whole lot more, including:

  • Up-to-date information for this case.
  • Email alerts whenever there is an update.
  • Full text search for other cases.
  • Get email alerts whenever a new case matches your search.

Become a Member

One Moment Please

The filing “” is large (MB) and is being downloaded.

Please refresh this page in a few minutes to see if the filing has been downloaded. The filing will also be emailed to you when the download completes.

Your document is on its way!

If you do not receive the document in five minutes, contact support at support@docketalarm.com.

Sealed Document

We are unable to display this document, it may be under a court ordered seal.

If you have proper credentials to access the file, you may proceed directly to the court's system using your government issued username and password.


Access Government Site

We are redirecting you
to a mobile optimized page.





Document Unreadable or Corrupt

Refresh this Document
Go to the Docket

We are unable to display this document.

Refresh this Document
Go to the Docket