Feedback Control of Dynamic Systems (2-downloads)

For senior-level or first-year graduate-level courses in control analysis and design, and related courses within engineering, science, and management.   Feedback Control of Dynamic Systems, Sixth Edition is perfect for practicing control engineers who wish to maintain their skills. This revision of a top-selling textbook on feedback control with the associated web site, FPE6e.com, provides greater instructor flexibility and student readability. Chapter 4 on A First Analysis of Feedback has been substantially rewritten to present the material in a more logical and effective manner. A new case study on biological control introduces an important new area to the students, and each chapter now includes a historical perspective to illustrate the origins of the field. As in earlier editions, the book has been updated so that solutions are based on the latest versions of MATLAB and SIMULINK. Finally, some of the more exotic topics have been moved to the web site.

Table of Contents:
1 An Overview and Brief History of Feedback Control 1 A Perspective on Feedback Control 1 Chapter Overview 2 1.1 A Simple Feedback System 3 1.2 A First Analysis of Feedback 6 1.3 A Brief History 9 1.4 An Overview of the Book 14 Summary 16 Review Questions 16 Problems 17 2 Dynamic Models 20 A Perspective on Dynamic Models 20 Chapter Overview 21 2.1 Dynamics of Mechanical Systems 21 2.1.1 Translational Motion 21 2.1.2 Rotational Motion 27 2.1.3 Combined Rotation and Translation 36 2.1.4 Distributed Parameter Systems 38 2.1.5 Summary: Developing Equations of Motion for Rigid Bodies 40 2.2 Models of Electric Circuits 41 2.3 Models of Electromechanical Systems 45 2.4 Heat and Fluid-Flow Models 50 2.4.1 Heat Flow 50 2.4.2 Incompressible Fluid Flow 54 2.5 Historical Perspective 60 Summary 62 Review Questions 63 Problems 64 3 Dynamic Response 74 A Perspective on System Response 74 Chapter Overview 75 3.1 Review of Laplace Transforms 75 3.1.1 Response by Convolution 75 3.1.2 Transfer Functions and Frequency Response 80 3.1.3 The L- Laplace Transform 87 3.1.4 Properties of Laplace Transforms 89 3.1.5 Inverse Laplace Transform by Partial-Fraction Expansion 91 3.1.6 The Final Value Theorem 93 3.1.7 Using Laplace Transforms to Solve Problems 94 3.1.8 Poles and Zeros 96 3.1.9 Linear System Analysis Using MATLAB 97 3.2 System Modeling Diagrams 102 3.2.1 The Block Diagram 102 3.2.2 Block Diagram Reduction Using MATLAB 107 3.3 Effect of Pole Locations 108 3.4 Time-Domain Specifications 116 3.4.1 Rise Time 116 3.4.2 Overshoot and Peak Time 117 3.4.3 Settling Time 118 3.5 Effects of Zeros and Additional Poles 120 3.6 Stability 130 3.6.1 Bounded Input—Bounded Output Stability 130 3.6.2 Stability of LTI Systems 131 3.6.3 Routh’s Stability Criterion 132 3.7 Obtaining Models from Experimental Data 140 3.7.1 Models from Transient-Response Data 142 3.7.2 Models from Other Data 146 3.8 Amplitude and Time Scaling 147 3.8.1 Amplitude Scaling 147 3.8.2 Time Scaling 148 3.9 Historical Perspective 149 Summary 150 Review Questions 151 Problems 152 4 A First Analysis of Feedback 170 A Perspective on the Analysis of Feedback 170 Chapter Overview 171 4.1 The Basic Equations of Control 171 4.1.1 Stability 173 4.1.2 Tracking 174 4.1.3 Regulation 174 4.1.4 Sensitivity 175 4.2 Control of Steady-State Error to Polynomial Inputs: SystemType 178 4.2.1 System Type for Tracking 179 4.2.2 System Type for Regulation and Disturbance Rejection 183 4.3 The Three-Term Controller: PID Control 186 4.3.1 Proportional Control (P) 187 4.3.2 Proportional Plus Integral Control (PI) 187 4.3.3 PID Control 188 4.3.4 Ziegler—Nichols Tuning of the PID Controller 192 4.4 Introduction to Digital Control 198 4.5 History of Control Theory and Practice 203 Summary 205 Review Questions 206 Problems 207 5 The Root-Locus Design Method 220 A Perspective on the Root-Locus Design Method 220 Chapter Overview 221 5.1 Root Locus of a Basic Feedback System 221 5.2 Guidelines for Determining a Root Locus 226 5.2.1 Rules for Plotting a Positive (180æ) Root Locus 228 5.2.2 Summary of the Rules for Determining a Root Locus 233 5.2.3 Selecting the Parameter Value 234 5.3 Selected Illustrative Root Loci 236 5.4 Design Using Dynamic Compensation 248 5.4.1 Design Using Lead Compensation 249 5.4.2 Design Using Lag Compensation 254 5.4.3 Design Using Notch Compensation 255 5.4.4 Analog and Digital Implementations 257 5.5 A Design Example Using the Root Locus 260 5.6 Extensions of the Root-Locus Method 266 5.6.1 Rules for Plotting a Negative (0æ) Root Locus 266 5.6.2 Consideration of Two Parameters 270 5.6.3 Time Delay 272 5.7 Historical Perspective 274 Summary 276 Review Questions 278 Problems 278 6 The Frequency-Response Design Method 296 A Perspective on the Frequency-Response 296 Design Method 296 Chapter Overview 297 6.1 Frequency Response 297 6.1.1 Bode Plot Techniques 304 6.1.2 Steady-State Errors 315 6.2 Neutral Stability 317 6.3 The Nyquist Stability Criterion 319 6.3.1 The Argument Principle 320 6.3.2 Application to Control Design 321 6.4 Stability Margins 334 6.5 Bode’s Gain—Phase Relationship 341 6.6 Closed-Loop Frequency Response 346 6.7 Compensation 347 6.7.1 PD Compensation 348 6.7.2 Lead Compensation 348 6.7.3 PI Compensation 360 6.7.4 Lag Compensation 360 6.7.5 PID Compensation 365 6.7.6 Design Considerations 371 6.7.7 Specifications in Terms of the Sensitivity Function 373 6.7.8 Limitations on Design in Terms of the Sensitivity Function 377 6.8 Time Delay 381 6.9 Alternative Presentation of Data 382 6.9.1 Nichols Chart 382 6.10 Historical Perspective 386 Summary 386 Review Questions 388 Problems 389 7 State-Space Design 413 A Perspective on State-Space Design 413 Chapter Overview 413 7.1 Advantages of State-Space 414 7.2 System Description in State-Space 416 7.3 Block Diagrams and State-Space 421 7.3.1 Time and Amplitude Scaling in State-Space 424 7.4 Analysis of the State Equations 425 7.4.1 Block Diagrams and Canonical Forms 425 7.4.2 Dynamic Response from the State Equations 436 7.5 Control-Law Design for Full-State Feedback 442 7.5.1 Finding the Control Law 443 7.5.2 Introducing the Reference Input with Full-State Feedback 451 7.6 Selection of Pole Locations for Good Design 455 7.6.1 Dominant Second-Order Poles 456 7.6.2 Symmetric Root Locus (SRL) 457 7.6.3 Comments on the Methods 466 7.7 Estimator Design 466 7.7.1 Full-Order Estimators 466 7.7.2 Reduced-Order Estimators 472 7.7.3 Estimator Pole Selection 476 7.8 Compensator Design: Combined Control Law and Estimator 478 7.9 Introduction of the Reference Input with the Estimator 491 7.9.1 A General Structure for the Reference Input 492 7.9.2 Selecting the Gain 501 7.10 Integral Control and Robust Tracking 502 7.10.1 Integral Control 503 7.10.2 Robust Tracking Control: The Error-Space Approach 505 7.10.3 The Extended Estimator 516 7.11 Loop Transfer Recovery (LTR) 519 7.12 Direct Design with Rational Transfer Functions 524 7.13 Design for Systems with Pure Time Delay 527 7.14 Historical Perspective 530 Summary 533 Review Questions 534 Problems 536 8 Digital Control 558 A Perspective on Digital Control 558 Chapter Overview 559 8.1 Digitization 559 8.2 Dynamic Analysis of Discrete Systems 561 8.2.1 z-Transform 561 8.2.2 z-Transform Inversion 562 8.2.3 Relationship between s and z 565 8.2.4 Final Value Theorem 566 8.3 Design Using Discrete Equivalents 568 8.3.1 Matched Pole-Zero (MPZ) Method 571 8.3.2 Modified Matched Pole-Zero (MMPZ) Method 575 8.3.3 Comparison of Digital Approximation Methods 575 8.3.4 Applicability Limits of the Discrete Equivalent Design Method 576 8.4 Hardware Characteristics 577 8.4.1 Analog-to-Digital (A/D) Converters 577 8.4.2 Digital-to-Analog (D/A) Converters 578 8.4.3 Anti-Alias Prefilters 578 8.4.4 The Computer 579 8.5 Sample-Rate Selection 580 8.5.1 Tracking Effectiveness 581 8.5.2 Disturbance Rejection 581 8.5.3 Effect of Anti-Alias Prefilter 582 8.5.4 Asynchronous Sampling 583 8.6 Discrete Design 583 8.6.1 Analysis Tools 583 8.6.2 Feedback Properties 585 8.6.3 Discrete Design Example 586 8.6.4 Discrete Analysis of Designs 588 8.7 Historical Perspective 590 Summary 591 Review Questions 592 Problems 593 9 Nonlinear Systems 599 Perspective on Nonlinear Systems 599 Chapter Overview 600 9.1 Introduction and Motivation: Why Study Nonlinear Systems? 600 9.2 Analysis by Linearization 602 9.2.1 Linearization by Small-Signal Analysis 603 9.2.2 Linearization by Nonlinear Feedback 608 9.2.3 Linearization by Inverse Nonlinearity 608 9.3 Equivalent Gain Analysis Using the Root Locus 609 9.3.1 Integrator Antiwindup 615 9.4 Equivalent Gain Analysis Using Frequency Response: Describing Functions 619 9.4.1 Stability Analysis Using Describing Functions 625 9.5 Analysis and Design Based on Stability 629 9.5.1 The Phase Plane 630 9.5.2 Lyapunov Stability Analysis 636 9.5.3 The Circle Criterion 642 Summary 649 Review Questions 650 Problems 650 10 Control System Design: Principles and Case Studies 660 A Perspective on Design Principles 660 Chapter Overview 661 10.1 An Outline of Control Systems Design 662 10.2 Design of a Satellite’s Attitude Control 667 10.3 Lateral and Longitudinal Control of a Boeing 747 684 10.3.1 Yaw Damper 689 10.3.2 Altitude-Hold Autopilot 696 10.4 Control of the Fuel—Air Ratio in an Automotive Engine 702 10.5 Control of the Read/Write Head Assembly of a Hard Disk 709 10.6 Control ofRTP Systems in SemiconductorWafer Manufacturing 717 10.7 Chemotaxis or How E. Coli Swims Away from Trouble 731 10.8 Historical Perspective 739 Summary 741 Review Questions 742 Problems 743 Appendix A LaplaceTransforms 757 A.1 The L- Laplace Transform 757 A.1.1 Properties of Laplace Transforms 757 A.1.2 Inverse LaplaceTransform by Partial-Fraction Expansion 766 A.1.3 The Initial Value Theorem 769 A.1.4 Final Value Theorem 770 Appendix B Solutions to the End-of-Chapter Questions 772 Appendix C MATLAB® Commands 788 Bibliography 793 Index 803