# Feedback Control Systems, CourseSmart eTextbook, 5th Edition

Published Date: Dec 6, 2010

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## Description

For junior/senior-level Control Theory courses in Electrical, Mechanical, and Aerospace Engineering.

This text offers a thorough analysis of the principles of classical and modern feedback control. Organizing topic coverage into three sections—linear analog control systems, linear digital control systems, and nonlinear analog control systems—helps students understand the difference between mathematical models and the physical systems that the models represent.

1    INTRODUCTION

1.1  The Control Problem

1.2  Examples of Control Systems

1.3  Short History of Control

References

2    MODELS OF PHYSICAL SYSTEMS

2.1  System Modeling

2.2  Electrical Circuits

2.3  Block Diagrams and Signal Flow Graphs

2.4  Masonís Gain Formula

2.5  Mechanical Translational Systems

2.6  Mechanical Rotational Systems

2.7  Electromechanical Systems

2.8  Sensors

2.9  Temperature-control System

2.10 Analogous Systems

2.11 Transformers and Gears

2.12 Robotic Control System

2.13 System Identification

2.14 Linearization

2.15 Summary

References

Problems

3    STATE-VARIABLE MODELS

3.1  State-Variable Modeling

3.2  Simulation Diagrams

3.3  Solution of State Equations

3.4  Transfer Functions

3.5  Similarity Transformations

3.6  Digital Simulation

3.7  Controls Software

3.8  Analog Simulation

3.9  Summary

References

Problems

4    SYSTEM RESPONSES

4.1  Time Response of First-Order Systems

4.2  Time Response of Second-order Systems

4.3  Time Response Specifications in Design

4.4  Frequency Response of Systems

4.5  Time and Frequency Scaling

4.6  Response of Higher-order Systems

4.7  Reduced-order Models

4.8  Summary

References

Problems

5    CONTROL SYSTEM CHARACTERISTICS

5.1  Closed-loop Control System

5.2  Stability

5.3  Sensitivity

5.4  Disturbance Rejection

5.6  Transient Response

5.7  Closed-loop Frequency Response

5.8  Summary

References

Problems

6    STABILITY ANALYSIS

6.1  Routh-Hurwitz Stability Criterion

6.2  Roots of the Characteristic Equation

6.3  Stability by Simulation

6.4  Summary

Problems

7    ROOT-LOCUS ANALYSIS AND DESIGN

7.1  Root-Locus Principles

7.2  Some Root-Locus Techniques

7.4  Additional Properties of the Root Locus

7.5  Other Configurations

7.6  Root-Locus Design

7.9  Phase-Lag Design

7.10 PID Design

7.11 Analytical PID Design

7.12 Complementary Root Locus

7.13 Compensator Realization

7.14 Summary

References

Problems

8    FREQUENCY-RESPONSE ANALYSIS

8.1  Frequency Responses

8.2  Bode Diagrams

8.4  Nyquist Criterion

8.5  Application of the Nyquist Criterion

8.6  Relative Stability and the Bode Diagram

8.7  Closed-Loop Frequency Response

8.8  Summary

References

Problems

9    FREQUENCY-RESPONSE DESIGN

9.1  Control System Specifications

9.2  Compensation

9.3  Gain Compensation

9.4  Phase-Lag Compensation

9.6  Analytical Design

9.8  PID Controller Design

9.9  Analytical PID Controller Design

9.10 PID Controller Implementation

9.11 Frequency-Response Software

9.12 Summary

References

Problems

10   MODERN CONTROL DESIGN

10.1 Pole-Placement Design

10.2 Ackermannís Formula

10.3 State Estimation

10.4 Closed-Loop System Characteristics

10.5 Reduced-Order Estimators

10.6 Controllability and Observability

10.7 Systems with Inputs

10.8 Summary

References

Problems

11   DISCRETE-TIME SYSTEMS

11.1 Discrete-Time System

11.2 Transform Methods

11.3 Theorems of the z-Transform

11.4 Solution of Difference Equations

11.5 Inverse z-Transform

11.6 Simulation Diagrams and Flow Graphs

11.7 State Variables

11.8 Solution of State Equations

11.9 Summary

References

Problems

12   SAMPLED-DATA SYSTEMS

12.1 Sampled Data

12.2 Ideal Sampler

12.3 Properties of the Starred Transform

12.4 Data Reconstruction

12.5 Pulse Transfer Function

12.6 Open-Loop Systems Containing Digital Filters

12.7 Closed-Loop Discrete-Time Systems

12.8 Transfer Functions for Closed-Loop Systems

12.9 State Variables for Sampled-Data Systems

12.10     Summary

References

Problems

13   ANALYSIS AND DESIGN OF DIGITAL CONTROL SYSTEMS

13.1 Two Examples

13.2 Discrete System Stability

13.3 Juryís Test

13.4 Mapping the s-Plane into the z-Plane

13.5 Root Locus

13.6 Nyquist Criterion

13.7 Bilinear Transformation

13.8 RouthñHurwitz Criterion

13.9 Bode Diagram

13.11     Design of Digital Control Systems

13.12     Phase-Lag Design

13.14     Digital PID Controllers

13.15     Root-Locus Design

13.16     Summary

References

Problems

14 DISCRETE-TIME POLE-ASSIGNMENT AND STATE ESTIMATION

14.1 Introduction

14.2 Pole Assignment

14.3 State Estimtion

14.4 Reduced-Order Observers

14.5 Current Observers

14.6 Controllability and Observability

14.7 Systems and Inputs

14.8 Summary

References

Problems

15   NONLINEAR SYSTEM ANALYSIS

15.1 Nonlinear System Definitions and Properties

15.2 Review of the Nyquist Criterion

15.3 Describing Function

15.4 Derivations of Describing Functions

15.5 Use of the Describing Function

15.6 Stability of Limit Cycles

15.7 Design

15.8 Application to Other Systems

15.9 Linearization

15.10     Equilibrium States and Lyapunov Stability

15.11     State Plane Analysis

15.12     Linear-System Response

15.13     Summary

References

Problems

APPENDICES

A    Matrices

B    Laplace Transform

C    Laplace Transform and z-Transform Tables

D    MATLAB Commands Used in This Text

INDEX

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Feedback Control Systems, CourseSmart eTextbook, 5th Edition
Format: Safari Book

\$95.99 | ISBN-13: 978-0-13-139302-8