Book description
The definitive guide to control system design
Modern Control System Theory and Design, Second Edition offers the most comprehensive treatment of control systems available today. Its unique text/software combination integrates classical and modern control system theories, while promoting an interactive, computer-based approach to design solutions. The sheer volume of practical examples, as well as the hundreds of illustrations of control systems from all engineering fields, make this volume accessible to students and indispensable for professional engineers.
This fully updated Second Edition features a new chapter on modern control system design, including state-space design techniques, Ackermann's formula for pole placement, estimation, robust control, and the H method for control system design. Other notable additions to this edition are:
Free MATLAB software containing problem solutions, which can be retrieved from The Mathworks, Inc., anonymous FTP server at
ftp://ftp.mathworks.com/pub/books/shinners
Programs and tutorials on the use of MATLAB incorporated directly into the text
A complete set of working digital computer programs
Reviews of commercial software packages for control system analysis
An extensive set of new, worked-out, illustrative solutions added in dedicated sections at the end of chapters
Expanded end-of-chapter problems--one-third with answers to facilitate self-study
An updated solutions manual containing solutions to the remaining two-thirds of the problems
Superbly organized and easy-to-use, Modern Control System Theory and Design, Second Edition is an ideal textbook for introductory courses in control systems and an excellent professional reference. Its interdisciplinary approach makes it invaluable for practicing engineers in electrical, mechanical, aeronautical, chemical, and nuclear engineering and related areas.
Table of contents
- Coverpage
- Titlepage
- Copyright
- Dedication
- Contents
- Preface
- 1 General Concept of Control-System Design
-
2 Mathematical Techniques for Control-System Analysis
- 2.1. Introduction
- 2.2. Review of Complex Variables, Complex Functions, and the s Plane
- 2.3. Review of Fourier Series and Fourier Transform
- 2.4. Review of the Laplace Transform
- 2.5. Useful Laplace Transforms
- 2.6. Important Properties of the Laplace Transform
- 2.7. Inversion by Partial Fraction Expansion
- 2.8. Application of MATLAB to Control Systems
- 2.9. Inversion with Partial Fraction Expansion Using MATLAB
- 2.10. Laplace-Transform Solution of Differential Equations
- 2.11. Transfer-Function Concept
- 2.12. Transfer Functions of Common Networks
- 2.13. Transfer Functions of Systems
- 2.14. Signal-Flow Graphs and Mason’s Theorem
- 2.15. Reduction of the Signal-Flow Graph
- 2.16. Application of Mason’s Theorem and the Signal-Flow Graph to Multiple-Feeback Systems
- 2.17. Disturbance Signals in Feedback Control Systems
- 2.18. Operational Amplifiers
- 2.19. Simulation Diagrams
- 2.20. Review of Matrix Algebra
- 2.21. State-Variable Concepts
- 2.22. State-Variable Diagram
- 2.23. Transformation Between the State-Space Form and the Transfer Function Form using MATLAB
- 2.24. Digital Computer Evaluation of the Time Response
- 2.25. Obtaining the Transient Response of Systems Using MATLAB
- 2.26. State Transition Matrix
- 2.27. Total Solution of the State Equation
- 2.28. Evaluation of the State Transition Matrix from an Exponential Series
- 2.29. Summary
- 2.30. Illustrative Problems and Solutions
- Problems
- References
-
3 State Equations and Transfer-Function Representation of Physical Linear Control-System Elements
- 3.1. Introduction
- 3.2. State Equations of Electrical Networks
- 3.3. Transfer-Function and State-Variable Representation of Typical Mechanical Control-System Devices
- 3.4. Transfer-Function and State-Variable Representation of Typical Electromechanical Control-System Devices
- 3.5. Transfer-Function and State-Variable Representation of Typical Hydraulic Devices
- 3.6. Transfer-Function Representation of Thermal Systems
- 3.7. A Generalized Approach for Modeling—the Principles of Conservation and Analogy
- 3.8. Illustrative Problems and Solutions
- Problems
- References
-
4 Second-Order Systems
- 4.1. Introduction
- 4.2. Characteristic Responses of Second-Order Control Systems
- 4.3. Relation Between Location of Roots in the s-Plane and the Transient Response
- 4.4. State-Variable Signal-Flow Graph of a Second-Order System
- 4.5. What is the Best Damping Ratio to Use?
- 4.6. Modeling the Transfer Functions of Control Systems
- 4.7. Illustrative Problems and Solutions
- Problems
- References
-
5 Performance Criteria
- 5.1. Introduction
- 5.2. Stability
- 5.3. Sensitivity
- 5.4. Static Accuracy
- 5.5. Transient Response
- 5.6. Performance Indices
- 5.7. Zero-Error Systems
- 5.8. The ITAE Performance Criterion for Optimizing the Transient Response
- 5.9. Other Practical Considerations
- 5.10. Illustrative Problems and Solutions
- Problems
- References
-
6 Techniques for Determining Control-System Stability
- 6.1. Introduction
- 6.2. Determining the Characteristic Equation using Conventional and State-Variable Methods
- 6.3. Routh—Hurwitz Stability Criterion
- 6.4. Mapping Contours From the s-Plane to the F(s)-Plane
- 6.5. Nyquist Stability Criterion
- 6.6. Nyquist Diagrams Using MATLAB
- 6.7. Bode-Diagram Approach
- 6.8. Bode Diagrams Using MATLAB
- 6.9. Digital Computer Programs for Obtaining the Open-Loop and Closed-Loop Frequency Responses and the Time-Domain Response
- 6.10. Nichols Chart
- 6.11. Nichols Chart Using MATLAB
- 6.12. Relationship between Closed-Loop Frequency Response and the Time-Domain Response
- 6.13. Closed-Loop Frequency Bandwidth and Cutoff Frequency
- 6.14. Root-Locus Method for Negative-Feedback Systems
- 6.15. Root Locus of Time-Delay Factors
- 6.16. Root-Locus Method for Positive-Feedback Systems
- 6.17. Root-Locus Method for Control Systems Using MATLAB
- 6.18. Digital Computer Program for Obtaining the Root Locus
- 6.19. Control Systems Containing Multiple Gain Margins
- 6.20. Comparison of the Nyquist Diagram, Bode Diagram, Nichols Chart, and Root Locus for 12 Commonly Used Transfer Functions
- 6.21. Commercially Available Software Packages for Computer-Aided Control-System Design
- 6.22. What is the “Best” Stability Analysis Technique? Guidelines for using the Analysis Techniques Presented
- 6.23. Illustrative Problems and Solutions
- Problems
- References
-
7 Linear Control-System Compensation and Design
- 7.1. Introduction
- 7.2. Cascade-Compensation Techniques
- 7.3. Minor-Loop Feedback-Compensation Techniques
- 7.4. Proportional-Plus-Integral-Plus Derivative (PID) Compensators
- 7.5. Example for the Design of a Second-Order Control System
- 7.6. Compensation and Design using the Bode-Diagram Method
- 7.7. Approximate Methods for Preliminary Compensation and Design using the Bode Diagram
- 7.8. Compensation and Design using the Nichols Chart
- 7.9. Compensation and Design using the Root-Locus Method
- 7.10. Tradeoffs of using Various Cascade-Compensation Methods and Minor-Loop Feedback
- 7.11. Illustrative Problems and Solutions
- Problems
- References
-
8 Modern Control-System Design using State-Space, Pole Placement, Ackermann’s Formula, Estimation, Robust Control, and H∞ Techniques
- 8.1. Introduction
- 8.2. Pole-Placement Design using Linear-State-Variable Feedback
- 8.3. Controller Design using Pole Placement and Linear-State-Variable Feedback Techniques
- 8.4. Controllability
- 8.5. Observability
- 8.6. Ackermann’s Formula for Design using Pole Placement
- 8.7. Estimator Design in Conjunction with the Pole Placement Approach using Linear-State-Variable Feedback
- 8.8. Combined Compensator Design Including a Controller and an Estimator for a Regulator System
- 8.9. Extension of Combined Compensator Design Including a Controller and an Estimator for Systems Containing a Reference Input
- 8.10. Robust Control Systems
- 8.11. An Introduction to H∞ Control Concepts
- 8.12. Foundations of H∞ Control Theory
- 8.13. Linear Algebraic Aspects of Control-System Design Computations
- 8.14. Illustrative Problems and Solutions
- Problems
- References
- Appendix A Laplace-Transform Table
- Appendix B Proof of the Nyquist Stability Criterion
- Answers to Selected Problems
- Index
Product information
- Title: Modern Control System Theory and Design, 2nd Edition
- Author(s):
- Release date: May 1998
- Publisher(s): Wiley-Interscience
- ISBN: 9780471249061
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