Optimum Design of Digital Control Systems

Optimum Design of Digital Control Systems
JULIUS T. TOU
Computer Sciences Laboratory The Technological Institute
Northwestern University, Evanston, Illinois
Contents
Preface vii
Chapter 1
Introduction
1.1 Modern Control Concepts
1.2 Importance of Mathematical Programming
1.3 Dynamic Programming Approach . . . .
1.4 The Scope of the Monograph
Chapter 2
General Principles of Optimum Design
2.1 Dynamic Characteristics of the Plant . . . .
2.2 Some Aspects in Modern Control Theory . .
2.3 Formulation of the Optimum Control Problem
2.4 Review of Optimization Techniques for Control System Design . 27
2.5 Numerical Method for the Variational Problem
Chapter 3
Optimum Control for Multivariable Processes
3.1 Introduction 41
3.2 The Optimum Control Problem
3.3 Optimum Control Law . . . .
3.4 Special Cases
3.6 Conclusion
Chapter 4
Optimum Control for Processes with Inaccessible State
Variables
4.1 Introduction
4.2 The Optimum Control Problem
4.3 Optimum Control Law
4.4 A Fundamental Theorem of Optimum Control
4.5 Conclusion .
Chapter 5
Optimum Estimation of State Variables
5.1 Introduction
5.2 The Optimum Estimation Problem . . . .
5.3 Design of the Optimum Estimator . . . .
5.4 Determination of the Conversion Matrix A 0
5.5 Conclusion
Chapter 6
Optimum Control for Random-Parameter Processes
6.1 Introduction
6.2 Optimum Control Law
6.3 Process with Inaccessible State Variables
6.4 Effect of External Random Disturbance
6.5 Conclusion
Chapter 7
An Illustrative Example
7.1 Statement of the Problem . . . .
7.2 Design of Optimum Digital Control
Chapter 8
Design for Optimum Quantization
8.1 Introduction
8.2 Quantization in Digital Control Systems
8.3 Modes of Control and Design Parameters
8.4 Optimum Control of the First Kind . .
8.5 Optimum Control of the Second Kind
8.6 Conclusion
Chapter 9
Time Responses for Optimum Quantized Systems
9.1 Introduction
9.2 Optimum Control of the First Kind
9.3 Optimum Control of the Second Kind
9.4 Conclusion
APPENDIX A. PROBLEMS 171
REFERENCES 181
ADDITIONAL REFERENCES
AUTHOR INDEX
SUBJECT INDEX 18
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