Robust Control System Design: Advanced State Space Techniques(Automation and Control Engineering)

Robust Control System Design: Advanced State Space Techniques, Second Edition expands upon a groundbreaking and combinatorial approach to state space control system design that fully realizes the critical loop transfer function and robustness properties of state/generalized state feedback control. This edition offers many new examples and exercises to illustrate and clarify new design concepts, approaches, and procedures while highlighting the fact that state/generalized state feedback control can improve system performance and robustness more effectively than other forms of control.

Revised and expanded throughout, the second edition presents an improved eigenstructure assignment design method that enhances system performance and robustness more directly and effectively and allows for adjustment of design formulations based on design testing and simulation. The author proposes the systematic controller order adjustment for the tradeoff between performance and robustness based on the complete unification of the state feedback control and static output feedback control. The book also utilizes a more accurate robust stability measure to guide control designs.

Table of Contents:
SYSTEM MATHEMATICAL MODELS AND BASIC PROPERTIES
Two Kinds of Mathematical Models
Eigenstructure Decomposition of a State Space Model
System Order, Controllability, and Observability
System Poles and Zeros
Exercises
SINGLE-SYSTEM PERFORMANCE AND SENSITIVITY
System Performance
System Sensitivity and Robustness
Conclusion
Exercises
FEEDBACK SYSTEM SENSITIVITY
Sensitivity and the Loop Transfer Function of Feedback Systems
Sensitivity of Feedback Systems of Modern Control Theory
Summary
A NEW FEEDBACK CONTROL DESIGN APPROACH
Basic Design Concept of Observers: Direct Generation of State Feedback Control Signal Without Explicit System States
Performance of Observer Feedback Systems: Separation Property
The Current State of LTR Observer Design
A New Design Approach and New Feedback Structure: A Dynamic Output Feedback Compensator that Generates State/Generalized State Feedback Control Signal
Exercises
SOLUTION OF MATRIX EQUATION TA-FT=LC
Computation of a System's Observable Hessenberg Form
Solving Matrix Equation TA-FT=LC
Exercises
OBSERVER (DYNAMIC PART) DESIGN FOR ROBUSTNESS REALIZATION
Solution of Matrix Equation TB = 0
Analysis and Examples of This Design Solution
Complete Unification of Two Existing Basic Modern Control System Structures
Observer Order Adjustment to Tradeoff Between Performance and Robustness
Exercises
OBSERVER DESIGN FOR MINIMIZED ORDER
Design Formulation
Design Algorithm and Its Analysis
Examples and Significance of This Design
Exercises
DESIGN OF FEEDBACK CONTROL: EIGENSTRUCTURE ASSIGNMENT
Selection and Placement of Feedback System Poles
Eigenvector Assignment
Summary
Exercises
DESIGN OF FEEDBACK CONTROL: QUADRATIC OPTIMAL CONTROL
Design of Direct State Feedback Control
Design of Generalized State Feedback Control
Comparison and Conclusion of Feedback Control
Designs
Exercises
DESIGN OF FAILURE DETECTION, ISOLATION, AND ACCOMMODATION Compensators
Failure Detection and Isolation
Adaptive State Feedback Control for Failure Accommodation
The Treatment of Model Uncertainty and Measurement Noise
Exercises
APPENDIX A: RELEVANT LINEAR ALGEBRA AND NUMERICAL LINEAR ALGEBRA
APPENDIX B: DESIGN PROJECTS AND PROBLEMS
REFERENCES
INDEX