Robust Control System Design

by Tsui, Chia-Chi

• ISBN13: 9780824797393
• ISBN10: 0824797396
• Format: Hardcover
• Copyright: 1996-06-01
• Publisher: Marcel Dekker Inc

Summary

Introduces a fundamentally new approach to state space control system design-realizing uniquely the robustness properties of state feedback control. End-of-chapter problems offered. DLC: Feedback control systems - Design and construction.

Table of Contents

Preface	v
System Mathematical Models and Basic Properties	1	(28)
Two Kinds of Mathematical Models	2	(9)
Eigenstructure Decomposition of a State Space Model	11	(3)
System Order, Controllability and Observability	14	(9)
System Poles and Zeros	23	(6)
Exercises	26	(3)
Single-System Performance and Sensitivity	29	(32)
System Performance	30	(11)
System Sensitivity and Robustness	41	(20)
The sensitivity of eigenvalues (robust performance)	45	(6)
The sensitivity of system stability (robust stability)	51	(6)
Conclusion	57	(1)
Exercises	58	(3)
Feedback System Sensitivity	61	(24)
Sensitivity and Loop Transfer Function of Feedback Systems	62	(8)
Sensitivity to system model uncertainty	64	(2)
Sensitivity to control input disturbance	66	(4)
Sensitivity of Feedback Systems of Modern Control Theory	70	(15)
State feedback control systems	70	(3)
Static output feedback control systems	73	(2)
Observer feedback systems--loop transfer recovery	75	(9)
Summary	84	(1)
A New Feedback Control Design Approach	85	(24)
Basic Design Concept of Observers--Direct Generation of State Feedback Control Without Explicit System States	86	(6)
Performance of Observer Feedback Systems--Separation Property	92	(3)
The Current State of LTR Observer Design	95	(5)
A New Design Approach and New Feedback Structure--A Dynamic Output Feedback Compensator Which Implements State Feedback/Generalized State Feedback Control	100	(9)
Exercises	106	(3)
Solution of Matrix Equation TA - FT = LC	109	(24)
Computation of a System's Observable Hessenberg Form	110	(8)
Single-variable systems	110	(2)
Multivariable systems	112	(6)
Solving Matrix Equation TA - FT = LC	118	(15)
Case A	119	(4)
Case B	123	(8)
Exercises	131	(2)
Design of Feedback Compensator--Dynamic Part	133	(40)
Solving Matrix Equation TB = 0 for Robustness Realization	134	(2)
Analysis and Examples of This Design	136	(16)
Complete Unification of Two Existing Basic Modern Control System Structures	152	(2)
Minimal Order Observer Design	154	(19)
Exercises	171	(2)
Design of Feedback Control--Eigenstructure Assignment	173	(40)
Selection and Placement of Feedback System Poles	174	(13)
Eigenvalue (pole) selection	174	(2)
Eigenvalue assignment by state feedback control	176	(3)
Eigenvalue assignment by generalized state feedback control	179	(8)
Eigenvector Assignment	187	(26)
Numerical iterative methods	188	(7)
Analytical decoupling method	195	(13)
Exercises	208	(5)
Design of Feedback Control--Quadratic Optimal Control	213	(12)
Direct State Feedback Design	215	(3)
Generalized State Feedback Design	218	(4)
Comparison of Feedback Control Designs	222	(3)
Exercises	224	(1)
Design of Failure Detection, Isolation, and Accommodation Compensators	225	(30)
Failure Detection and Isolation	226	(10)
Problem formulation and analysis	226	(5)
Design algorithm	231	(5)
Adaptive State Feedback Control for Failure Accommodation	236	(6)
The Treatment of Model Uncertainty and Measurement Noise	242	(13)
Exercises	254	(1)
Appendix A. Relevant Linear Algebra and Numerical Linear Algebra	255	(26)
A.1 Linear Space and Linear Operators	255	(9)
A.1.1 Linear dependence, linear independence, and linear space	255	(6)
A.1.2 Basis, linear transformation, and orthogonal linear transformation	261	(3)
A.2 Computation of Matrix Decomposition	264	(9)
A.3 Singular Value Decomposition (SVD)	273	(8)
A.3.1 Definition and existence	273	(1)
A.3.2 Properties	274	(2)
A.3.3 Applications	276	(5)
Appendix B. Design Projects and Problems	281	(10)
References	291	(16)
Index	307