Springer,
New York, London, 1998 (¥ PDF
¥)
Series of Lecture Notes in Control and Information
Sciences, xi/356 pages / ISBN 1-85233-026-0
Table of Contents
1 Introduction {1} 1.1 Introduction
1.2 Notations and Terminology
1.3 Statement of H∞ Optimization Problem
1.4 Preview of Chapters
2 Linear System Tools {11} 2.1 Jordan and Real Jordan Canonical Forms
2.2 Brunovsky and Block Diagonal Controllability Forms
2.3 Special Coordinate Basis
2.4 Proofs of Properties of Special Coordinate Basis
3 Existence Conditions of H∞ Suboptimal Controllers {49} 3.1 Continuous-time Systems
3.2 Discrete-time Systems
4 Bilinear Transformations and Discrete Riccati Equations {59} 4.1 Structural Mappings of Bilinear Transformations
4.1.1 Continuous-time to Discrete-time
4.1.2 Discrete-time to Continuous-time
4.1.3 Proof of Theorem 4.1.1
4.2 Solutions to Discrete-time Riccati Equations
4.2.1 Solution to a General DARE
4.2.2 Solution to an H∞-DARE
5 Infima in Continuous-time H∞ Optimization {101} 5.1 Full Information Feedback Case
5.2 Output Feedback Case
5.3 Plants with Imaginary Axis Zeros
6 Solutions to Continuous-time H∞ Problem {131} 6.1 Full State Feedback
6.2 Full Order Output Feedback
6.3 Reduced Order Output Feedback
6.4 Proofs of Main Results
7 Continuous-time H∞ Almost Disturbance Decoupling {165} 7.1 Introduction
7.2 Solvability Conditions
7.3 Solutions to Full State Feedback Case
7.4 Solutions to Output Feedback Case
7.4.1 Full Order Output Feedback
7.4.2 Reduced Order Output Feedback
7.5 Proofs of Main Results
8 Infima in Discrete-time H∞ Optimization {203} 8.1 Full Information Feedback Case
8.2 Output Feedback Case
8.3 Plants with Unit Circle Zeros
9 Solutions to Discrete-time H∞ Problem {223} 9.1 Full Information and State Feedbacks
9.2 Full Order Output Feedback
9.3 Reduced Order Output Feedback
10 Discrete-time H∞ Almost Disturbance Decoupling {241} 10.1 Introduction
10.2 Solvability Conditions
10.3 Solutions to State and Full Information Feedback Cases
10.4 Solutions to Measurement Feedback Case
10.4.1 Full Order Output Feedback
10.4.2 Reduced Order Output Feedback
10.5 Proofs of Main Results
11 A Piezoelectric Actuator System Design {283} 11.1 Introduction
11.2 Linearization of the Nonlinear Hysteretic Dynamics
11.3 Formulation of the Problem as an H∞-ADDPMS
11.4 Final Controller and Simulation Results
12 A Gyro-stabilized Mirror Targeting System Design {309} 12.1 Introduction
12.2 The Free Gyro-stabilized Mirror System
12.3 Controller Design Using an H∞ Approach
12.4 Simulation and Implementation Results
13 An Open Problem {333}
Bibliography {337}
Index {349}
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