1 Introduction and Preview |
|
1 | (16) |
|
|
1 | (3) |
|
1.2 Problem Formulation and Preliminaries |
|
|
4 | (10) |
|
1.2.1 Output Feedback Hinfinity Control |
|
|
4 | (1) |
|
1.2.2 Hinfinity Filtering |
|
|
5 | (1) |
|
1.2.3 LMI and Matrix Properties |
|
|
6 | (8) |
|
|
14 | (3) |
2 Robust Static Output Feedback Hinfinity Control |
|
17 | (78) |
|
2.1 With Time-Invariant Polytopic Uncertainties |
|
|
17 | (66) |
|
2.1.1 Discrete-Time Systems |
|
|
17 | (57) |
|
2.1.2 Continuous-Time Systems |
|
|
74 | (9) |
|
2.2 With Norm Bounded Uncertainties |
|
|
83 | (7) |
|
|
90 | (3) |
|
|
90 | (1) |
|
|
90 | (3) |
|
|
93 | (1) |
|
|
93 | (2) |
3 Robust Dynamic Output Feedback Hinfinity Control |
|
95 | (30) |
|
|
95 | (1) |
|
|
96 | (6) |
|
3.3 LMI Decoupling Approach |
|
|
102 | (8) |
|
3.4 A Whole Design Strategy |
|
|
110 | (10) |
|
3.5 For the Case D(θ) is not = to 0 and H(θ) is not = to 0 |
|
|
120 | (2) |
|
|
122 | (1) |
|
|
123 | (1) |
|
|
124 | (1) |
4 Robust Observer-Based Output Feedback Hinfinity Control |
|
125 | (30) |
|
4.1 With Time-Invariant Polytopic Uncertainties |
|
|
125 | (10) |
|
|
127 | (5) |
|
|
132 | (3) |
|
4.2 With Time-Varying Norm Bounded Uncertainties |
|
|
135 | (17) |
|
4.2.1 The Two-Step Process with a Selection |
|
|
135 | (6) |
|
4.2.2 A Simple LMI Result |
|
|
141 | (4) |
|
4.2.3 LMI Decoupling Approach |
|
|
145 | (7) |
|
|
152 | (1) |
|
|
153 | (2) |
5 Robust Hinfinity Filtering |
|
155 | (36) |
|
|
155 | (22) |
|
5.1.1 Hinfinity Performance Analysis |
|
|
156 | (4) |
|
5.1.2 Robust Hinfinity Filters Design |
|
|
160 | (14) |
|
5.1.3 LMI Decoupling Approach |
|
|
174 | (3) |
|
5.2 Continuous-Time Systems |
|
|
177 | (12) |
|
5.2.1 Hinfinity Performance Analysis |
|
|
177 | (4) |
|
5.2.2 Robust Hinfinity Filters Design |
|
|
181 | (8) |
|
|
189 | (1) |
|
|
189 | (1) |
|
|
190 | (1) |
6 With Other Types of Uncertainties |
|
191 | (54) |
|
6.1 With Feedback Uncertainties |
|
|
191 | (42) |
|
6.1.1 Robust Output Feedback Hinfinity Control |
|
|
191 | (9) |
|
6.1.2 Robust Hinfinity Filtering |
|
|
200 | (11) |
|
6.1.3 Output Feedback Non-fragile Hinfinity Control with Type III |
|
|
211 | (7) |
|
6.1.4 Non-fragile Hinfinity Filtering with Type I and Type II |
|
|
218 | (15) |
|
6.2 Frobenius Norm Uncertainties |
|
|
233 | (11) |
|
6.2.1 Observer-Based Output Feedback Non-fragile Hinfinity Control |
|
|
234 | (7) |
|
|
241 | (3) |
|
|
244 | (1) |
|
|
244 | (1) |
Glossary |
|
245 | |