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by Wei Guan, Wei-Wei Che, Xiang-Gui Guo, Guang-Hong Yang
Linear Systems
Cover
Half Title
Title Page
Copyright Page
Table of Contents
Preface
Symbol Description
1 Introduction
2 Preliminaries
2.1 Delta Operator Definition
2.2 H∞ Performance Index
2.3 Operations on Systems
2.4 Some Other Definitions and Lemmas
3 Non-Fragile State Feedback Control with Norm-Bounded Gain Uncertainty
3.1 Introduction
3.2 Problem Statement
3.3 Non-Fragile Guaranteed Cost Controller Design
3.3.1 Additive Controller Gain Uncertainty Case
3.3.2 Multiplicative Controller Gain Uncertainty Case
3.4 Example
3.5 Conclusion
4 Non-Fragile Dynamic Output Feedback Control with Norm-Bounded Gain Uncertainty
4.1 Introduction
4.2 Problem Statement
4.3 Non-Fragile H∞ Dynamic Output Feedback Controller Design
4.3.1 Additive Controller Gain Uncertainty Case
4.3.2 Multiplicative Controller Gain Uncertainty Case
4.4 Example
4.5 Conclusion
5 Robust Non-Fragile Kalman Filtering with Norm-Bounded Gain Uncertainty
5.1 Introduction
5.2 Problem Statement
5.3 Robust Non-Fragile Filter Design
5.3.1 Additive Gain Uncertainty Case
5.3.2 Multiplicative Gain Uncertainty Case
5.4 Example
5.5 Conclusion
6 Non-Fragile Output Feedback Control with Interval-Bounded Coefficient Variations
6.1 Introduction
6.2 Non-Fragile H∞ Controller Design for Discrete-Time Systems
6.2.1 Problem Statement
6.2.2 Non-Fragile H∞ Controller Design Methods
6.2.3 Example
6.3 Non-Fragile H∞ Controller Design for Continuous-Time Systems
6.3.1 Problem Statement
6.3.2 Non-Fragile H∞ Controller Design Methods
6.3.3 Example
6.4 Non-Fragile H∞ Controller Designs with Sparse Structures
6.4.1 Problem Statement
6.4.2 Sparse Structured Controller Design
6.4.3 Example
6.5 Conclusion
7 Non-Fragile H∞ Filtering with Interval-Bounded Coefficient Variations
7.1 Introduction
7.2 Non-Fragile H∞ Filtering for Discrete-Time Systems
7.2.1 Problem Statement
7.2.2 Non-Fragile H∞ Filter Design Methods
7.2.3 Example
7.3 Non-Fragile H∞ Filter Design for Linear Continuous-Time Systems
7.3.1 Problem Statement
7.3.2 Non-Fragile H∞ Filter Design Methods
7.3.3 Example
7.4 Sparse Structured H∞ Filter Design
7.4.1 Problem Statement
7.4.2 Non-Fragile H∞ Filter Design with Sparse Structures
7.4.3 Example
7.5 Conclusion
8 Insensitive H∞ Filtering of Continuous-Time Systems
8.1 Introduction
8.2 Problem Statement
8.3 Insensitive H∞ Filter Design
8.3.1 Additive Filter Coefficient Variation Case
8.3.2 Multiplicative Filter Coefficient Variation Case
8.4 Computation of Robust H∞ Performance Index
8.5 Comparison with the Existing Design Method
8.6 Example
8.7 Conclusion
9 Insensitive H∞ Filtering of Delta Operator Systems
9.1 Introduction
9.2 Problem Statement
9.3 Insensitive H∞ Filter Design
9.3.1 Additive Coefficient Variation Case
9.3.2 Multiplicative Filter Coefficient Variation Case
9.4 Example
9.5 Conclusion
10 Insensitive H∞ Output Tracking Control
10.1 Introduction
10.2 Problem Statement
10.3 Insensitive H∞ Tracking Control Design
10.4 Example
10.5 Conclusion
11 Insensitive H∞ Dynamic Output Feedback Control
11.1 Introduction
11.2 Problem Statement
11.2.1 Sensitivity Function
11.2.2 Sensitivity Measures
11.2.3 Insensitive H∞ Control with Controller Coefficient Variations
11.3 Insensitive H∞ Controller Design
11.3.1 Step 1: General Conditions for the Existence of Insensitive H∞ Controllers
11.3.2 Step 2: Non-Fragile H∞ Controller Design with Interval-Bounded Controller Coefficient Variations
11.3.3 Summary of the Approach
11.3.4 Insensitive H∞ Control with Multiplicative Controller Coefficient Variations
11.4 Example
11.5 Conclusion
Bibliography
Index
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LINEAR
SYSTEMS
Non-Fragile Control and Filtering
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