book

Linear Systems

by Guang-Hong Yang, Xiang-Gui Guo, Wei-Wei Che, Wei Guan

December 2017

Intermediate to advanced

288 pages

5h 57m

English

CRC Press

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Cover
Half Title
Title Page
Copyright Page
Table of Contents
Preface
Symbol Description
1 Introduction
2 Preliminaries
2.1 Delta Operator Definition2.2 H∞ Performance Index2.3 Operations on Systems2.4 Some Other Definitions and Lemmas
3 Non-Fragile State Feedback Control with Norm-Bounded Gain Uncertainty
3.1 Introduction3.2 Problem Statement3.3 Non-Fragile Guaranteed Cost Controller Design3.3.1 Additive Controller Gain Uncertainty Case3.3.2 Multiplicative Controller Gain Uncertainty Case3.4 Example3.5 Conclusion

4 Non-Fragile Dynamic Output Feedback Control with Norm-Bounded Gain Uncertainty
4.1 Introduction4.2 Problem Statement4.3 Non-Fragile H∞ Dynamic Output Feedback Controller Design4.3.1 Additive Controller Gain Uncertainty Case4.3.2 Multiplicative Controller Gain Uncertainty Case4.4 Example4.5 Conclusion
5 Robust Non-Fragile Kalman Filtering with Norm-Bounded Gain Uncertainty
5.1 Introduction5.2 Problem Statement5.3 Robust Non-Fragile Filter Design5.3.1 Additive Gain Uncertainty Case5.3.2 Multiplicative Gain Uncertainty Case5.4 Example5.5 Conclusion
6 Non-Fragile Output Feedback Control with Interval-Bounded Coefficient Variations
6.1 Introduction6.2 Non-Fragile H∞ Controller Design for Discrete-Time Systems6.2.1 Problem Statement6.2.2 Non-Fragile H∞ Controller Design Methods6.2.3 Example
6.3 Non-Fragile H∞ Controller Design for Continuous-Time Systems
6.3.1 Problem Statement6.3.2 Non-Fragile H∞ Controller Design Methods6.3.3 Example6.4 Non-Fragile H∞ Controller Designs with Sparse Structures6.4.1 Problem Statement6.4.2 Sparse Structured Controller Design6.4.3 Example6.5 Conclusion
7 Non-Fragile H∞ Filtering with Interval-Bounded Coefficient Variations
7.1 Introduction7.2 Non-Fragile H∞ Filtering for Discrete-Time Systems7.2.1 Problem Statement7.2.2 Non-Fragile H∞ Filter Design Methods7.2.3 Example7.3 Non-Fragile H∞ Filter Design for Linear Continuous-Time Systems7.3.1 Problem Statement7.3.2 Non-Fragile H∞ Filter Design Methods7.3.3 Example
7.4 Sparse Structured H∞ Filter Design
7.4.1 Problem Statement7.4.2 Non-Fragile H∞ Filter Design with Sparse Structures7.4.3 Example7.5 Conclusion
8 Insensitive H∞ Filtering of Continuous-Time Systems
8.1 Introduction8.2 Problem Statement8.3 Insensitive H∞ Filter Design8.3.1 Additive Filter Coefficient Variation Case8.3.2 Multiplicative Filter Coefficient Variation Case8.4 Computation of Robust H∞ Performance Index8.5 Comparison with the Existing Design Method8.6 Example8.7 Conclusion
9 Insensitive H∞ Filtering of Delta Operator Systems
9.1 Introduction9.2 Problem Statement9.3 Insensitive H∞ Filter Design9.3.1 Additive Coefficient Variation Case9.3.2 Multiplicative Filter Coefficient Variation Case9.4 Example9.5 Conclusion
10 Insensitive H∞ Output Tracking Control
10.1 Introduction10.2 Problem Statement10.3 Insensitive H∞ Tracking Control Design10.4 Example10.5 Conclusion
11 Insensitive H∞ Dynamic Output Feedback Control
11.1 Introduction11.2 Problem Statement11.2.1 Sensitivity Function11.2.2 Sensitivity Measures11.2.3 Insensitive H∞ Control with Controller Coefficient Variations11.3 Insensitive H∞ Controller Design11.3.1 Step 1: General Conditions for the Existence of Insensitive H∞ Controllers11.3.2 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 Variations11.4 Example11.5 Conclusion
Bibliography
Index

Content preview from Linear Systems

LINEAR

SYSTEMS

Non-Fragile Control and Filtering

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Linear Systems

by Guang-Hong Yang, Xiang-Gui Guo, Wei-Wei Che, Wei Guan

Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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