Unmeasurable gain scheduling function

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Table of contents

1 Introduction 
1.1 Context of the Thesis
1.2 Introduction
1.3 Main contributions
2 Overview of D-LPV systems 
2.1 Definition of D-LPV systems
2.2 Biographical review
2.2.1 Measurable scheduling functions case
2.2.2 Unmeasurable gain scheduling function case
2.3 Modeling of D-LPV systems
2.3.1 Linearization
2.3.2 The sector nonlinearity approach
2.4 Properties of D-LPV systems
2.4.1 Stability and admissibility of D-LTI systems
2.4.2 Stability of D-LPV systems
2.4.3 Observability
2.5 State observers for D-LPV systems with unmeasurable gain scheduling
2.5.1 Definitions
2.5.2 Observer design
2.6 Descriptor System Package
2.7 Conclusions
3 Robust H• state observer design 
3.1 Preliminary definitions
3.2 Approach 1: Descriptor observer approach
3.3 Approach 2: The uncertain system approach
3.4 Approach 3: Observer design by considering the uncertain error system approach
3.4.1 Observer design without disturbances
3.4.2 Observer design with disturbances
3.5 Comparison between the three approaches
3.6 Application to robust fault detection and fault isolation
3.6.1 Sensor fault detection and isolation
3.6.2 Comparison between the three approaches under faults
3.7 Robust fault estimation based on H• observer
3.8 Conclusions
4 Fault detection observer design based on the H−/H• performance 
4.1 Introduction
4.2 Problem statement
4.3 Observer gain synthesis
4.3.1 Fault sensitivity condition
4.3.2 Robustness condition
4.3.3 Mixed H−/H• observer design
4.4 Illustrative Example
4.5 Conclusions
5 Conclusions and perspectives 
Appendix A Descriptor systems 
Appendix B Linear Matrix Inequalities 
Appendix C Technical results in tracking controllers and discrete-time systems 
References