Analysis and synthesis of positive systems under ℓ1 and L1 performance / Xiaoming Chen.

Supervisor's Foreword; Parts of this thesis have been published in the following articles:; Acknowledgments; Contents; Acronyms; Symbols; List of Figures; 1 Introduction; 1.1 Background; 1.2 Research Problems; 1.3 Literature Review; 1.3.1 Positive Systems; 1.3.2 Fuzzy Positive Systems; 1.4 Mathematical Preliminaries; 1.4.1 Definitions and Lemmas on Positive Linear Systems; 1.4.2 Definitions on Fuzzy Positive Systems; 1.4.3 ell1 and L1 Performance; 1.5 Thesis Outline; 1.6 Contributions; References; 2 ell1-Induced Controller Design for Positive Systems; 2.1 Problem Formulation and Preliminaries

2.2 Performance Analysis2.2.1 Exact Computation of ell1-Induced Norm; 2.2.2 Novel ell1-Induced Performance Characterization; 2.3 Controller Synthesis and Algorithm; 2.4 Analytical Method for Special Case; 2.5 Numerical Example; 2.6 Summary; References; 3 L1-Induced Output-Feedback Controller Synthesis for Interval Positive Systems; 3.1 Performance Analysis; 3.2 Static Output-Feedback Controller Design; 3.3 Special Case: C=I; 3.3.1 Controller Synthesis for SIMO Systems; 3.3.2 Controller Synthesis for MIMO Systems; 3.3.3 Sparse Controller Synthesis; 3.4 Dynamic Output-Feedback Controller Design

3.5 Numerical Examples3.6 Summary; References; 4 Positive State-Bounding Observer for Interval Positive Systems; 4.1 Problem Formulation; 4.2 Observer Design for Positive Systems; 4.3 Numerical Example; 4.4 Summary; Reference; 5 Positive Filtering for Positive Systems Under L1 Performance; 5.1 Problem Formulation; 5.2 Filter Design for Positive Systems; 5.3 Numerical Example; 5.4 Summary; Reference; 6 Controller and Filter Syntheses for Positive Takagi
Sugeno Fuzzy Systems Under ell1 Performance; 6.1 Performance Analysis; 6.2 Controller Synthesis for Positive Fuzzy Systems

6.3 Filter Synthesis for Positive Fuzzy Systems6.4 Numerical Examples; 6.5 Summary; References; 7 Conclusions and Future Work; 7.1 Conclusions; 7.2 Future Work; Reference