Analysis and synthesis of positive systems under ℓ1 and L1 performance

This thesis introduces novel and significant results regarding the analysis and synthesis of positive systems, especially under l1 and L1 performance. It describes stability analysis, controller synthesis, and bounding positivity-preserving observer and filtering design for a variety of both discret...

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Bibliographic Details
Main Author Chen, Xiaoming (Author)
Format Electronic eBook
LanguageEnglish
Published Singapore : Springer, [2016]
SeriesSpringer theses.
Subjects
Positive systems.
elektronické knihy
electronic books
Online AccessFull text
ISBN9789811022272
9789811022265
Physical Description1 online resource (xix, 116 pages : color illustrations)

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Table of Contents:
  • 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.

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