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Analysis and Synthesis of Positive Systems Under l1 and L1 Performance [electronic resource] / by Xiaoming Chen.

By: Contributor(s): Material type: TextSeries: Springer Theses, Recognizing Outstanding Ph.D. ResearchPublisher: Singapore : Springer Singapore : Imprint: Springer, 2017Description: XIX, 116 p. 37 illus. in color. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9789811022272
Subject(s): Additional physical formats: Printed edition:: No titleDDC classification:
  • 629.8 23
Online resources:
Contents:
Introduction -- l1-induced Controller Design for Positive Systems -- L1-induced Output-Feedback Controller Synthesis for Interval Positive Systems -- Positive State-Bounding Observer for Interval Positive Systems -- Positive Filtering for Positive Systems under L1 Performance -- Controller and Filter Syntheses for Positive Takagi-Sugeno Fuzzy Systems under l1 Performance -- Conclusions and Future Work.
In: Springer eBooksSummary: 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 discrete and continuous positive systems. It subsequently derives computationally efficient solutions based on linear programming in terms of matrix inequalities, as well as a number of analytical solutions obtained for special cases. The thesis applies a range of novel approaches and fundamental techniques to the further study of positive systems, thus contributing significantly to the theory of positive systems, a "hot topic" in the field of control. .
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Introduction -- l1-induced Controller Design for Positive Systems -- L1-induced Output-Feedback Controller Synthesis for Interval Positive Systems -- Positive State-Bounding Observer for Interval Positive Systems -- Positive Filtering for Positive Systems under L1 Performance -- Controller and Filter Syntheses for Positive Takagi-Sugeno Fuzzy Systems under l1 Performance -- Conclusions and Future Work.

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 discrete and continuous positive systems. It subsequently derives computationally efficient solutions based on linear programming in terms of matrix inequalities, as well as a number of analytical solutions obtained for special cases. The thesis applies a range of novel approaches and fundamental techniques to the further study of positive systems, thus contributing significantly to the theory of positive systems, a "hot topic" in the field of control. .