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 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…
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- Full title :Analysis and Synthesis of Positive Systems Under ℓ1 and L1 Performance / by Xiaoming Chen.
Summary
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.
Read More ↓Edition Statements
- Publication Date:2017.
Publication Statements
- Publisher(s):Imprint, Springer, Springer Singapore
- Place of Publication:Singapore
- Language:eng
- Publication Date:2017.
The Physical Object
- Description:1 online resource (XIX, 116 pages 37 illustrations in color.) : : online resource
Edition Identifiers
- ISBN:9789811022272, 9811022275, 9789811022265, 9811022267
- DOI:10.1007/978-981-10-2227-2
- oclc:on1005773372
- LC Classification:QA188
- Dewey Decimal:629.8
Table of 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.
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