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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| Main Author: | |
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| Format: | eBook |
| Language: | English |
| Published: |
Singapore :
Springer,
[2016]
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| Series: | Springer theses.
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| Subjects: | |
| ISBN: | 9789811022272 9789811022265 |
| Physical Description: | 1 online resource (xix, 116 pages : color illustrations) |
Cover
Table of contents
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| 008 | 160729t20162017si am ob 000 0 eng d | ||
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| 020 | |a 9789811022272 |q (electronic bk.) | ||
| 020 | |z 9789811022265 |q (print) | ||
| 035 | |a (OCoLC)954214927 | ||
| 100 | 1 | |a Chen, Xiaoming, |e author. | |
| 245 | 1 | 0 | |a Analysis and synthesis of positive systems under ℓ1 and L1 performance / |c Xiaoming Chen. |
| 264 | 1 | |a Singapore : |b Springer, |c [2016] | |
| 264 | 4 | |c ©2017 | |
| 300 | |a 1 online resource (xix, 116 pages : color illustrations) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a počítač |b c |2 rdamedia | ||
| 338 | |a online zdroj |b cr |2 rdacarrier | ||
| 490 | 1 | |a Springer theses | |
| 502 | |b Ph. D. |c University of Hong Kong |d 2014. | ||
| 500 | |a "Doctoral thesis accepted by The University of Hong Kong, Hong Kong." | ||
| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 506 | |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty | ||
| 520 | |a 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. . | ||
| 590 | |a SpringerLink |b Springer Complete eBooks | ||
| 650 | 0 | |a Positive systems. | |
| 655 | 7 | |a elektronické knihy |7 fd186907 |2 czenas | |
| 655 | 9 | |a electronic books |2 eczenas | |
| 776 | 0 | 8 | |i Erscheint auch als: |n Druck-Ausgabe |t Chen, Xiaoming. Analysis and Synthesis of Positive Systems Under ℓ1 and L1 Performance |
| 830 | 0 | |a Springer theses. | |
| 856 | 4 | 0 | |u https://proxy.k.utb.cz/login?url=https://link.springer.com/10.1007/978-981-10-2227-2 |y Plný text |
| 992 | |c NTK-SpringerENG | ||
| 999 | |c 99243 |d 99243 | ||
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