Observer-Based Finite-Time H∞ Control of Singular Markovian Jump Systems
This paper addresses the problem of finite-time H∞ control via observer-based state feedback for a family of singular Markovian jump systems (SMJSs) with time-varying norm-bounded disturbance. Firstly, the concepts of singular stochastic finite-time boundedness and singular stochastic finite-time H∞...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/205727 |
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| _version_ | 1832564467151405056 |
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| author | Yingqi Zhang Wei Cheng Xiaowu Mu Xiulan Guo |
| author_facet | Yingqi Zhang Wei Cheng Xiaowu Mu Xiulan Guo |
| author_sort | Yingqi Zhang |
| collection | DOAJ |
| description | This paper addresses the problem of finite-time H∞ control via observer-based state feedback for a family of
singular Markovian jump systems (SMJSs) with time-varying norm-bounded disturbance. Firstly, the concepts of
singular stochastic finite-time boundedness and singular stochastic finite-time H∞ stabilization via observer-based
state feedback are given. Then an observer-based state feedback controller is designed to ensure singular stochastic
finite-time H∞ stabilization via observer-based state feedback of the resulting closed-loop error dynamic SMJS.
Sufficient criteria are presented for the solvability of the problem, which can be reduced to a feasibility problem
involving linear matrix inequalities with a fixed parameter. As an auxiliary result, we also discuss the problem
of finite-time stabilization via observer-based state feedback of a class of SMJSs and give sufficient conditions of
singular stochastic finite-time stabilization via observer-based state feedback for the class of SMJSs. Finally, illustrative
examples are given to demonstrate the validity of the proposed techniques. |
| format | Article |
| id | doaj-art-4da77c266df74b119b9dcf44ca07aacc |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-4da77c266df74b119b9dcf44ca07aacc2025-02-03T01:10:55ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/205727205727Observer-Based Finite-Time H∞ Control of Singular Markovian Jump SystemsYingqi Zhang0Wei Cheng1Xiaowu Mu2Xiulan Guo3College of Science, Henan University of Technology, Zhengzhou 450001, ChinaCollege of Science, Henan University of Technology, Zhengzhou 450001, ChinaDepartment of Mathematics, Zhengzhou University, Zhengzhou 450001, ChinaCollege of Science, Henan University of Technology, Zhengzhou 450001, ChinaThis paper addresses the problem of finite-time H∞ control via observer-based state feedback for a family of singular Markovian jump systems (SMJSs) with time-varying norm-bounded disturbance. Firstly, the concepts of singular stochastic finite-time boundedness and singular stochastic finite-time H∞ stabilization via observer-based state feedback are given. Then an observer-based state feedback controller is designed to ensure singular stochastic finite-time H∞ stabilization via observer-based state feedback of the resulting closed-loop error dynamic SMJS. Sufficient criteria are presented for the solvability of the problem, which can be reduced to a feasibility problem involving linear matrix inequalities with a fixed parameter. As an auxiliary result, we also discuss the problem of finite-time stabilization via observer-based state feedback of a class of SMJSs and give sufficient conditions of singular stochastic finite-time stabilization via observer-based state feedback for the class of SMJSs. Finally, illustrative examples are given to demonstrate the validity of the proposed techniques.http://dx.doi.org/10.1155/2012/205727 |
| spellingShingle | Yingqi Zhang Wei Cheng Xiaowu Mu Xiulan Guo Observer-Based Finite-Time H∞ Control of Singular Markovian Jump Systems Journal of Applied Mathematics |
| title | Observer-Based Finite-Time H∞ Control of Singular Markovian Jump Systems |
| title_full | Observer-Based Finite-Time H∞ Control of Singular Markovian Jump Systems |
| title_fullStr | Observer-Based Finite-Time H∞ Control of Singular Markovian Jump Systems |
| title_full_unstemmed | Observer-Based Finite-Time H∞ Control of Singular Markovian Jump Systems |
| title_short | Observer-Based Finite-Time H∞ Control of Singular Markovian Jump Systems |
| title_sort | observer based finite time h∞ control of singular markovian jump systems |
| url | http://dx.doi.org/10.1155/2012/205727 |
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