Finite-Time Control for Markovian Jump Systems with Polytopic Uncertain Transition Description and Actuator Saturation
The problem of finite-time L2-L∞ control for Markovian jump systems (MJS) is investigated. The systems considered time-varying delays, actuator saturation, and polytopic uncertain transition description. The purpose of this paper is to design a state feedback controller such that the system is fini...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/314812 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832548689035395072 |
|---|---|
| author | Zhongyi Tang |
| author_facet | Zhongyi Tang |
| author_sort | Zhongyi Tang |
| collection | DOAJ |
| description | The problem of finite-time L2-L∞ control for Markovian jump systems (MJS) is investigated. The systems considered time-varying delays, actuator saturation, and polytopic uncertain transition description. The purpose of this paper is to design a state feedback controller such that the system is finite-time bounded (FTB) and a prescribed L2-L∞ disturbance attenuation level during a specified time interval is guaranteed. Based on the Lyapunov method, a linear matrix inequality (LMI) optimization problem is formulated to design the delayed feedback controller which satisfies the given attenuation level. Finally, illustrative examples show that the proposed conditions are effective for the design of robust state feedback controller. |
| format | Article |
| id | doaj-art-8f03dbae0d9748d0aa03fd1ff7bbb3bc |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8f03dbae0d9748d0aa03fd1ff7bbb3bc2025-02-03T06:13:26ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/314812314812Finite-Time Control for Markovian Jump Systems with Polytopic Uncertain Transition Description and Actuator SaturationZhongyi Tang0Institute of Automation, Jiangnan University, Wuxi 214122, ChinaThe problem of finite-time L2-L∞ control for Markovian jump systems (MJS) is investigated. The systems considered time-varying delays, actuator saturation, and polytopic uncertain transition description. The purpose of this paper is to design a state feedback controller such that the system is finite-time bounded (FTB) and a prescribed L2-L∞ disturbance attenuation level during a specified time interval is guaranteed. Based on the Lyapunov method, a linear matrix inequality (LMI) optimization problem is formulated to design the delayed feedback controller which satisfies the given attenuation level. Finally, illustrative examples show that the proposed conditions are effective for the design of robust state feedback controller.http://dx.doi.org/10.1155/2014/314812 |
| spellingShingle | Zhongyi Tang Finite-Time Control for Markovian Jump Systems with Polytopic Uncertain Transition Description and Actuator Saturation Abstract and Applied Analysis |
| title | Finite-Time Control for Markovian Jump Systems with Polytopic Uncertain Transition Description and Actuator Saturation |
| title_full | Finite-Time Control for Markovian Jump Systems with Polytopic Uncertain Transition Description and Actuator Saturation |
| title_fullStr | Finite-Time Control for Markovian Jump Systems with Polytopic Uncertain Transition Description and Actuator Saturation |
| title_full_unstemmed | Finite-Time Control for Markovian Jump Systems with Polytopic Uncertain Transition Description and Actuator Saturation |
| title_short | Finite-Time Control for Markovian Jump Systems with Polytopic Uncertain Transition Description and Actuator Saturation |
| title_sort | finite time control for markovian jump systems with polytopic uncertain transition description and actuator saturation |
| url | http://dx.doi.org/10.1155/2014/314812 |
| work_keys_str_mv | AT zhongyitang finitetimecontrolformarkovianjumpsystemswithpolytopicuncertaintransitiondescriptionandactuatorsaturation |