Memory feedback controller design for stochastic Markov jump distributed delay systems with input saturation and partially known transition rates
This paper considers the problem of stabilization for a class of stochastic Markov jump distributed delay systems with partially known transition rates subject to saturating actuators. By employing local sector conditions and an appropriate Lyapunov function, a state memory feedback controller is de...
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| Published in | Nonlinear analysis. Hybrid systems Vol. 15; pp. 52 - 62 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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Elsevier Ltd
01.02.2015
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| Abstract | This paper considers the problem of stabilization for a class of stochastic Markov jump distributed delay systems with partially known transition rates subject to saturating actuators. By employing local sector conditions and an appropriate Lyapunov function, a state memory feedback controller is designed to guarantee that the resulted closed-loop constrained systems are mean-square stochastic asymptotically stable. Some sufficient conditions for the solution to this problem are derived in terms of linear matrix inequalities. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method. |
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| AbstractList | This paper considers the problem of stabilization for a class of stochastic Markov jump distributed delay systems with partially known transition rates subject to saturating actuators. By employing local sector conditions and an appropriate Lyapunov function, a state memory feedback controller is designed to guarantee that the resulted closed-loop constrained systems are mean-square stochastic asymptotically stable. Some sufficient conditions for the solution to this problem are derived in terms of linear matrix inequalities. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method. |
| Author | Zhao, Junjie Shen, Hao Park, Ju H. Wang, Jing |
| Author_xml | – sequence: 1 givenname: Junjie surname: Zhao fullname: Zhao, Junjie email: junjiezhao1986@sina.com organization: School of Electrical and Information Engineering, Jiangsu University of Technology, Changzhou, Jiangsu 213001, China – sequence: 2 givenname: Jing surname: Wang fullname: Wang, Jing email: jingwang08@126.com organization: School of Electrical and Information Engineering, Anhui University of Technology, Ma’anshan 243002, China – sequence: 3 givenname: Ju H. orcidid: 0000-0002-0218-2333 surname: Park fullname: Park, Ju H. email: jessie@ynu.ac.kr organization: Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 712-749, Republic of Korea – sequence: 4 givenname: Hao surname: Shen fullname: Shen, Hao email: haoshen10@gmail.com organization: School of Electrical and Information Engineering, Anhui University of Technology, Ma’anshan 243002, China |
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| Keywords | State memory feedback Input saturation Stochastic Markov jump systems Partially known transition rates |
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| SubjectTerms | Asymptotic properties Control systems Control theory Delay Feedback Input saturation Markov processes Mathematical models Partially known transition rates State memory feedback Stochastic Markov jump systems Stochasticity |
| Title | Memory feedback controller design for stochastic Markov jump distributed delay systems with input saturation and partially known transition rates |
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