Sliding Mode Control for Nonlinear Stochastic Singular Semi-Markov Jump Systems
This paper deals with the problem of sliding mode control design for nonlinear stochastic singular semi-Markov jump systems (S-MJSs). Stochastic disturbance is first considered in studying S-MJSs with a stochastic semi-Markov process related to Weibull distribution. The specific information includin...
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| Published in | IEEE transactions on automatic control Vol. 65; no. 1; pp. 361 - 368 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
New York
IEEE
01.01.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subjects | |
| Online Access | Get full text |
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| Abstract | This paper deals with the problem of sliding mode control design for nonlinear stochastic singular semi-Markov jump systems (S-MJSs). Stochastic disturbance is first considered in studying S-MJSs with a stochastic semi-Markov process related to Weibull distribution. The specific information including the bound of nonlinearity is known for the control design. Our attention is to design sliding mode control law to attenuate the influences of uncertainty and nonlinear term. First, by the use of the Lyapunov function, a set of sufficient conditions are developed such that the closed-loop sliding mode dynamics are stochastically admissible. Then, the sliding mode control law is proposed to ensure the reachability in a finite-time region. Finally, the practical system about dc motor model is given to verify the validity of the proposed method. |
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| AbstractList | This paper deals with the problem of sliding mode control design for nonlinear stochastic singular semi-Markov jump systems (S-MJSs). Stochastic disturbance is first considered in studying S-MJSs with a stochastic semi-Markov process related to Weibull distribution. The specific information including the bound of nonlinearity is known for the control design. Our attention is to design sliding mode control law to attenuate the influences of uncertainty and nonlinear term. First, by the use of the Lyapunov function, a set of sufficient conditions are developed such that the closed-loop sliding mode dynamics are stochastically admissible. Then, the sliding mode control law is proposed to ensure the reachability in a finite-time region. Finally, the practical system about dc motor model is given to verify the validity of the proposed method. |
| Author | Zong, Guangdeng Qi, Wenhai Karimi, Hamid Reza |
| Author_xml | – sequence: 1 givenname: Wenhai orcidid: 0000-0002-9065-0802 surname: Qi fullname: Qi, Wenhai email: qiwhtanedu@163.com organization: School of Engineering, Qufu Normal University, Rizhao, China – sequence: 2 givenname: Guangdeng orcidid: 0000-0001-6498-5580 surname: Zong fullname: Zong, Guangdeng email: lovelyletian@gmail.com organization: School of Engineering, Qufu Normal University, Rizhao, China – sequence: 3 givenname: Hamid Reza orcidid: 0000-0001-7629-3266 surname: Karimi fullname: Karimi, Hamid Reza email: hamidreza.karimi@polimi.it organization: Department of Mechanical Engineering, Politecnico di Milan, Milan, Italy |
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| SubjectTerms | Control theory D C motors Liapunov functions Markov analysis Markov processes Nonlinear control Nonlinearity Probability distribution Semi-Markov jump systems (S-MJSs) Sliding mode control stochastic disturbance Switches Symmetric matrices Weibull distribution |
| Title | Sliding Mode Control for Nonlinear Stochastic Singular Semi-Markov Jump Systems |
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