Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 65, Issue 1, Pages 361-368Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2019.2915141
Keywords
Sliding mode control; Weibull distribution; Switches; Markov processes; Symmetric matrices; Probability distribution; Semi-Markov jump systems (S-MJSs); stochastic disturbance; Weibull distribution
Funding
- National Natural Science Foundation of China [61703231, 61773235, 61773236, 61873331]
- Natural Science Foundation of Shandong [ZR2017QF001, ZR2019YQ29, ZR2017MF063]
- Postdoctoral Science Foundation of China [2017M612235, 2018T110670]
- Taishan Scholar Project of Shandong Province [TSQN20161033]
- Excellent Experiment Project of Qufu Normal University [jp201728]
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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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