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Sliding Mode Control for Nonlinear Stochastic Singular Semi-Markov Jump Systems.
- Source :
- IEEE Transactions on Automatic Control; Jan2020, Vol. 65 Issue 1, p361-368, 8p
- Publication Year :
- 2020
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- SLIDING mode control
WEIBULL distribution
STOCHASTIC processes
LYAPUNOV functions
Subjects
Details
- Language :
- English
- ISSN :
- 00189286
- Volume :
- 65
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Automatic Control
- Publication Type :
- Periodical
- Accession number :
- 141052561
- Full Text :
- https://doi.org/10.1109/TAC.2019.2915141