期刊
IEEE TRANSACTIONS ON CYBERNETICS
卷 50, 期 9, 页码 4020-4030出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2019.2919299
关键词
Hidden Markov models; Markov processes; Uncertainty; Fuzzy systems; Sliding mode control; Trajectory; Dissipativity-based asynchronous fuzzy integral SMC (AFISMC); hidden Markov model (HMM); Takagi-Sugeno (T-S) fuzzy Markov jump systems
类别
资金
- Fundamental Research Funds for the Central Universities [2018FZA5009]
- National Natural Science Foundation of China [61751202, 61751205, 61572540, U1813203, U1801262]
This paper investigates the problem of dissipativity-based asynchronous fuzzy integral sliding mode control (AFISMC) for nonlinear Markov jump systems represented by Takagi-Sugeno (T-S) models, which are subject to external noise and matched uncertainties. Since modes of original systems cannot be directly obtained, the hidden Markov model is employed to detect mode information. With the detected mode and the parallel distributed compensation approach, a suitable fuzzy integral sliding surface is devised. Then using Lyapunov function, a sufficient condition for the existence of sliding mode controller gains is developed, which can also ensure the stochastic stability of the sliding mode dynamics with a satisfactory dissipative performance. An AFISMC law is proposed to drive system trajectories into the predetermined sliding mode boundary layer in finite time. For the case with unknown bound of uncertainties, an adaptive AFISMC law is developed as well. The studied T-S fuzzy Markov jump systems involve both continuous-time and discrete-time domains. Finally, some simulation results are presented to demonstrate the applicability and effectiveness of the proposed approaches.
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