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SMC for discrete-time nonlinear semi-Markovian switching systems with partly unknown semi-Markov kernel

Abstract : This paper is devoted to the discrete-time sliding mode control (DSMC) for nonlinear semi-Markovian switching systems (S-MSSs). Motivated by the fact that the complete information of the semi-Markov kernel (SMK) is difficult to be obtained in practical applications, it is recognized to be partly unknown as the most common mean. By utilizing the prior information of the sojourn-time (ST) upper bound for each switching mode, sufficient conditions under the equivalent DSMC law are proposed for the mean square stability. Moreover, the designed DSMC law realizes the finite-time reachability of the sliding region, and makes the sliding dynamics converge to the pre-designated sliding region in a finite time. In the end, a numerical example and an electronic throttle model are given to validate the proposed control strategy.
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https://hal-univ-evry.archives-ouvertes.fr/hal-03664151
Contributor : Frédéric Davesne Connect in order to contact the contributor
Submitted on : Tuesday, May 10, 2022 - 5:55:05 PM
Last modification on : Wednesday, May 11, 2022 - 4:41:09 AM

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Wenhai Qi, Guangdeng Zong, Yakun Hou, Mohammed Chadli. SMC for discrete-time nonlinear semi-Markovian switching systems with partly unknown semi-Markov kernel. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, In press, pp.1-1. ⟨10.1109/TAC.2022.3169584⟩. ⟨hal-03664151⟩

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