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Stabilisation of Markov jump systems under noisy sampling interval: A mode-holding-based sliding mode approach.

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Title: Stabilisation of Markov jump systems under noisy sampling interval: A mode-holding-based sliding mode approach.
Authors: Xu, Tianshu1,2 (AUTHOR) tsh_xu523@163.com, Niu, Yugang1,2 (AUTHOR) acniuyg@ecust.edu.cn, Xia, Jianwei1 (AUTHOR)
Source: Journal of the Franklin Institute. Jan2026, Vol. 363 Issue 2, pN.PAG-N.PAG. 1p.
Subjects: Markovian jump linear systems, Sliding mode control, Sampling errors, Stability theory, Particle swarm optimization, Robust control
Abstract: This paper is concerned with the sampled-data sliding mode control problem for a class of Markov jump systems, in which the sampling interval is susceptible to noise perturbation and the resulting sampling error is described by the categorical distribution. Different from the existing design of mode-synchronous/asynchronous controller within sampled-data case, a mode-holding-based control design method is well developed, that is, the controller mode is updated only at the instant of the sampled-state transmission, which is conducive to directly capture the affect of sampling behavior on mode observation. The sufficient conditions are derived to simultaneously guarantee the reachability of the sliding surface and the mean-square exponential ultimate boundedness of closed-loop systems. Meanwhile, the particle swarm optimization algorithm is used to solve the optimization problem aiming to enhance the closed-loop performance. Finally, a numerical example and an example of vertical take-off and landing helicopter model are given to verify the effectiveness of the proposed control method. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:This paper is concerned with the sampled-data sliding mode control problem for a class of Markov jump systems, in which the sampling interval is susceptible to noise perturbation and the resulting sampling error is described by the categorical distribution. Different from the existing design of mode-synchronous/asynchronous controller within sampled-data case, a mode-holding-based control design method is well developed, that is, the controller mode is updated only at the instant of the sampled-state transmission, which is conducive to directly capture the affect of sampling behavior on mode observation. The sufficient conditions are derived to simultaneously guarantee the reachability of the sliding surface and the mean-square exponential ultimate boundedness of closed-loop systems. Meanwhile, the particle swarm optimization algorithm is used to solve the optimization problem aiming to enhance the closed-loop performance. Finally, a numerical example and an example of vertical take-off and landing helicopter model are given to verify the effectiveness of the proposed control method. [ABSTRACT FROM AUTHOR]
ISSN:00160032
DOI:10.1016/j.jfranklin.2025.108335