Robust H∞ control for delayed systems with randomly varying nonlinearities under uncertain occurrence probability via sliding mode method

Systems Science & Control Engineering

Jun Hu¹  Panpan Zhang¹  Hongxu Zhang¹  Dongyan Chen¹ 

[1] Harbin University of Science and Technology;

关键词: Discrete delayed systems;    stochastic systems;    sliding mode control;    randomly varying no nlinearities;    uncertain occurrence probability;   

DOI  :  10.1080/21642583.2018.1474143

来源: DOAJ

【 摘 要 】

In this paper, we address the problem of robust $ H_{\infty } $ sliding mode control (SMC) for a class of discrete-time stochastic systems with parameter uncertainties, time-varying delay and randomly varying nonlinearities (RVNs) under uncertain occurrence probability. Here, the norm-bounded parameter uncertainties are considered. The time-varying delay is bounded with known upper and lower bounds. In addition, the RVNs are depicted by using a Bernoulli distributed stochastic variable with uncertain occurrence probability. The aim of the paper is to provide an SMC method such that, for all parameter uncertainties, time-varying delay and RVNs, the robust asymptotic stability with a prescribed disturbance attenuation level is guaranteed for the sliding mode dynamics by providing a new sufficient condition. Moreover, the reachability analysis is carried out simultaneously, i.e. the states of the closed-loop system are driven onto a neighborhood of pre-designed sliding surface by synthesizing a robust sliding mode controller. Finally, the usefulness of the aforementioned control technique is verified by a numerical example.

【 授权许可】

Unknown