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Regulation Control for Discrete-time Stochastic Nonlinear Active Suspension

Likang Feng, Xiaoyu Zhao, Weihai Zhang*, Jianwei Xia, and Yajuan Liu
International Journal of Control, Automation, and Systems, vol. 20, no. 3, pp.888-896, 2022

Abstract : The regulation problem of discrete-time stochastic nonlinear active suspension is considered in this paper. Firstly, a stability theorem of practically stable in the mean square sense for discrete-time stochastic systems is given. Secondly, the nonlinear active suspension subject to random disturbances modeled by the stochastic difference equation is obtained by the Euler-Maruyama approximation. Thirdly, a state feedback controller is worked out by a discrete backstepping approach such that the states of the discrete-time stochastic nonlinear active suspension can be regulated to a neighbourhood of zero. Finally, the efficiency can be verified by the simulation results.

Keyword : "Backstepping, discrete-time stochastic systems, Euler-Maruyama approximation, nonlinear active suspension. "

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