Fast smooth second-order sliding mode control for systems with additive colored noises

Pengfei Yang, Yangwang Fang, Youli Wu, Yunxia Liu and Danxu Zhang

PLOS ONE, 2017, vol. 12, issue 5, 1-22

Abstract: In this paper, a fast smooth second-order sliding mode control is presented for a class of stochastic systems with enumerable Ornstein-Uhlenbeck colored noises. The finite-time mean-square practical stability and finite-time mean-square practical reachability are first introduced. Instead of treating the noise as bounded disturbance, the stochastic control techniques are incorporated into the design of the controller. The finite-time convergence of the prescribed sliding variable dynamics system is proved by using stochastic Lyapunov-like techniques. Then the proposed sliding mode controller is applied to a second-order nonlinear stochastic system. Simulation results are presented comparing with smooth second-order sliding mode control to validate the analysis.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0178455

DOI: 10.1371/journal.pone.0178455

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