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

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.

SUBMITTER: Yang P

PROVIDER: S-EPMC5451072 | biostudies-literature | 2017

REPOSITORIES: biostudies-literature

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

Yang Pengfei P Fang Yangwang Y Wu Youli Y Liu Yunxia Y Zhang Danxu D

PloS one 20170531 5

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 ...[more]

PMID: 28562639

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