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

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  • Pengfei Yang
  • Yangwang Fang
  • Youli Wu
  • Yunxia Liu
  • Danxu Zhang

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.

Suggested Citation

  • Pengfei Yang & Yangwang Fang & Youli Wu & Yunxia Liu & Danxu Zhang, 2017. "Fast smooth second-order sliding mode control for systems with additive colored noises," PLOS ONE, Public Library of Science, vol. 12(5), pages 1-22, May.
    • Handle: RePEc:plo:pone00:0178455
    DOI: 10.1371/journal.pone.0178455
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