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Fast smooth second-order sliding mode control for stochastic systems with enumerable coloured noises

Author

Listed:
  • Peng-fei Yang
  • Yang-wang Fang
  • You-li Wu
  • Dan-xu Zhang
  • Yang Xu

Abstract

A fast smooth second-order sliding mode control is presented for a class of stochastic systems driven by enumerable Ornstein–Uhlenbeck coloured noises with time-varying coefficients. Instead of treating the noise as bounded disturbance, the stochastic control techniques are incorporated into the design of the control. The finite-time mean-square practical stability and finite-time mean-square practical reachability are first introduced. Then the prescribed sliding variable dynamic is presented. The sufficient condition guaranteeing its finite-time convergence is given and proved using stochastic Lyapunov-like techniques. The proposed sliding mode controller is applied to a second-order nonlinear stochastic system. Simulation results are given comparing with smooth second-order sliding mode control to validate the analysis.

Suggested Citation

  • Peng-fei Yang & Yang-wang Fang & You-li Wu & Dan-xu Zhang & Yang Xu, 2018. "Fast smooth second-order sliding mode control for stochastic systems with enumerable coloured noises," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(2), pages 312-323, January.
    • Handle: RePEc:taf:tsysxx:v:49:y:2018:i:2:p:312-323
    DOI: 10.1080/00207721.2017.1410249
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