Discrete Dynamics in Nature and Society (Jan 2019)

Observer-Based Sliding Mode Control for Stochastic Nonlinear Markovian Jump Systems

  • Xiaohan Yin,
  • Quanxin Zhu

DOI
https://doi.org/10.1155/2019/5036917
Journal volume & issue
Vol. 2019

Abstract

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We consider a class of stochastic nonlinear Markovian jump systems (MJSs) with partly unknown transition rate and time-varying delays. The system under consideration is subject to the mode uncertainties and nonlinear term and disturbance term which are unknown. The main mission is to design the observer-based sliding mode controller for such a complex system. An observer is first constructed, and then we design an integral sliding mode surface such that the MJSs satisfy the reaching condition. The sliding mode control law ensures the stochastic stability of the closed-loop system. Finally, an example is given to illustrate the proposed results.