Journal of South China University of Technology (Natural Science Edition) ›› 2007, Vol. 35 ›› Issue (9): 50-54.

• Electronics, Communication & Automation Technology • Previous Articles     Next Articles

Output-Feedback Variable-Structure Sliding-Mode Control of Stochastic System with Uncertainties

Peng Yun-jian  Deng Fei-qi   

  1. School of Automation Science and Engineering , South China Univ. of Tech. , Guangzhou 510640 , Guangdong , China)
  • Received:2006-11-16 Online:2007-09-25 Published:2007-09-25
  • Contact: 彭云建(1974-)，男，博士，主要从事随机非线性控制理论及其在电力系统中的应用研究. E-mail:pengyunjian@sina. com
  • About author:彭云建(1974-)，男，博士，主要从事随机非线性控制理论及其在电力系统中的应用研究.
  • Supported by:

    国家自然科学基金资助项目(60374023 )

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Abstract:

The paper aims at the problem of output-feedback-based stabilizing control of an Itô's stochastic system with time-varying uncertainties , and at the design of a robust stabilization controller mainly adopting variable-structure sliding-mode control (SMC) techniques. By presupposing the system uncertainties satisfying certain matching conditions , a sliding-mode switching manifold and a SMC law are proposed , which are invariable to the structural uncertainties and possess the parameters without stochastic noise. Then , the accessibility of the sliding mode and the stability of the closed-loop system are analyzed , and some necessary conditions are further obtained to select the parameters for the SMC law. By the simulation of an illustrative example system , the correctness and effectiveness of the proposed controlling scheme are finally verified.

Key words: Itô's stochastic system, output feedback, variable-structure sliding-mode control, sliding-mode switching manifold