Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (3): 653-656,709.

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Sliding mode dissipative control for uncertain jumping nonlinear systems

TANG Zhong-yi1,2, LIU Fei1   

  1. 1. Inst. of Automation, Jiangnan Univ., Wuxi 214122, China;
    2. Inst. of Automation, Huaiyin Inst. of Technology, Huaian 223003, China
  • Received:2007-10-31 Revised:2008-04-17 Online:2009-03-20 Published:2010-01-03

Abstract: The different sliding mode surface dissipative control problems are discussed for a class of Markov jump nonlinear systems with uncertainties.The systems involve both time-evolving and event-driven mechanisms.In terms of sliding mode theory,different sliding mode surfaces and controllers are designed for the matched uncertainties.Dissipative control theory and linear matrix inequality are applied to sliding mode surface with nonlinear and unmatched uncertainties.Thereafter,the memoryless state feedback controllers are given.Finally,a sliding mode dissipative controllers are gained.A numerical example demonstrates the effect of the proposed design approach.

CLC Number: 

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