Journal of Northeastern University ›› 2008, Vol. 29 ›› Issue (6): 773-776.DOI: -

• OriginalPaper • Previous Articles     Next Articles

Sliding mode control for a class of uncertain hybrid systems with Markov jumping parameters

He, You-Guo (1); Jing, Yuan-Wei (1); Jiang, Nan (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-22 Revised:2013-06-22 Online:2008-06-15 Published:2013-06-22
  • Contact: He, Y.-G.
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Abstract: For a class of uncertain hybrid systems with Markov jumping parameters, the sliding mode controller is designed on the basis of sliding mode control theory. On the assumptions that the system uncertainties are matched and also mismatched, the sufficient conditions are proposed respectively via LMIs (linear matrix inequalities) to guarantee the mean exponential stability of reduced-order sliding mode system. Corresponding to the two different system uncertainties, the sliding mode control strategy is designed, which is proved able to guarantee that the system trajectory reach the sliding surface in a finite time interval and keep up here thereafter. Simulation results demonstrate that the proposed controllers have good stability and robustness for uncertain hybrid linear Markov jumping systems.

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