J4 ›› 2011, Vol. 46 ›› Issue (6): 90-98.

• Articles • Previous Articles     Next Articles

On designing H fault estimator for switched Lur′e
systems with time-varying delay

YUAN Shuai1,  LIU Xinzhi1, 2*   

  1. 1. School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, China;
    2. Department of Applied Mathematics, University of Waterloo, Waterloo N2L 3G1, Canada
  • Received:2011-01-28 Online:2011-06-16 Published:2011-12-19


The problem of fault estimation for a class of switched nonlinear systems with timevarying delay is studied. The nonlinearity satisfies certain sector condition. By employing a switched observer-based fault estimator, the problem is formulated as an H∞ filtering problem. Some delaydependent sufficient conditions are derived to ensure both the absolute stability and a prescribed L2-gain bound of an augmented system from the original system and a fault estimation error system. Also, the parameter matrices of the fault estimator are obtained based on the cone complementarity algorithm. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.

Key words: switched system; fault estimation; time-varying delay; H filtering

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