Abstract:

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