Non-fragile observer design for nonlinear switched time delay systems using delta operator

This paper considers the non-fragile observer design method for nonlinear switched time delay systems using the delta operator. Based on multiple Lyapunov function method and delta operator theory, an asymptotic stability criterion for delta operator switched system with time delay and Lipschitz nonlinearity is presented. By using the key technical lemma, a new sampling period and delay dependent design approach to the non-fragile observer is addressed. The proposed non-fragile observer can guarantee the estimated state error dynamics of delta operator time delay switched system can be asymptotically convergent for observer gain perturbations. The solution to the observer is formulated in the form of a set of linear matrix inequalities. A numerical example is employed to verify the proposed method.