Resilient H-infinity control for uncertain descriptor systems

The problem of the resilient H-infinity control for descriptor systems with norm-bounded uncertainty is considered.It is shown that the bounded real lemma for the nominal descriptor system can be described by a strict linear matrix inequality.Based on this new bounded real lemma,the sufficient and necessary conditions for the existence of the resilient H-infinity state-feedback controller under the additive perturbation is presented in the form of a strict linear matrix inequality.The explicit expression for the desired controller is also given.Numerical examples are given to demonstrate the effectiveness of the proposed methods.