Abstract:The non-fragile decentralized
H∞ control problem for singular large-scale systems is considered, the controller’s
perturbations are value bounded. Based on the bounded real lemma of singular systems and by using the linear matrix
inequality(LMI) approach, the sufficient existence conditions and design approaches are presented for the corresponding
non-fragile decentralized ??∞ controllers, the non-fragile decentralized
H∞ and guaranteed cost controllers, respectively.
Finally, a numerical example is given to show the effectiveness of the proposed approach.