Decentralized non-fragile robust H∞ and guaranteed cost control for uncertain singular large-scale systems

This note discusses the decentralized non-fragile robust H and guaranteed cost control problem for uncertain singular large-scale systems. The parameter uncertainties are value bounded and dissatisfied with the matching conditions. Sufficient conditions for the existence of the decentralized non-fragile robust H-infinity and guaranteed cost controller are obtained with additive gain perturbations and multiplicative gain perturbations by linear matrix inequality (LMI) approach, respectively. The feasible solutions to the corresponding LMIs provide a parameterized representation of a set of decentralized non-fragile robust H-infinity and guaranteed cost controller. Finally, an illustrative example is given to show the feasibility and effectiveness of the proposed approach.