Non-fragile robust decentralized controller design for uncertain singular large-scale systems

This note discusses the non-fragile robust decentralized controller design 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 non-fragile robust decentralized controller are obtained with additive gain perturbations and multiplicative gain perturbations by linear matrix inequality (LMI) approach, respectively. It is a set of linear matrix inequalities (LMIs) and the feasible solutions to the corresponding matrix inequalities provide a parameterized representation of a set of non-fragile robust decentralized robust controller. Finally, an illustrative example is given to show the feasibility and effectiveness of the proposed approach.