Decentralized robust H∞ model predictive control for uncertain singular large-scale systems

The decentralized robust H-infinity and model predictive control problem for interconnected singular large-scale systems with uncertainty in states and control matrices is considered. Based on the bounded real lemma of singular systems, a sufficient condition for the existence of decentralized robust H-infinity and model predictive controller for uncertain singular large-scale systems is presented in terms of the solvability to a certain system of linear matrix inequalities (LMIs) and the constructed Lyapunov function. The regularity, causality and stability of the resulting closed-loop singular large-scale systems are guaranteed by the initial feasible solutions of the optimization problems, besides, the H-infinity performances index are also hold. Simulation results verify the practicability of the proposed method.