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.