Decentralized robust H∞ model predictive control of discrete-time singular large-scale systems

The paper is concerned with decentralized robust H∞ model predictive control for a class of discrete-time singular large-scale systems with external disturbance and input constraints. A synthesis method to design decentralized robust H∞ model predictive controller is proposed based on H∞ performance. By applying the Lyapunov stable theory and linear matrix inequalities(LMI) technique, the sufficient condition for the existence of the decentralized robust H∞ model predictive controller is given. On the basis of the proposed decentralized robust model predictive control approach, it can be proved that the closed-loop discrete-time singular large-scale system is stable, regular and causal. Finally, a numerical simulation is given to illustrate the proposed method.