Robust predictive control of uncertain singular systems with both state and input delays
带有状态和输入时滞的不确定广义系统的鲁棒预测控制

The problem of robust predictive control is investigated for uncertain singular systems with both state and input delays. The design method of robust predictive controller is proposed; the approximate solutions of optimal problems for infinite time interval and with quadratic performance index are calculated by means of Lyapunov stable theory and linear matrix inequalities(LMIs) technique; and the sufficient conditions for the existence of the robust predictive control are given. The feasibility of the optimization problems guarantees that the closed-loop singular time-delay systems are robustly stable, and the regularity and the impulse-free property of singular systems are also held. A simulation example illustrates the efficiency of this method.