Robust Predictive Control for a Class of Uncertain Singular Time-Delay Systems

In this text, the problem of robust predictive control is investigated for uncertain singular time-delay systems. The design method of robust predictive controller is proposed. By means of Lyapunov function and linear matrix inequality (LMI), the infinite time domain "min-max" optimization problems are converted into convex optimization problems, and the sufficient conditions for the existence of the robust predictive control are derived. The feasibility of the optimization problems guarantees that the closed-loop singular systems are robustly stable, the regular and the impulse-free are also held. A simulation example illustrates the efficiency of this method.