带有状态和输入时滞的不确定广义系统的鲁棒预测控制

Robust predictive control of uncertain singular systems with both state and input delays

针对一类同时具有状态和输入时滞的不确定广义系统,研究其鲁棒预测控制问题,给出了鲁棒预测控制器的综合方法.运用Lyapunov稳定性理论和线性矩阵不等式方法,近似求解无穷时域二次性能指标优化问题,从而得到鲁棒预测控制器存在的充分条件和显式表达式.证明了优化问题在初始时刻的可行解,可以保证广义闭环时滞系统是渐近稳定且正则无脉冲的.仿真算例验证了所提出方法的有效性.

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.