结构不确定离散系统的最优非脆弱保成本控制

讨论了一类不确定线性离散系统的最优非脆弱保成本控制问题.考虑的系统和状态反馈控制器均具有时变的结构化的不确定性.基于线性矩阵不等式的方法,给出了存在和设计非脆弱保成本控制律的一个充分条件,以及在使二次成本函数上界最小意义下,最优非脆弱保成本控制律的凸优化设计方法.并用数值例子说明该方法降低了成本函数上界的保守性.

Optimal non-fragile guaranteed cost control for linear discrete-time systems with structured uncertainty

The problem of the optimal non-fragile guaranteed cost control for uncertain linear discrete-time systems is considered. Both the system and the state feedback controller under consideration are assumed to have the time - varying structured uncertainties. Based on the linear matrix inequality technology, a sufficient condition is established to guarantee the existence of the desired non - fragile controllers and can be used to design such controllers. Two convex optimization algorithms are also proposed to select the optimal non - fragile controller in the sense of minimizing the upper bound of the quadratic performance index. A numerical example is given to show that the conservation of the upper bound is reduced by using the developed approach.