不确定广义系统的保性能控制：LMI方法

Guaranteed cost control of uncertain descriptor systems: an LMI approach

针对一类含有时变、范数有界参数不确定广义系统,结合一个二次型性能指标,研究了使闭环系统保持正则、稳定和无脉冲,且闭环性能指标值不超过某个确定界的保性能控制律的设计问题,通过矩阵不等式给出了保性能控制律存在的一个充分条件,进而用线性矩阵不等式给出了保性能控制器的一个参数化表示。

The problem of guaranteed cost control was dealt with for a class of uncertain descriptor systems, whose class is with parameter uncertainties and norm-bounded. The purpose of the problem was to design a state feedback controller such that, for all admissible uncertainties, the closed-loop descriptor systems keep regular, impulse-free and stable. At the same time an adequate level of a quadratic cost index can be guaranteed. A sufficient condition for the existence of guaranteed cost controllers was derived. It was shown that a group of linear matrix inequalities provided a parameterized representation of guaranteed const controllers.