一类不确定时滞广义系统的保性能控制

Guaranteed Cost Control for A Class of Uncertain Descriptor Systems With State Delay

针对一类具有状态时滞的不确定广义系统考虑其保性能控制问题。利用Lyapunov稳定性理论,采用线性矩阵不等式处理方法,提出了静态输出反馈情况下的保性能鲁棒控制器的存在条件和设计方法,保证了对所有允许的不确定性,闭环系统是稳定的,而且给出相应情况下的性能指标上界。最后举例说明该方法的正确性。

The static output feedback for a class of uncertain descriptor systems with state delay is studied in this paper, By using the linear matrix inequality approach a sufficient condition for the existence of the feedback controller is obtained.