不确定离散广义系统的鲁棒无源控制

Robust Passive Control for Discrete Singular Systems with Uncertain Parameters

将严格无源的概念引入到离散广义系统中 ,研究了具有未知定常不确定参数的离散广义系统在有界外部输入作用下的鲁棒无源控制问题 ;利用线性矩阵不等式 ,给出了不确定离散广义系统广义二次稳定且从外部输入到被调输出之间是严格无源的 ,并在此基础上给出存在状态反馈控制器 ,使得闭环系统广义二次稳定且从外部输入到被调输出之间是严格无源 ,同时给出相应的依赖于矩阵不等式的解的控制器构造 ;数值算例说明了结论的有效性。

The notion of strictly passive is proposed for discrete singular systems. In this paper the robust passive control for discrete singular systems with uncertain parameters under bounded energy exogenous inputs is studied. By means of linear matrix inequalities, a sufficient condition is given for uncertain discrete singular system to be generalized quadratically stable and strictly passive. On this basis, a sufficient condition is given for the existence of state feedback controller, such a that the resulting closed-loop system is both generalized quadratically stable and strictly passive for all the admissible uncertainties. Moreover, the design method of such a astate feedback controller is presented in terms of solutions of matrix inequalities. An example proves the effectiveness of the conclusion in this paper.