时变不确定广义系统的鲁棒无源控制

Robust passive control for singular systems with time-varying uncertainties

中文关键词  不确定广义系统  广义二次稳定  无源控制  线性矩阵不等式

英文关键词  uncertain singular system  generalized quadratic stability  passive control  linear matrix inequality(LMI)

中文摘要

      研究了除E外其余系数矩阵均含有范数有界时变不确定性的广义系统的鲁棒无源控制器设计问题.利用线性矩阵不等式方法,首先给出自治系统广义二次稳定且无源的充分条件;然后给出状态反馈鲁棒无源控制器的存在条件并用线性矩阵不等式的解构造了相应的控制器;随后以矩阵不等式的形式得到了动态输出反馈鲁棒无源控制器的存在条件,同时利用矩阵不等式的解给出相应控制器的设计方法;最后举例说明了所提出方法的可行性.

英文摘要

      The problem of designing robust passive controllers is addressed for a singular system in which all coefficient matrices except E contain norm_bounded time_varying uncertainties. Using the method of linear matrix inequality (LMI), a sufficient condition was firstly presented for the unforced system to be generalized quadratically stable and passive. Then the existence condition of a state feedback robust passive controller was given and the explicit expression of the controller was derived in terms of the solution of LMIs. Furthermore, the existence condition of a dynamic output feedback robust passive controller was shown by means of matrix inequalities, and the design method of the controller was also given via solving matrix inequalities. Finally, an example was given to illustrate the validity of the proposed methods.