一类离散不确定系统的状态反馈控制问题

State Feedback Control for a Class of Discrete Uncertain Systems

研究了一类离散不确定系统的状态反馈控制问题．通过将系统的鲁棒控制器解存在的充分条件转化为一类极小极大的优化命题，给出了一种简便而有效的最优鲁棒控制器的设计方法．为了克服最优鲁棒控制器设计的保守性，还通过定义最小状态反馈系数矩阵将反馈控制器的系数矩阵的增益设计到最小的程度．

The state feedback control for a class of discrete uncertain systems is studied. A simple and useful design method for an optimal robust controller is proposed by transforming the sufficient conditions for the existence of a solution of the system in to an equivalent minimax optimization propositions.To overcome the problem of conservative in the design of robust controller,an iterative procedure is given for designing a mininal gain of the coefficient matrix of the feedback controller with a minimum state feedback coefficient matrix defined.