关键词: 广义系统, 时滞, 保成本控制, 弹性控制器, 二次稳定, 线性矩阵不等式

Abstract: The problem of guaranteed cost resiliently control was studied via memoryless state feedback for a class of uncertainty singular systems with state delay. The sufficient condition is given in term of linear matrix inequalities (LMIs), under which the resultant closed-loop descriptor systems are of not only the quadratic stabilization but the upper bound of the cost function. Moreover, the guaranteed cost resiliently controller can be obtained in terms of the solutions to LMIs. The designed resiliently controller can make the closed-loop systems generalized quadratic stability and the closed-loop cost function value has an upper bound. An example is given to illustrate the effectiveness of the proposed method.