关键词: 线性广义系统, 容许, 输入输出能量解耦, 状态反馈, 输入变换, 线性矩阵不等式

Abstract: The problem of input-output energy decoupling is considered for linear singular systems. It means an approximate decoupling process enabling the energy of every input controls mainly the energy of a corresponding output with minimized effect on the energy of other outputs. By means of linear matrix inequalities, sufficient conditions are presented to realize the input-output energy decoupling for a linear singular system so as to feature the closed-loop system with the performance above and admissibility (i.e. regular, stable and impulse-free), and the design methods for such controllers are provided in terms of the solution of linear matrix inequalities. Moreover, a computational method is presented with an example given to show how to solve the input-output energy decoupling problem for linear singular systems.