关键词: 线性广义系统, 容许, 严格无源, 输出反馈, 矩阵不等式

Abstract: The definition of strict passivity is proposed for singular systems and the passive control problem of linear singular systems is discussed via output feedback. By means of linear matrix inequalities, a sufficient condition is derived such that a definite singular system is not only admissible (i.e. regular, stable, impulse-free) but also strictly passive. Based on such a condition, the sufficient conditions for the existence of either static or dynamic output feedback controller are given to make sure that the closed-loop system is admissible and strictly passive. Moreover, under certain conditions, the static and dynamic output feedback control laws are designed in terms of the solution of matrix inequalities. An example was provided to prove the validity of the sufficient conditions.