线性广义系统的输出反馈无源控制

Passive Control of Linear Singular Systems via Output Feedback

将严格无源的概念引入到广义系统中,进而研究线性广义系统的输出反馈无源控制问题·利用线性矩阵不等式,首先给出线性广义系统容许(即正则、稳定、无脉冲)且严格无源的充分条件,在此基础上,分别给出存在静态和动态输出反馈控制器,保证闭环系统容许且严格无源的充分条件,并且利用矩阵不等式的解设计了相应的输出反馈控制器,最后提供一个算例以说明文中结论的有效性·

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.