离散广义系统的无源控制

将无源的概念从非线性系统扩展到离散广义系统 ,进而研究离散广义系统在有界能量外部输入作用下的无源控制问题· 利用线性矩阵不等式和广义代数Riccati不等式 ,给出离散广义系统容许且严格无源的充分条件 ,并且基于此条件给出存在状态反馈控制器 ,使得闭环系统容许且严格无源的充分条件 ,同时提出了相应的控制器设计· 最后的数值算例说明了文中结论的有效性

Passive Control for Discrete-Time Singular Systems

The definition of strictly passive is proposed for discrete-time singular systems and the passive control problem is discussed under bounded energy exogenous inputs. By means of linear matrix inequalities and generalized algebra Riccati inequalities, a sufficient condition is derived as such that a prescribed discrete-time singular system is admissible and strictly passive. Moreover, a sufficient condition is provided for the existence of a static state feedback controller such that the resulting closed-loop system is both admissible and strictly passive. The design method for such state feedback controller is also given. An example was carried out to prove the sufficient conditions.