摘要
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·
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.
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2003年第4期342-344,共3页
Journal of Northeastern University(Natural Science)
基金
教育部骨干教师基金资助项目
关键词
离散广义系统
容许
严格无源
状态反馈
无源控制
discrete-time singular systems
admissible
strictly passive
passive control
static state feedback
