摘要
将无源的概念引入到滞后离散广义系统中,进而研究具滞后的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。基于广义Lyapunov函数,利用线性矩阵不等式和广义代数Riccati不等式,首先给出具滞后的离散广义系统E-渐进稳定且具有无源性的充分条件,然后在此基础上,得到存在状态反馈控制器,使得闭环系统E-渐近稳定且具有无源性的充分条件,并且由矩阵不等式的解给出相应的控制器构造方法。最后的数值算例说明了文中结论的有效性。
The definition of passive is proposed for discrete singular systems with time-delay and the passive control problem is discussed under bounded energy exogenous inputs for such systems. By means of generalized Lyapunov function, a sufficient condition is derived in terms of linear matrix inequalities and generalized Riccati inequalities, so that a prescribed discrete singular system with time-delay is passive and E-asymptotically stable, then a sufficient condition for the existence of a state feedback controller is given so that the resulting closed-loop system is both passive and E-asymptotically stable. Moreover, the design method for the controller is provided from the solutions of matrix inequalities. An example is given to
prove the sufficient conditions.
出处
《电机与控制学报》
EI
CSCD
北大核心
2003年第3期232-234,247,共4页
Electric Machines and Control
基金
教育部骨干教师基金
关键词
离散广义系统
无源控制
鲁棒控制
非线性控制
passive control
discrete singular systems with time-delay
E-asymptotical stability
state feedback
