不确定离散广义系统的鲁棒严格无源控制

利用线性矩阵不等式方法讨论了不确定离散线性广义系统的严格无源性和严格无源控制问题。通过引入松驰变量来描述广义系统的快变子系统和慢变子系统之间的代数关系,给出一个新的保证离散广义系统正则、因果、稳定且严格无源的充分条件,该条件表示为严格线性矩阵不等式的形式,不涉及系统状态矩阵的分解问题。然后利用这一条件,给出了状态反馈鲁棒严格无源控制器的设计方法。仿真实例说明了该方法的有效性。

Strictly Passive Control with Robustness for Uncertain Discrete Singular Systems

The problem of strictly passive realness and strictly passive control for uncertain discrete linear singular systems is investigated by using the linear matrix inequality approach.The relationship between fast and slow subsystems of the singular system is described by using a relaxed variable,and a sufficient condition is presented for singular systems to be regular,causal,stable and strictly passive.The obtained condition is formulated in terms of strict linear matrix inequality,which do not involve the system state matrix decomposition.Based on the sufficient condition,the robust state feedback strictly passive control is solved.Finally,a numerical example shows the effectiveness of the proposed method.