一类不确定关联时滞大系统的分散H_∞ 控制器设计—LMI方法(英文)

An LMI Approach to Decentralized H_∞-Controller Design of a Class of Uncertain Large-Scale Interconnected Time-Delay Systems

研究了一类具有N×N个任意未知常时滞和具有范数有界时变不确定的线性连续大系统的分散鲁棒H∞ 状态反馈控制器设计问题 ,基于线性矩阵不等式方法得到了一个使该系统存在无记忆H∞ 状态反馈控制器的充分条件 ,最后通过一个数值例子来说明分散H∞

H ∞_controller design for a class of uncertain large_scale interconnected continuous systems with N×N unknown but constant delays in the interconnections and time varying but norm_bounded parametric uncertainties is addressed. A sufficient condition for the existence of a memoryless robust H ∞_state feedback control law for uncertain large_scale interconnected time_delay systems is derived with LMI (linear matrix inequality) approach. Finally a numerical example is given to demonstrate the design procedure for the decentralized H ∞_state feedback controller.