一类不确定时滞系统的H_∞问题

H_∞ Control Problem for a Class of Uncertain Time-delay Systems

研究利用LMI(线性矩阵不等式方法)求解一类时滞不确定系统的H∞性能问题.首先讨论了系统的稳定性问题,然后又构造了无记忆状态反馈控制器来镇定系统并且使系统具有一定的鲁棒性和H∞性能.

H∞ control problem for solving a class of time-delayed and uncertain systems using the method of LMI(Linear Matrix Inequality) is discussed.The stable problem of the system is considered firstly,and then a memoryless state feedback control law is established in order to stablize the systems on the grounds that the system has certain robust property and H∞ property.