线性双时滞广义系统时滞依赖H_∞控制

Delay-dependent H_∞ control for singular systems with two time-delays

研究了线性双时滞广义系统时滞依赖H∞控制器设计问题.利用线性矩阵不等式方法和Lyapunov-Krasovskii泛函相结合,给出了线性双时滞广义系统的一个有界实引理.在此基础上,给出了H∞控制器的设计方法和存在的充分条件.该控制器的设计使得在满足一定的条件下闭环系统是正则、稳定、无脉冲的,且从扰动到控制输出的传递函数的H∞范数不超过某个确定的上界.

The problem of delay-dependent H∞ control for singular systems with two state delays is concerned.In terms of linear matrix inequalities（LMIs） approach and Lyapunov-Krasovskii functional,it presents a delay-dependent bounded real lemma（BRL） to ensure the system to be regular,impulse free,and stable with H∞ performance condition for two state delays.Based on this criterion,it obtains the sufficient conditions for the existence of H∞ state-feedback controller.