摘要
讨论了线性多时滞不确定离散时间线性系统的时滞相关H_∞控制问题.首先,建立了一个基于二次型项的有限和不等式.然后,利用这一不等式,采用Lyapunov-Krasovskii泛函方法,获得了系统不仅内部稳定而且具有给定的H_∞性能的时滞相关条件,同时以LMI的形式给出了无记忆H_∞控制器的设计方法.最后,数值例子说明了本文方法的有效性.
The delay-dependent H-infinity control of linear discrete-time uncertain systems with unknown delays is discussed via memoryless state feedback. Firstly, an inequality for finite sums of quadratic terms is established. Based on a linear matrix inequality (LMI), a new delay-dependent condition is then derived by employing Lyapunov-Krasovskii functional method, which can ensure that the resulting closed-loop system is asymptotically stable with a prescribed H-infinity performance. Moreover, the suitable H-infinity controller is designed in light of the feasibility of the obtained LMI. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2006年第6期918-922,共5页
Control Theory & Applications
基金
国家博士点基金(20050533015)
国家杰出青年科学基金(60425310)
国家自然科学基金(60574014).
关键词
离散时间线性系统
时滞相关
H∞控制
线性矩阵不等式
discrete-time linear system
delay-dependent
H-infinity control
linear matrix inequality