一类离散多时滞系统稳定性分析和成本控制  

Stability Analysis and Guaranteed Cost Control of Discrete-time Systems with Multiple Time Delays

作　　者：李阳[1] 

机构地区：[1]辽宁石油化工大学理学院,辽宁抚顺113001

出　　处：《计算技术与自动化》2012年第3期1-4,共4页Computing Technology and Automation

基　　金：国家自然科学基金(20273028)

摘　　要：给出一类不确定范数有界离散多时滞系统,采用Lyapunov方法,结合线性矩阵不等式(LMI)技术,论证鲁棒稳定性的一个判据,设计出闭环系统的状态反馈鲁棒控制器,进一步给出可保成本的数学结构。最后利用matlab软件求解LMI,仿真案例验证了该方法的正确性和有效性。Focusing on a class of norm-bounded discrete-time uncertain systems with multiple delay, by using Lyapunov method and linear matrix inequalities （LMI）, this paper presents new sufficient conditions to guarantee the robust stability of the system, and then designs a state feedback robust controller for the dosed loop system. This article further proposed the structure of the guaranteed cost. In the end, by using matlab software, a simulation case is provided to illustrate the correctness and the effectiveness of the proposed theoretical results.

关 键 词：离散系统 多时滞 鲁棒稳定 线性矩阵不等式(LMI) 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]