多时滞离散系统的反馈控制器设计  

Designing a State Feedback Robust Controller for Multiple Delays Systems

作　　者：李阳[1] 

机构地区：[1]辽宁石油化工大学理学院,抚顺113001

出　　处：《科学技术与工程》2012年第31期8434-8437,共4页Science Technology and Engineering

基　　金：国家自然科学基金(20273028)资助

摘　　要：针对一类时变不确定、参数有界且状态多时滞离散系统,给出了鲁棒稳定性新的充分条件。通过构造Lyapunov函数,仅需求解一个线性矩阵不等式(LMI),就可设计出保证闭环系统稳定的状态反馈鲁棒控制器。最后通过数值例子说明了该方法的正确性和有效性。Focusing on a class of discrete-time systems with norm-bounded uncertain and state multiple delays, new criterias is presented, which are expressed in terms of linear matrix inequalities （ LMIs）, for robust stability of the system. By using Lyapunov method, a state feedback robust controller is designed to guarantee asymptotic sta- bility of the closed-loop system. 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 

分 类 号：TP273.21[自动化与计算机技术—检测技术与自动化装置]