多时滞离散系统鲁棒稳定性优化模型
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引用本文:李阳.多时滞离散系统鲁棒稳定性优化模型[J].计算技术与自动化,2013,(1):22-24
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作者单位
李阳 (辽宁石油化工大学 理学院 辽宁 抚顺113001) 
中文摘要:给出一类时变不确定状态多时滞离散系统,通过构造Lyapunov函数,仅需求解一个关于线性矩阵不等式组(LMIs)的优化模型,就可设计出保证闭环系统稳定的无记忆状态反馈鲁棒控制器,最后通过数值例子说明该方法的正确性和有效性。
中文关键词:多时滞  鲁棒稳定  线性矩阵不等式
 
Optimal Models for Robust Stabilization of Multiple State Delays Systems
Abstract:A class of discrete-time systems with uncertain state multiple-delays is proposed. To guarantee asymptotic stability of the closed-loop system, by constructing Lyapunov function, this paper presents a new memoryless state feedback robust controller, which is expressed in terms of optimal models subjected to linear matrix inequalities(LMIs).A simulation case is provided to illustrate the correctness and the effectiveness of the proposed theoretical results.
keywords:multiple delay  robust stability  Linear Matrix Inequalities (LMIs)
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