一类不确定线性切换系统的二次鲁棒稳定性  

The quadratic robust stability for a class of switched linear systems with uncertainty

作　　者：孙文安[1] 赵军[1] 

机构地区：[1]东北大学信息科学与工程学院

出　　处：《电机与控制学报》2005年第3期235-237,242,共4页Electric Machines and Control

基　　金：国家自然科学基金(60274009)高等学校博士学科点专项科研基金(20020145007)辽宁省自然科学基金(20032020)

摘　　要：为了研究一类线性切换系统及其带有非线性扰动系统在任意切换律下的二次鲁棒稳定性问题,采用Riccati不等式导出了带有时变扰动的在任意切换律下二次鲁棒稳定的充分条件,利用线性矩阵不等式研究了其带非线性扰动项的系统在任意切换律下的二次鲁棒稳定的充分条件,并用数值例子对所得结果加以仿真。结果表明,所得的结果是正确的。This paper investigates the quadratic robust stability problem for a class of switched linear systems and their systems with certain nonlinear perturbations under arbitrary laws. First, Using the Riccati inequality to establishe a sufficient condition for quadratic robust stability with time - variant perturbations under arbitrary switching laws. Then, by using the linear matrix inequality to give a sufficient condition for quadratic robust stability of switched linear systems with a certain nonlinear perturbations term under arbitrary switching laws. Finally, it gives a numerical example to illustrate the effectiveness of the theoretical results.

关 键 词：不确定线性切换系统 鲁棒稳定性 RICCATI不等式 非线性扰动系统 线性矩阵不等式 充分条件 稳定性问题 切换律 扰动项 仿真 数值 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] TP13[自动化与计算机技术—控制科学与工程]