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一类线性不确定切换系统的非脆弱控制器设计方法
Design Methods of Non-fragile Controllers for a Class of Uncertain Switched Linear Systems
【摘要】 针对一类线性不确定切换系统,在控制器增益存在加性摄动的情况下,给出了非脆弱状态反馈控制器的两种设计方案:方案1是利用多Lyapunov函数方法,通过子系统之间的切换,使系统对所有可允许的不确定性保持渐近稳定;方案2是基于平均驻留时间方法,给出了非脆弱状态反馈控制器存在的一个充分条件.相应的结果都是以线性矩阵不等式的形式给出.最后以一个数值例子说明了上述两种方法的有效性.
【Abstract】 Two kinds of design schemes of non-fragile state-feedback controllers for a class of uncertain switched linear systems are developed.The controller gain to be designed is assumed to have additive gain variations.Based on multiple-Lyapunov function technique,the first design method guarantees that the switched system is asymptotically stable for all admissible uncertainties by means of switching among subsystems.The second method presents a sufficient condition for the existence of non-fragile controllers by employing average dwell time method.The corresponding results are all given in terms of linear matrix inequalities(LMIs).Finally,a simulation example shows the effectiveness of the proposed approaches.
【Key words】 Switched system; Non-fragile control; Multiple-Lyapunov function; Average dwell time;
- 【文献出处】 控制与决策 ,Control and Decision , 编辑部邮箱 ,2006年07期
- 【分类号】TP13
- 【被引频次】46
- 【下载频次】489