基于观测器的切换模糊时滞系统的反馈控制  

Observer-based feedback control for switching fuzzy time-delay systems

作　　者：刘毅[1] 赵军[1] 

机构地区：[1]东北大学流程工业综合自动化教育部重点实验室,辽宁沈阳110004

出　　处：《控制理论与应用》2009年第3期274-276,共3页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60874024,60574013,90816028);高等学校博士学科点专项科研基金资助项目(200801450019).

摘　　要：针对状态不可测的切换模糊时滞系统,根据平行分布补偿算法(PDC),设计了切换模糊观测器和反馈控制器,应用共同Lyapunov函数方法使观测误差系统在任意切换下渐近稳定,应用多Lyapunov函数方法,使系统状态在设计切换律下渐近稳定,并给出了时滞相关的切换模糊系统渐近稳定的矩阵不等式条件.仿真结果表明结论的有效性.The stabilization problem is addressed for a class of switching fuzzy time-delay systems, For the non- measurable states, a switching fuzzy observer and a feedback controller are designed based on the parallel distributed compensation（PDC） method. Asymptotic stability of the observed error system is then obtained by the common-Lyapunov-function method. A switching law is also designed by the multiple-Lyapunov-function method to guarantee the asymptotic stability of the systems. Delay-dependent conditions for asymptotic stability of the switching fuzzy systems are obtained in terms of matrix inequalities. Finally, simulation results show effectiveness of the design method.

关 键 词：切换系统 模糊控制 时滞相关 观测器 LYAPUNOV函数 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]