区间二型模糊系统动态输出反馈控制设计  

Dynamical output feedback control design of interval type–2 fuzzy systems

作　　者：谢俊 周绍生[1] 韩迎迎 XIE Jun;ZHOU Shao-shengy;HAN Ying-ying(College of Automation,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China;College of Science,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China;College of Mathematics,Hangzhou Normal University,Hangzhou Zhejiang 311121,China)

机构地区：[1]杭州电子科技大学自动化学院,浙江杭州310018 [2]杭州电子科技大学理学院,浙江杭州310018 [3]杭州师范大学数学学院,浙江杭州311121

出　　处：《控制理论与应用》2024年第10期1923-1929,共7页Control Theory & Applications

基　　金：国家自然科学基金项目(62073109)资助.

摘　　要：本文研究了一类连续时间区间二型模糊系统的稳定性和广义耗散性能分析以及动态输出反馈控制器设计问题.首先,简要的介绍了区间二型模糊系统和线积分Lyapunov函数.然后,利用线积分Lyapunov函数方法,建立了使系统满足渐近稳定和广义耗散性能的充分条件.与二次型Lyapunov函数方法得到的条件相比,利用线积分Lyapunov函数方法得到的充分条件保守性更小.该充分条件关于一些矩阵变量是非线性的,利用Finsler引理将其转化为线性矩阵不等式形式,得到了输出反馈控制器存在的充分条件.最后,通过数值算例验证了设计方法的有效性.This paper addresses the problems of stability and extended dissipativity analysis as well as dynamical output feedback controller design for a class of interval type–2 continuous–time fuzzy systems.First of all,the interval type–2 fuzzy systems and line integral Lyapunov functions are briefly introduced.Then,in terms of line integral Lyapunov function approach,a sufficient condition of asymptotic stability and extended dissipativity is established for the system under consideration.This condition has less conservative than the one obtained by quadratic Lyapunov function method.However,the sufficient condition is nonlinear with respect to some matrix variables.In light of Finsler’s lemma,this nonlinear condition can be transformed into linear one equivalently,based on which the output feedback controller can be derived.Finally,a numerical example is provided to illustrate the effectiveness of the proposed approach.

关 键 词：区间二型模糊系统 线积分Lyapunov函数 渐近稳定 广义耗散性能 输出反馈控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]