非齐次Markovian跳变模糊系统的有限时间 H ∞控制  

Finite-time H ∞ control for nonhomogeneous Markovian jump fuzzy systems

作　　者：刘美 周绍生[2] LIU Mei;ZHOU Shaosheng(School of Sciences,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China;School of Automation,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China)

机构地区：[1]杭州电子科技大学理学院,浙江杭州310018 [2]杭州电子科技大学自动化学院,浙江杭州310018

出　　处：《杭州电子科技大学学报（自然科学版）》2024年第2期43-50,共8页Journal of Hangzhou Dianzi University：Natural Sciences

基　　金：国家自然科学基金资助项目(62073109)。

摘　　要：研究一类离散时间非齐次Markovian跳变奇异模糊系统的有限时间有界问题。在所有顶点已知的凸有界域内考虑时变的转移概率。首先,构造随机李雅普诺夫函数,引入矩阵变量给出奇异随机系统有限时间有界且具有H∞性能的充分条件,其中矩阵变量的结构不受限制,降低了保守性;其次,利用投影引理给出满足H∞性能的状态反馈控制器存在的线性矩阵不等式条件;最后,所提方法的可行性通过算例仿真得以验证。The finite-time boundedness problem is investigated for discrete-time nonhomogeneous Markovian jump IT2 fuzzy systems.The time-varying transition probability is considered in the convex bounded domain with all vertices known.Firstly,by considering a stochastic Lyapunov function,the sufficient conditions for the finite time boundedness and H∞performance of singular stochastic systems are given by introducing specific matrix variables.Secondly,by using the projection lemma,the linear matrix inequality conditions for the existence of state feedback controllers satisfying the H∞performance level are given.Finally,an example is given to verify the effectiveness of the proposed theory.

关 键 词：有限时间有界 非齐次Markovian跳变 H∞性能 投影引理 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]