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
刘美 1周绍生2
作者信息
- 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
- 折叠
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.
Abstract
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Key words
finite-time boundedness/non-homogeneous Markovian Jump/H∞ performance/projection lemma引用本文复制引用
出版年
2024
NETL
NSTL
万方数据