具有随机非线性和部分转移概率未知的马尔科夫系统的H_∞控制(英文)  

H_∞ control for Markovian jump systems with incomplete transition probabilities and probabilistic nonlinearities

作　　者：田恩刚[1] 岳东[2] 杨继全[1] 

机构地区：[1]南京师范大学电气与自动化工程学院,江苏南京210042 [2]南京邮电大学自动化学院,江苏南京210023

出　　处：《控制理论与应用》2014年第3期392-396,共5页Control Theory & Applications

基　　金：supported by the National Natural Science Foundation of China(61273114,61273115);the Natural Science Foundation of Jiangsu Province of China(BK2012847,BK2012469)

摘　　要：本文研究了非线性马尔科夫跳变系统的H∞控制问题.研究上述系统时:1)利用了非线性的概率分布信息;2)利用了转移概率中已知部分和未知部分的关系.利用李雅普诺夫泛函方法和线性矩阵不等式方法,本文得到了使得系统随机稳定的充分条件并得到了相应的反馈控制增益.文中最后给出的例子表明了所建立模型和分析方法的有效性.This paper considers nonlinear H∞ control for Markovian jump systems.In considering the above mentioned systems we have made use of：1） the information of the nonlinear probability distribution; 2） the relationship between the known part and the unknown part of the transition probabilities.By using the linear matrix inequality technique,we obtained the sufficient conditions of stochastic stability for the systems and feedback gains for the H 1 controller based on the Lyapunov function method.A numerical example shows the effectiveness of the proposed modeling and the design approach.

关 键 词：随机非线性 部分转移概率未知 马尔科夫跳变系统 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]