Markov跳变系统有限短时间控制研究综述  

A survey on finite-time control of Markov jump systems

作　　者：曹智茹 牛玉刚[1] 宋军[1] 何舒平[2,3] 

机构地区：[1]华东理工大学信息科学与工程学院,上海200237 [2]安徽大学电气工程与自动化学院,安徽合肥230601 [3]安徽大学计算智能与信号处理教育部重点实验室,安徽合肥230601

出　　处：《安徽大学学报（自然科学版）》2018年第2期32-40,共9页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(61673174;61673001)

摘　　要：Markov跳变系统是一类能有效描述参数突变的随机系统,其稳定性及控制问题引起了科研人员的兴趣.特别地,考虑工程中的暂态性概念,基于有限短时间稳定性的Markov跳变系统控制问题得到了极大的关注.综述Markov跳变系统有限短时间控制问题的研究.回顾连续、离散时间Markov跳变系统及有限短时间稳定性的基本定义,介绍Markov跳变系统有限短时间控制的研究现状,展望该问题未来的研究方向.Markov jump systems （MJSs） attract widespread interest since this kind of stochastic system can effectively model the dynamical systems with some abrupt changes in parameters. In particular, the robust control problem of MJSs with considering finite-time stability gains particular research attention owing to the fact that many dynamic systems only work on a specified short interval. This paper provided a survey on the topic of finite- time control of MJSs. The definitions of the continuous/discrete-time MJSs and the finite- time stability were reviewed, and the current progress on the finite-time control synthesis of the MJSs was summarized in detail. The potential research directions of the topic were discussed.

关 键 词：MARKOV跳变系统 有限短时间稳定 输入输出有限短时间稳定 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]