转移概率部分未知的正Markov跳变系统的输出反馈控制器设计  

OUTPUT FEEDBACK CONTROLLER DESIGN FOR POSITIVE MARKOV JUMP SYSTEMS WITH PART UNKNOWN TRANSITIONS RATES

作　　者：魏桂梅[1] 李琨[2] 

机构地区：[1]山东万杰医学院公共教学部,淄博255213 [2]渤海大学工学院,锦州121013

出　　处：《系统科学与数学》2015年第5期539-544,共6页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(61403040)资助课题

摘　　要：研究一类转移概率部分未知的正Markov跳变系统的输出反馈控制器设计问题.首先,基于线性余正型Lyapunov函数,对正Markov跳变系统的随机稳定性进行了讨论,在此基础之上,设计输出反馈控制器保证闭环正Markov跳变系统的随机稳定性,通过求解线性规划的方式,得到输出反馈控制器.数值仿真验证了该方法的有效性.This paper deals with the problem of output feedback controller design for positive Markov jump systems with partly unknown transition rates. First, by constructing an appropriate linear co-positive type Lyapunov function, stochastic stability for underlying system is discussed. Based on the results obtained, the output feedback controller is designed to ensure that the closed-loop Markov jump system positive and stochastically stable. All the conditions are given in linear programming. Finally, an example is given to demonstrate the validity of the main results.

关 键 词：MARKOV 转移概率部分未知 LYAPUNOV函数 随机稳定性 线性规划 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]