A Separated Approach to Control of Markov Jump Nonlinear Systems With General Transition Probabilities

被引：144
作者：
Shen, Mouquan [1 ,2 ]
Park, Ju H. [2 ]
Ye, Dan [3 ]
机构：
[1] Nanjing Tech Univ, Coll Elect Engn & Control Sci, Nanjing 211816, Jiangsu, Peoples R China
[2] Yeungnam Univ, Dept Elect Engn, Kyonsan 38541, South Korea
[3] Northeastern Univ, Coll Informat Sci Engn, Shenyang 110819, Peoples R China
来源：
IEEE TRANSACTIONS ON CYBERNETICS | 2016年 / 46卷 / 09期
基金：
中国国家自然科学基金; 新加坡国家研究基金会;
关键词：
General uncertain transition probabilities (TPs); linear matrix inequality (LMI); Markov jump nonlinear system (MJNS); stochastically stable; UNCERTAIN LINEAR-SYSTEMS; SLIDING-MODE CONTROL; ROBUST STABILITY; CONTINUOUS-TIME; FUZZY CONTROL; STABILIZATION;
D O I：
10.1109/TCYB.2015.2459717
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is devoted to the control of Markov jump nonlinear systems with general transition probabilities (TPs) allowed to be known, uncertain, and unknown. With the help of the S-procedure to dispose the system nonlinearities and the TP property to eliminate the coupling between unknown TP and Lyapunov variable, an extended bounded real lemma for the considered system to be stochastically stable with the prescribed H-infinity performance is established in the framework of linear matrix inequalities. To handle the nonlinearity incurred by uncertain TP for controller synthesis, a separated method is proposed to decouple the interconnection between Lyapunov variables and controller gains. A numerical example is given to show the effectiveness of the proposed method.
引用
收藏
页码：2010 / 2018
页数：9
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