Asynchronous Control for Positive Markov Jump Systems

被引：12
作者：
Yin, Kai [1 ,2 ]
Yang, Dedong [1 ,2 ]
Liu, Jiao [1 ,2 ]
Li, Hongchao [1 ,2 ]
机构：
[1] Hebei Univ Technol, Sch Artificial Intelligence, Tianjin 300130, Peoples R China
[2] Hebei Univ Technol, Control Engn Technol Res Ctr Hebei Prov, Tianjin 300130, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2021年 / 19卷 / 02期
关键词：
A hidden Markov model; asynchronous control; copositive stochastic Lyapunov function; positive Markov jump systems; LINEAR-SYSTEMS; STOCHASTIC STABILITY; FILTER DESIGN; TIME-DELAYS; STABILIZATION; PERFORMANCE;
D O I：
10.1007/s12555-019-0734-9
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A new result is provided for the asynchronous control analysis of positive Markov jump systems (PMJSs) in this paper. Firstly, a hidden Markov model is described to express the asynchronous circumstances that appear between the system modes and controller modes. Secondly, by utilizing a copositive stochastic Lyapunov function, a sufficient and necessary condition is given to guarantee the mean stability of PMJSs. Thirdly, we obtain another equivalent condition and design the corresponding asynchronous controller. Finally, the correctness of these results is verified by two numerical examples.
引用
收藏
页码：646 / 654
页数：9
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