L ₁ control for positive Markovian jump systems with partly known transition rates

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• 作者：Wenhai Qi ; Xianwen Gao
• 关键词：Linear programming ; partly known transition rates ; positive Markovian jump systems ; stochastic stability
• 刊名：International Journal of Control, Automation and Systems
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：15
• 期：1
• 页码：274-280
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Control, Robotics, Mechatronics;
• 出版者：Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers
• ISSN：2005-4092
• 卷排序：15

文摘

This paper deals with the problem of L₁ control for positive Markovian jump systems with partly known transition rates. First, by constructing an appropriate linear co-positive type Lyapunov-Krasovskii function, stochastic stability for the underlying system is discussed. Then, the L₁-gain performance is analyzed. Based on the results obtained, an effective method is proposed for the design of state feedback controller. All the proposed conditions are derived to ensure that the closed-loop Markovian jump system positive and stochastically stable with L₁-gain performance in linear programming. Finally, an example is given to demonstrate the validity of the main results.