Finite-time H∞ static output control of Markov jump systems with an auxiliary approach

作者：Shen, Mouquan; Yan, Shen; Zhang, Guangming; Park, Ju H.^*

来源：Applied Mathematics and Computation, 2016, 273: 553-561.

DOI：10.1016/j.amc.2015.10.038

• Markov jump systems
• Finite-time stability
• Static output feedback

This paper considers the finite time H-infinity static output feedback control of Markov jump systems. With the help of introducing two new variables related to the original system state and output, sufficient conditions for the closed loop system to be stochastic finite time boundedness with the prescribed H-infinity performance level are proposed in terms of linear matrix inequalities (LMIs). Meanwhile, the static output control gains are solved explicitly by the proposed conditions. It is shown that the proposed method is less or at least the same conservative than the existing result. Lastly, a numerical example is given to demonstrate the effectiveness of the proposed method.

• 出版日期2016-1-15
• 单位南京工业大学; 东南大学