Dissipative control for Markov jump non-linear stochastic systems based on T-S fuzzy model

作者：Sheng, Li^*; Gao, Ming; Zhang, Weihai

来源：International Journal of Systems Science, 2014, 45(5): 1213-1224.

DOI：10.1080/00207721.2012.748103

• non-linear stochastic systems
• markov jump systems
• dissipative control
• fuzzy control
• linear matrix inequality (LMI)

The dissipative analysis and control problems for a class of Markov jump non-linear stochastic systems (MJNSSs) are investigated. A sufficient condition for the dissipativity of MJNSSs is given in terms of coupled non-linear Hamilton-Jacobi inequalities (HJIs). Generally, it is difficult to solve the coupled HJIs. In this paper, based on T-S fuzzy model, the dissipative analysis and controller design for MJNSSs is proposed via solving a set of linear matrix inequalities (LMIs) instead of HJIs. Finally, a numerical example is presented to show the effectiveness of the proposed method.

• 出版日期2014-5-4
• 单位山东科技大学; 中国石油大学（华东）