Delay-range-dependent robust stabilisation and H-infinity control for nonlinear uncertain stochastic fuzzy systems with mode-dependent time delays and Markovian jump parameters

作者：Balasubramaniam P^*; Senthilkumar T

来源：International Journal of Systems Science, 2013, 44(1): 187-200.

DOI：10.1080/00207721.2011.600470

• robust H-infinity control
• stochastic fuzzy systems
• mode-dependent delays
• Markovian jump parameters
• linear matrix inequalities (LMIs)

This article focuses on the problems of robust stabilisation and H-infinity control for nonlinear uncertain stochastic systems with mode-dependent time delay and Markovian jump parameters represented by the Takagi-Sugeno (T-S) fuzzy model approach. The system under consideration involves parameter uncertainties, Ito-type stochastic disturbances, Markovian jump parameters and unknown nonlinear disturbances. The purpose is to design a state feedback controller such that the closed-loop system is robustly exponentially stable in the mean square and satisfies a prescribed H-infinity performance level. Novel delay-range-dependent conditions in the form of linear matrix inequalities (LMIs) are derived for the solvability of robust stabilisation and H-infinity control problem. A desired fuzzy controller can be constructed by solving a set solutions of LMIs and can be easily calculated by Matlab LMI control toolbox. Finally, a numerical example is presented to illustrate the proposed method.

• 出版日期2013