A New Fuzzy Impulsive Control of Chaotic Systems Based on T–S Fuzzy Model

Yang Liu, Shouwei Zhao, Jianquan Lu
2011 IEEE transactions on fuzzy systems  
In this project, fuzzy impulsive control is used for stabilization of chaotic systems based on the Takagi-Sugeno (T-S) model. The stability issue of the general nonlinear impulsive control system is first investigated via comparison criterion. Then, a novel impulsive control scheme is presented for chaotic systems based on the T-S fuzzy model. Some sufficient conditions are given to stabilize the T-S fuzzy model. The simulation results will be proven to be less conservative theoretically and
more » ... erically. Moreover, it is also estimated the stable region of the impulsive interval. Finally, the proposed fuzzy impulsive control scheme is successfully applied to stabilize R¨ossler's system and Chua's circuit. The numerical simulations demonstrate the effectiveness and advantage of main results.
doi:10.1109/tfuzz.2010.2090162 fatcat:o2jzoeq5i5axretex3mghthsdm