Design and Circuit Implementation of Synchronizing Nonlinear Controller for Unified Chaotic System: A T-S Fuzzy Model Approach

In this paper, we propose a new design method for synchronization of unified chaotic systems using the T-S fuzzy modeling and control approach. Based on the T-S fuzzy model exact representation of the unified chaotic system, and by exploiting a new performance criterion for minimizing the synchronization error, we offer design conditions as Linear Matrix Inequalities (LMIs). Moreover, using analog electronic devices, we implement the proposed T-S fuzzy controller to synchronize the master and slave unified chaotic systems which are realized by two practical circuits. Experimental synchronization results show the validity and effectiveness of the proposed T-S fuzzy control method.