FUZZY ADAPTIVE FUNCTION PROJECTIVE COMBINATION SYNCHRONIZATION OF A CLASS OF FRACTIONAL-ORDER CHAOTIC AND HYPERCHAOTIC SYSTEMS

摘要

In this paper we study the fuzzy adaptive function projective combination synchronization of a class of fractional-order chaotic and hyperchaotic systems. Based on T-S fuzzy model, we reconstruct the considered three fractioned-order chaotic and hyperchaotic systems into T-S fuzzy systems. Based on the stability theory of fractional-order systems and tracking control, we propose a fuzzy adaptive function projective combination controller for the synchronization of two fractional-order drive and one fractional-order response systems. Finally, we obtain stability criteria for the error dynamic systems. We present numerical simulation results to illustrate the effectiveness of the developed synchronization control scheme for the three fractional-order chaotic and hyperchaotic systems in the presence of parameter uncertainty and external disturbances.