Control of the fractional-order Chen chaotic system via fractional-order scalar controller and its circuit implementation

Abstract

A fractional-order scalar controller which involves only one state variable is proposed. By this fractional-order scalar controller, the unstable equilibrium points in the fractional-order Chen chaotic system can be asymptotically stable. The present control strategy is theoretically rigorous. Some circuits are designed to realize these control schemes. The outputs of circuit agree with the results of theoretical results. © 2014 Qiong Huang et al.