Theory of control of chaos using sampled data

Abstract In this paper we present the theory of control of chaotic systems using sampled data. Firstly the output of the chaotic system is sampled at a given sampling rate. Then the samples of the output are used to construct control signals. Finally, the control signals are held by holding blocks as the control input of the chaotic system during each sampling duration. During each iteration, the control input keeps unchanged. The theoretical results on the asymptotic stability of the controlled chaotic system and the controller are presented. The numerical experimental result on the Lorenz system is used to verify the theoretical results.