Controlling Belousov–Zhabotinsky–continuous stirred tank reactor chaotic chemical reaction by discrete and continuous control strategies

Abstract

Discrete and continuous control strategies are applied to regulate the Belousov–Zhabotinsky–continuous stirred tank reactor (BZ–CSTR) chaotic chemical reaction onto the stabilized states. The orderly intrinsic states of the chaotic system, such as unstable periodic-1 orbit (UPO-1), unstable periodic-2 orbit (UPO-2) and unstable periodic-4 orbit (UPO-4) are obtained by the discrete nonlinear perturbation feedback method from within the whole chaotic region (NPF-WCR). The non-intrinsic orderly states, such as period-4, period-2, period-1 and steady state can be maintained by the continuous linear and nonlinear self-interacting feedback control strategy. The differences between the two methods are also discussed. An "‘extremum space control’' method is suggested.