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

摘要

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.