Control of discrete chaotic systems with uncertain parameters

A new chaos control method, the parametric adaptive open-plus-closed-loop control (PAOPCL), is developed for stabilizing the discrete chaotic system, in which parameters are uncertain and can not be directly measured, by estimating the real parameters using double observers. First, the open-plus-closed-loop control (OPCL) is recalled and studied and the condition is presented, in which OPCL can control the chaotic system when the parameters can be obtained directly. Finally, the effectiveness of the proposed approach is illustrated by stabilizing the chaotic dynamics of the logistic map and the Henon map.