Control of Chaotic Systems using Harmonic Control Arrays

Abstract

Recently, it has been demonstrated that the Harmonic Control Array (HCA) approach provides an effective control strategy for systems with periodic references or disturbances. In order to get zero steady-state error, the harmonic correction algorithm alters the complex levels of the system input's harmonic components appropriately. The signals, parameters, and gains involved in the system are complex valued. An efficient MATLAB/Simulink modeling of HCAs is used to simulate the control system. Besides linear systems, various nonlinear systems with periodic references or disturbances can also be effectively controlled using HCA. In this paper, HCA performance on chaotic systems is demonstrated. Especially we consider the famous Chua's circuit and Recurrent Multilayer Perceptrons (RMLPs).