Improvement of Power Supply Electromagnetic Compatibility by Extension of Chaos Anticontrol

Abstract

Switch-mode power supplies usually emit electromagnetic interferences at the switching frequency and its harmonics. Inducing chaos in these systems has recently been suggested as a means of reducing these spectral emissions, yet at the expense of aggravating the overall magnitude of the ripple in the output voltage. We propose here a new nonlinear feedback control method, which induces chaos, and which is able at the same time to achieve low spectral emission and to maintain a small ripple in the output. The feasibility and usefulness of this new and simple method is shown here with a numerical example, which includes a comparison with the previous control method.

A new technique to generate independent periodic attractors in the state space of nonlinear dynamic systems

“…The application of the classical method [13,14,20] of chaos anticontrol to obtain a chaotic dynamic in the controlled system (1) uses a nonlinear state feedback. We are interested by a sine function…”

“…After the study of the harmonics of chaotic [20,21] or nonchaotic [22] systems, we generated attractors using a switching piecewise-binary controller in a precise but uncontrollable area of the state space [23]. This time, we propose a switching piecewise-constant controller in continuous-time systems to generate several independent chaotic attractors in a controllable state space area.…”

Generating independent chaotic attractors by chaos anticontrol in nonlinear circuits

“…The application of the classical method ( [9][10][11]) of anticontrol of chaos to obtain a chaotic dynamics in the controlled system (1) uses a simple nonlinear feedback with a small amplitude. We are interested in a simple sine function of the system state, as in [10], but with large variations of the sine amplitude.…”

“…Another technique to create chaos is the anticontrol of chaos (sometimes called chaotification), using time-delay feedback perturbation on a system parameter or employing an exogenous time-delay state-feedback input. The anticontrol reference method designs a simple nonlinear feedback controller with an arbitrarily small amplitude obtaining a chaotic dynamic in the controlled system [9][10][11].…”

Generating chaotic attractors on a surface

“…After the study of the harmonics of chaotic systems [16,18], we generated attractors using a switching piecewisebinary controller in a precise but uncontrollable area of the state space [15] [17]. In this paper, we propose a switching piecewise-constant controller in continuous-time systems to generate several independent 1 chaotic attractors in a controllable state space area.…”