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Stabilization of Chaos with FPIC: Application to ZAD-Strategy Buck Converters

Authors:Olivar Gerard, Technical University of Catalonia UPC, Spain
Angulo Fabiola, Universidad Nacional de Colombia, sede Manizales, Colombia
Fossas Enric, Technical University of Catalonia UPC, Spain
Ocampo Carlos, Technical University of Catalonia UPC, Spain
Topic:2.3 Non-Linear Control Systems
Session:Control and Chaos
Keywords: Chaos, Control Theory, Converters, Nonlinear Control, Stabilization Methods

Abstract

In this paper a new design for controlling dynamical systems hasbeen applied to buck converters driven with aPWM centered pulse and (Zero Average Dynamics) ZAD-strategy. Chaotic operation has beenstabilized with the so-called Fixed Point Induced Control (FPIC) technique.Also, the same converter with delay, whose 1-periodicorbit is always unstable, has been stabilized. Simulations arecompared with the TDAS stabilization technique. Once a 1-periodic orbit has been stabilized,the dynamics shows the same characteristics and advantages of theZAD design, such as robustness, fixed switching frequency (with zero average on thesliding surface) and a low output error.