Chaos control using local polynomial approximation
Master Thesis
2001
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University of Cape Town
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Abstract
Chaotic systems may be defined as those whose behaviour is sensitively dependent on initial conditions. Such systems may be made periodic using small input perturbations, as proposed in [OGY90]; this is called Ott-Grebogi-Yorke (OGY) chaos control. The original method used a linear model for controller design; a later development of chaos control was [CCdF99], in which a polynomial model is used. This dissertation proposes using local Taylor polynomial models as a basis for chaos control.
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Includes bibliographical references.
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Reference:
Yorke, R. 2001. Chaos control using local polynomial approximation. University of Cape Town.