Approximate Prediction-Based Control Method for Nonlinear Oscillatory Systems with Applications to Chaotic Systems

Approximate Prediction-Based Control Method for Nonlinear Oscillatory Systems with Applications to Chaotic Systems

The approximate Prediction-Based Control method (aPBC) is the continuous-time version of the well-known Prediction-Based Chaos Control method applied to stabilize periodic orbits of nonlinear dynamical systems. The method is based on estimating future states of the free system response of continuous...

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Main Authors: Thiago P. Chagas, Pierre-Alexandre Bliman, Karl H. Kienitz
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2018/3298286
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spelling doaj-dee9df3dd5fa441b9c4877421cb52cf02020-11-24T22:15:01ZengHindawi LimitedJournal of Control Science and Engineering1687-52491687-52572018-01-01201810.1155/2018/32982863298286Approximate Prediction-Based Control Method for Nonlinear Oscillatory Systems with Applications to Chaotic SystemsThiago P. Chagas0Pierre-Alexandre Bliman1Karl H. Kienitz2Universidade Estadual de Santa Cruz (UESC), 45662-900 Ilhéus, BA, BrazilLab. J.-L. Lions UMR CNRS, Inria, UPMC University Paris 06, Sorbonne Universités, 7598 Paris, FranceInstituto Tecnológico de Aeronáutica (ITA), 12228-900 São José dos Campos, SP, BrazilThe approximate Prediction-Based Control method (aPBC) is the continuous-time version of the well-known Prediction-Based Chaos Control method applied to stabilize periodic orbits of nonlinear dynamical systems. The method is based on estimating future states of the free system response of continuous-time systems using the solution from the Runge-Kutta implicit method in real time. Some aspects of aPBC are evaluated in the present work, particularly its robustness to low future states estimation precision is exemplified.http://dx.doi.org/10.1155/2018/3298286
collection DOAJ
language English
format Article
sources DOAJ
author Thiago P. Chagas
Pierre-Alexandre Bliman
Karl H. Kienitz
spellingShingle Thiago P. Chagas
Pierre-Alexandre Bliman
Karl H. Kienitz
Approximate Prediction-Based Control Method for Nonlinear Oscillatory Systems with Applications to Chaotic Systems
Journal of Control Science and Engineering
author_facet Thiago P. Chagas
Pierre-Alexandre Bliman
Karl H. Kienitz
author_sort Thiago P. Chagas
title Approximate Prediction-Based Control Method for Nonlinear Oscillatory Systems with Applications to Chaotic Systems
title_short Approximate Prediction-Based Control Method for Nonlinear Oscillatory Systems with Applications to Chaotic Systems
title_full Approximate Prediction-Based Control Method for Nonlinear Oscillatory Systems with Applications to Chaotic Systems
title_fullStr Approximate Prediction-Based Control Method for Nonlinear Oscillatory Systems with Applications to Chaotic Systems
title_full_unstemmed Approximate Prediction-Based Control Method for Nonlinear Oscillatory Systems with Applications to Chaotic Systems
title_sort approximate prediction-based control method for nonlinear oscillatory systems with applications to chaotic systems
publisher Hindawi Limited
series Journal of Control Science and Engineering
issn 1687-5249
1687-5257
publishDate 2018-01-01
description The approximate Prediction-Based Control method (aPBC) is the continuous-time version of the well-known Prediction-Based Chaos Control method applied to stabilize periodic orbits of nonlinear dynamical systems. The method is based on estimating future states of the free system response of continuous-time systems using the solution from the Runge-Kutta implicit method in real time. Some aspects of aPBC are evaluated in the present work, particularly its robustness to low future states estimation precision is exemplified.
url http://dx.doi.org/10.1155/2018/3298286
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AT pierrealexandrebliman approximatepredictionbasedcontrolmethodfornonlinearoscillatorysystemswithapplicationstochaoticsystems
AT karlhkienitz approximatepredictionbasedcontrolmethodfornonlinearoscillatorysystemswithapplicationstochaoticsystems
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