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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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2018/3298286 |
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| _version_ | 1832551340757221376 |
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| author | Thiago P. Chagas Pierre-Alexandre Bliman Karl H. Kienitz |
| author_facet | Thiago P. Chagas Pierre-Alexandre Bliman Karl H. Kienitz |
| author_sort | Thiago P. Chagas |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-dee9df3dd5fa441b9c4877421cb52cf0 |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-dee9df3dd5fa441b9c4877421cb52cf02025-02-03T06:01:48ZengWileyJournal 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2018/3298286 |
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