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

Thiago Chagas 1 Pierre-Alexandre Bliman 2, 3 Karl Kienitz 4
1 UESC - Universidade Estadual De Santa Cruz [Brazil]
2 FGV - Fundacao Getulio Vargas [Rio de Janeiro]
3 MAMBA - Modelling and Analysis for Medical and Biological Applications
Inria de Paris, LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
4 ITA - Instituto Tecnológico de Aeronáutica [São José dos Campos]
Abstract : 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.
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Thiago Chagas, Pierre-Alexandre Bliman, Karl Kienitz. Approximate Prediction-Based Control Method for Nonlinear Oscillatory Systems with Applications to Chaotic Systems. Journal of Control Science and Engineering, Hindawi Publishing Corporation, 2018, 2018, pp.1-29. ⟨10.1155/2018/3298286⟩. ⟨hal-01722175⟩

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