Approximate prediction-based control method for nonlinear oscillatory systems with applications to chaotic systems

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2-s2.0-85044134431.pdf (8.88 MB)
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2018

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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. © 2018 Thiago P. Chagas et al.

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Chaos Theory Chaotic Systems Dynamical Systems Forecasting Nonlinear Dynamical Systems Real Time Systems Runge Kutta Methods Continuous-Time Control Methods Estimation Precision Implicit Methods Nonlinear Oscillatory Systems Periodic Orbits Prediction-Based System Response Continuous Time Systems

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Sistemas dinâmicos diferenciais Comportamento caótico nos sistemas Modelos matemáticos

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https://hdl.handle.net/10438/25203

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