Controlling chaos by predictive control
| Authors: | Polyak Boris, Institute for Control Science, Russian Federation
Maslov Victor, Institute for Control Science, Russian Federation |
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| Topic: | 2.3 Non-Linear Control Systems |
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| Session: | Nonlinear Model Predictive Control |
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| Keywords: | Chaos, control, nonlinear systems, unstable periodic orbits,stabilization, logistic map, tent map, Henon map. |
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Abstract
New approach to controlling chaos in discrete-time systems is proposed. Westabilize the desired unstable periodic orbit via small control, based onprediction of the trajectory. The method is validated for one-dimensional aswell as for multidimensional maps. Numerical simulation for logistic, tent,Henon maps demonstrates the effectiveness of the approach.
