Predictive Control of Rabinovich System
Ayub Khan, Dinesh Khattar, Nitish Prajapati
TL;DR
This paper presents a predictive control method for stabilizing the Rabinovich chaotic system, ensuring convergence to an unstable equilibrium through designed control inputs verified by simulations.
Contribution
It introduces a novel predictive control approach specifically tailored for the Rabinovich system to achieve chaos stabilization.
Findings
Control input guarantees convergence to equilibrium
Numerical simulations confirm theoretical predictions
Excellent agreement between computational and analytical results
Abstract
The chaos control problem of continuous time Rabinovich chaotic system is addressed. An instantaneous control input has been designed using predictive control principle to guarantee the convergence of the chaotic trajectory towards an unstable equilibrium point. Numerical simulations are presented to verify all the theoretical analyses. Computational and analytical results are in excellent agreement.
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Taxonomy
TopicsChaos control and synchronization · Neural Networks Stability and Synchronization · Nonlinear Dynamics and Pattern Formation