Abstract
In this paper a master-slave approach to chaos synchronization in commensurate fractional order (FO) Lü system has been studied via optimally designed fractional order Proportional Integral Derivative (PID) Controller. An optimization frame work based on integral time indices has been considered for tuning the unknown parametric constants of FOPID controller. The optimization task was carried out using bees swarm intelligent based Artificial Bee Colony algorithm. A comparative study based on conventional PID control scheme has also been performed to highlight the advantage of using fractional order controller for fractional order systems. Simulation results presented for synchronization of chaos in two Lü systems supports the claim for proposed approach.
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