Chaos Synchronization in Commensurate Fractional Order Lü System via Optimal PI λ D μ Controller with Artificial Bee Colony Algorithm

In this paper a master-slave approach to chaos synchronization in commensurate fractional order FO Lu 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 Lu systems supports the claim for proposed approach.

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