Affiliations: Division of Instrumentation and Control Engineering, Netaji Subhas Institute of Technology (NSIT), University of Delhi, Sec-3, Dwarka, New Delhi, India
Correspondence:
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Corresponding author. Sangeeta Gupta, Division of Instrumentation and Control Engineering, Netaji Subhas Institute of Technology (NSIT), University of Delhi, Sec-3, Dwarka, New Delhi, India.
E-mail: sangeeta22011@gmail.com.
Abstract: This paper proposes a scheme to synchronize fractional order chaotic systems employing fractional PID controller. The parameters of FOPID are tuned using Swarm based optimization techniques, viz.: Whale optimization algorithm and Particle swarm optimization techniques. To assert the complete synchronization, master-slave method has been implemented. Chaotic systems are highly dependent upon initial conditions and parameter perturbations. Therefore, taking these properties into consideration, synchronization of two identical fractional order financial chaotic systems is performed with distinct initial conditions. To show the efficacy of the proposed method, analysis is performed for orders between 0 to 1, and also for sensitivity to initial conditions.
Keywords: Fractional order chaotic system (FOCS), fractional order financial chaotic system (FOFCS), whale optimization algorithm (WOA), particle swarm optimization (PSO), proportional-integral-derivative (PID) controller, fractional order PID (FOPID) controller
