Synchronization of a Heart Delay Model with Using CPSO Algorithm in Presence of Unknown Parameters
Subject Areas : Statistics
1 - Department of Mathematics, payame nour University, tehran, Iran
2 - Department of Mathematics, Farhangiyan University, Kermanshah, Iran
Corresponding author
Keywords: سنکرون سازی, بهینهسازی ازدحام ذرات آشوبناک, کنترل تطبیقی (AC), مدل سه اسیلاتوری قلب, اسیلاتور غیر خطی,
Abstract :
Heart chaotic system and the ability of particle swarm optimization (PSO) method motivated us to benefit the method of chaotic particle swarm optimization (CPSO) to synchronize the heart three-oscillator model. It can be a suitable algorithm for strengthening the controller in presence of unknown parameters. In this paper we apply adaptive control (AC) on heart delay model, also examine the system stability by the Lyapunov stability theorem. Then we improve results with using CPSO algorithm and define an appropriate cost function. At the end of we implement the proposed approach on an example.
[1] Ben Ali MY, Primary title: psychological model of particle swarm optimization based multiple emotions. Appl. Intell. 2011; 36(3): pp.649–63.
[2] Bowong S, Adaptive synchronization between two different chaotic dynamical systems, Communications in Nonlinear Science and Numerical Simulation, 2007 vol.12: pp.976-985.
[3] Chang WD, PID control for chaotic synchronization using particle swarm optimization. Chaos, Solitons, Fractal 2009; Vol:39: pp.910–917.
[4] El-Gohary A, Optimal synchronization of Rossler system with complete uncertain parameters, Chaos, Solitons & Fractals, 2006: pp. 345-355.
[5] Etemadi S, Alasty A, Salarieh H, Synchronization of chaotic systems with parameter uncertainties via variable structure control. Phys. Lett. 2006; A, Vol: 357: pp. 17–21.
[6] Gois S.R.F.S.M, Savi MA, An analysis of heart rhythm dynamics using a threecoupled oscillator model, Chaos, Solitons and Fractals, 2009, 41 : pp.2553–2565.
[7] Kapitaniak T, Continuous control and synchronization in chaotic systems. Chaos Solitons Fractals 1995; Vol:6: pp.237–44.