Parameter estimation of fractional-order memristor-based chaotic systems using state transition algorithm

Author(s):  
Zhaoke Huang ◽  
Xiaojun Zhou
2019 ◽  
Vol 30 (11) ◽  
pp. 1950086 ◽  
Author(s):  
Pei Zhang ◽  
Renyu Yang ◽  
Renhuan Yang ◽  
Gong Ren ◽  
Xiuzeng Yang ◽  
...  

The essence of parameter estimation for fractional-order chaotic systems is a multi-dimensional parameter optimization problem, which is of great significance for implementing fractional-order chaos control and synchronization. Aiming at the parameter estimation problem of fractional-order chaotic systems, an improved algorithm based on bird swarm algorithm is proposed. The proposed algorithm further studies the social behavior of the original bird swarm algorithm and optimizes the foraging behavior in the original bird swarm algorithm. This method is applied to parameter estimation of fractional-order chaotic systems. Fractional-order unified chaotic system and fractional-order Lorenz system are selected as two examples for parameter estimation systems. Numerical simulation shows that the algorithm has better convergence accuracy, convergence speed and universality than bird swarm algorithm, artificial bee colony algorithm, particle swarm optimization and genetic algorithm.


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