Sequential Parameter Identification of Fractional-Order Duffing System Based on Differential Evolution Algorithm

Using the dynamic properties of fractional-order Duffing system, a sequential parameter identification method based on differential evolution optimization algorithm is proposed for the fractional-order Duffing system. Due to the step by step parameter identification method, the dimension of paramete...

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Bibliographic Details
Published in:Mathematical problems in engineering 2017-01, Vol.2017 (2017), p.1-13
Main Authors: Zhang, Lu, Zhong, Suchuan, Ji, Yuan-Dong, Lai, Li
Format: Article
Language:English
Subjects:
Calculus
Computer simulation
Evolutionary algorithms
Foraging behavior
Fractals
Genetic algorithms
Noise
Noise measurement
Optimization algorithms
Parameter estimation
Parameter identification
Physics
Signal processing
Solid state physics
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Summary:Using the dynamic properties of fractional-order Duffing system, a sequential parameter identification method based on differential evolution optimization algorithm is proposed for the fractional-order Duffing system. Due to the step by step parameter identification method, the dimension of parameter identification of each step is greatly reduced and the search capability of the differential evolution algorithm has been greatly improved. The simulation results show that the proposed method has higher convergence reliability and accuracy of identification and also has high robustness in the presence of measurement noise.
ISSN:1024-123X
1563-5147
DOI:10.1155/2017/3572365