Differential Evolution Quantum Particle Swarm Optimization for Parameter Estimation of Fractional-order Chaotic System

Authors

Dong Ze, 1. Hebei Engineering Research Center of Simulation & Optimized Control for Power Generation, North China Electric Power University, Baoding 071003, China;; ;
Ma Ning, 1. Hebei Engineering Research Center of Simulation & Optimized Control for Power Generation, North China Electric Power University, Baoding 071003, China;; ;2. School of Control and Computer Engineering,North China Electric Power University, Beijing 102206, China;

Abstract

Abstract: In order to accurately estimate the unknown parameters for fractional order chaotic systems, a quantum particle swarm optimization algorithm based on differential quantum properties is proposed. On the basis of quantum behaved particle swarm optimization, variation, crossover and selection operation are utilized by particles, which can better keep the diversity of the particles in the population, avoiding the local optimum in the later phase of the iteration. The multi-neighborhood local search strategy is used for particles’ local search to improve search precision. Standard test functions are used to test the algorithm, and the test results show that the algorithm has good global search capability. At last, the proposed algorithm is applied in the parameter estimation for fractional-order Lorenz system and fractional-order Chen system, and the estimation results demonstrate that the algorithm is effective and robust.

Recommended Citation

Ze, Dong and Ning, Ma (2019) "Differential Evolution Quantum Particle Swarm Optimization for Parameter Estimation of Fractional-order Chaotic System," Journal of System Simulation: Vol. 31: Iss. 8, Article 20.
DOI: 10.16182/j.issn1004731x.joss.17-0265
Available at: https://dc-china-simulation.researchcommons.org/journal/vol31/iss8/20

First Page

1664

Revised Date

2017-09-20

DOI Link

https://doi.org/10.16182/j.issn1004731x.joss.17-0265

Last Page

1673

CLC

TP273

Recommended Citation

Dong Ze, Ma Ning. Differential Evolution Quantum Particle Swarm Optimization for Parameter Estimation of Fractional-order Chaotic System[J]. Journal of System Simulation, 2019, 31(8): 1664-1673.

DOI

10.16182/j.issn1004731x.joss.17-0265