Harmony Gravitational Search Algorithm for Solving the Problem of Parameter Estimation for Fractional-order Chaotic Systems

Authors

Huang Yu, Hebei Engineering Research Center of Simulation Optimized Control for Power Generation, North China Electric Power University, Baoding 071003, China;
Jiarong Wang, Hebei Engineering Research Center of Simulation Optimized Control for Power Generation, North China Electric Power University, Baoding 071003, China;
Weiping Liang, Hebei Engineering Research Center of Simulation Optimized Control for Power Generation, North China Electric Power University, Baoding 071003, China;

Abstract

Abstract: Aiming at parameter estimation for fractional-order chaotic systems, a harmony gravitational search algorithm was proposed. The particles, which were updated by gravitational search algorithm, were recreated and searched through memory selections and probability search in harmony search algorithm. At the same times, in order to solve the problem that the speed changed too fast when the particles closed to the optimal solution, the partial adjustment probability was set to non-linearly decrease with the adsorption capacity increasing. Standard test functions were used to test the algorithm, and the test results show that the algorithm has good stability and global search capability. At last, the harmony gravitational search algorithm is applied in the parameter estimation for fractional-order Rӧssler system and fractional-order Lorenz system, and the estimation results show that the algorithm is effective and robust.

Recommended Citation

Yu, Huang; Wang, Jiarong; and Liang, Weiping (2020) "Harmony Gravitational Search Algorithm for Solving the Problem of Parameter Estimation for Fractional-order Chaotic Systems," Journal of System Simulation: Vol. 28: Iss. 5, Article 7.
Available at: https://dc-china-simulation.researchcommons.org/journal/vol28/iss5/7

First Page

1045

Revised Date

2015-04-23

DOI Link

https://doi.org/

Last Page

1053

CLC

TP273

Recommended Citation

Huang Yu, Wang Jiarong, Liang Weiping. Harmony Gravitational Search Algorithm for Solving the Problem of Parameter Estimation for Fractional-order Chaotic Systems[J]. Journal of System Simulation, 2016, 28(5): 1045-1053.