An Alternate Iterative Differential Evolution Algorithm for Parameter Identification of Chaotic Systems
Parameter estimation of chaotic systems plays a key role for control and synchronization of chaotic systems. At first, the parameter estimation of chaotic systems is mathematically formulated as a global continuous optimization problem. Then through integrating two differential mutation strategies,...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/740721 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561310852710400 |
|---|---|
| author | Wanli Xiang Xuelei Meng Meiqing An |
| author_facet | Wanli Xiang Xuelei Meng Meiqing An |
| author_sort | Wanli Xiang |
| collection | DOAJ |
| description | Parameter estimation of chaotic systems plays a key role for control and synchronization of chaotic systems. At first, the parameter estimation of chaotic systems is mathematically formulated as a global continuous optimization problem. Then through integrating two differential mutation strategies, an improved greedy selection mechanism and a population diversity balance scheme, an alternate iterative differential algorithm, called AIDE, is presented to solve the problem in this paper. Subsequently, experiments are tested on a set of cases of parameter estimation of chaotic systems and the results show that AIDE is better than or at least equal to DE/rand/1/bin, DE/best/1/bin, and other four well-known algorithms in all cases. |
| format | Article |
| id | doaj-art-b0ae7728e714454b9ab472541f936584 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-b0ae7728e714454b9ab472541f9365842025-02-03T01:25:28ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/740721740721An Alternate Iterative Differential Evolution Algorithm for Parameter Identification of Chaotic SystemsWanli Xiang0Xuelei Meng1Meiqing An2Institute of Systems Engineering, Tianjin University, Tianjin 300072, ChinaSchool of Traffic & Transportation, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, ChinaSchool of Traffic & Transportation, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, ChinaParameter estimation of chaotic systems plays a key role for control and synchronization of chaotic systems. At first, the parameter estimation of chaotic systems is mathematically formulated as a global continuous optimization problem. Then through integrating two differential mutation strategies, an improved greedy selection mechanism and a population diversity balance scheme, an alternate iterative differential algorithm, called AIDE, is presented to solve the problem in this paper. Subsequently, experiments are tested on a set of cases of parameter estimation of chaotic systems and the results show that AIDE is better than or at least equal to DE/rand/1/bin, DE/best/1/bin, and other four well-known algorithms in all cases.http://dx.doi.org/10.1155/2015/740721 |
| spellingShingle | Wanli Xiang Xuelei Meng Meiqing An An Alternate Iterative Differential Evolution Algorithm for Parameter Identification of Chaotic Systems Discrete Dynamics in Nature and Society |
| title | An Alternate Iterative Differential Evolution Algorithm for Parameter Identification of Chaotic Systems |
| title_full | An Alternate Iterative Differential Evolution Algorithm for Parameter Identification of Chaotic Systems |
| title_fullStr | An Alternate Iterative Differential Evolution Algorithm for Parameter Identification of Chaotic Systems |
| title_full_unstemmed | An Alternate Iterative Differential Evolution Algorithm for Parameter Identification of Chaotic Systems |
| title_short | An Alternate Iterative Differential Evolution Algorithm for Parameter Identification of Chaotic Systems |
| title_sort | alternate iterative differential evolution algorithm for parameter identification of chaotic systems |
| url | http://dx.doi.org/10.1155/2015/740721 |
| work_keys_str_mv | AT wanlixiang analternateiterativedifferentialevolutionalgorithmforparameteridentificationofchaoticsystems AT xueleimeng analternateiterativedifferentialevolutionalgorithmforparameteridentificationofchaoticsystems AT meiqingan analternateiterativedifferentialevolutionalgorithmforparameteridentificationofchaoticsystems AT wanlixiang alternateiterativedifferentialevolutionalgorithmforparameteridentificationofchaoticsystems AT xueleimeng alternateiterativedifferentialevolutionalgorithmforparameteridentificationofchaoticsystems AT meiqingan alternateiterativedifferentialevolutionalgorithmforparameteridentificationofchaoticsystems |