Instrumental Variable-Based OMP Identification Algorithm for Hammerstein Systems
Hammerstein systems are formed by a static nonlinear block followed by a dynamic linear block. To solve the parameterizing difficulty caused by parameter coupling between the nonlinear part and the linear part in a Hammerstein system, an instrumental variable method is studied to parameterize the Ha...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/8420426 |
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| author | Shuo Zhang Dongqing Wang Yaru Yan |
| author_facet | Shuo Zhang Dongqing Wang Yaru Yan |
| author_sort | Shuo Zhang |
| collection | DOAJ |
| description | Hammerstein systems are formed by a static nonlinear block followed by a dynamic linear block. To solve the parameterizing difficulty caused by parameter coupling between the nonlinear part and the linear part in a Hammerstein system, an instrumental variable method is studied to parameterize the Hammerstein system. To achieve in simultaneously identifying parameters and orders of the Hammerstein system and to promote the computational efficiency of the identification algorithm, a sparsity-seeking orthogonal matching pursuit (OMP) optimization method of compressive sensing is extended to identify parameters and orders of the Hammerstein system. The idea is, by the filtering technique and the instrumental variable method, to transform the Hammerstein system into a simple form with a separated nonlinear expression and to parameterize the system into an autoregressive model, then to perform an instrumental variable-based orthogonal matching pursuit (IV-OMP) identification method for the Hammerstein system. Simulation results illustrate that the investigated method is effective and has advantages of simplicity and efficiency. |
| format | Article |
| id | doaj-art-c3571ce76ca74f0f868782f5cae910fe |
| institution | DOAJ |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-c3571ce76ca74f0f868782f5cae910fe2025-08-20T03:23:12ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/84204268420426Instrumental Variable-Based OMP Identification Algorithm for Hammerstein SystemsShuo Zhang0Dongqing Wang1Yaru Yan2College of Automation Engineering, Qingdao University, Qingdao 266071, ChinaCollege of Automation Engineering, Qingdao University, Qingdao 266071, ChinaCollege of Automation Engineering, Qingdao University, Qingdao 266071, ChinaHammerstein systems are formed by a static nonlinear block followed by a dynamic linear block. To solve the parameterizing difficulty caused by parameter coupling between the nonlinear part and the linear part in a Hammerstein system, an instrumental variable method is studied to parameterize the Hammerstein system. To achieve in simultaneously identifying parameters and orders of the Hammerstein system and to promote the computational efficiency of the identification algorithm, a sparsity-seeking orthogonal matching pursuit (OMP) optimization method of compressive sensing is extended to identify parameters and orders of the Hammerstein system. The idea is, by the filtering technique and the instrumental variable method, to transform the Hammerstein system into a simple form with a separated nonlinear expression and to parameterize the system into an autoregressive model, then to perform an instrumental variable-based orthogonal matching pursuit (IV-OMP) identification method for the Hammerstein system. Simulation results illustrate that the investigated method is effective and has advantages of simplicity and efficiency.http://dx.doi.org/10.1155/2018/8420426 |
| spellingShingle | Shuo Zhang Dongqing Wang Yaru Yan Instrumental Variable-Based OMP Identification Algorithm for Hammerstein Systems Complexity |
| title | Instrumental Variable-Based OMP Identification Algorithm for Hammerstein Systems |
| title_full | Instrumental Variable-Based OMP Identification Algorithm for Hammerstein Systems |
| title_fullStr | Instrumental Variable-Based OMP Identification Algorithm for Hammerstein Systems |
| title_full_unstemmed | Instrumental Variable-Based OMP Identification Algorithm for Hammerstein Systems |
| title_short | Instrumental Variable-Based OMP Identification Algorithm for Hammerstein Systems |
| title_sort | instrumental variable based omp identification algorithm for hammerstein systems |
| url | http://dx.doi.org/10.1155/2018/8420426 |
| work_keys_str_mv | AT shuozhang instrumentalvariablebasedompidentificationalgorithmforhammersteinsystems AT dongqingwang instrumentalvariablebasedompidentificationalgorithmforhammersteinsystems AT yaruyan instrumentalvariablebasedompidentificationalgorithmforhammersteinsystems |