Least-Squares Parameter Estimation Algorithm for a Class of Input Nonlinear Systems
This paper studies least-squares parameter estimation algorithms for input nonlinear systems, including the input nonlinear controlled autoregressive (IN-CAR) model and the input nonlinear controlled autoregressive autoregressive moving average (IN-CARARMA) model. The basic idea is to obtain linear-...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/684074 |
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| _version_ | 1832554252001607680 |
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| author | Weili Xiong Wei Fan Rui Ding |
| author_facet | Weili Xiong Wei Fan Rui Ding |
| author_sort | Weili Xiong |
| collection | DOAJ |
| description | This paper studies least-squares parameter estimation algorithms for input nonlinear systems, including the input nonlinear controlled autoregressive (IN-CAR) model and the input nonlinear controlled autoregressive autoregressive moving average (IN-CARARMA) model. The basic idea is to obtain linear-in-parameters models by overparameterizing such nonlinear systems and to use the least-squares algorithm to estimate the unknown parameter vectors. It is proved that the parameter estimates consistently converge to their true values under the persistent excitation condition. A simulation example is provided. |
| format | Article |
| id | doaj-art-d5fb9fc8c47044258ed309202c3d57a6 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-d5fb9fc8c47044258ed309202c3d57a62025-02-03T05:52:06ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/684074684074Least-Squares Parameter Estimation Algorithm for a Class of Input Nonlinear SystemsWeili Xiong0Wei Fan1Rui Ding2Key Laboratory of Advanced Process Control for Light Industry of Ministry of Education, Jiangnan University, Wuxi 214122, ChinaSchool of Internet of Things Engineering, Jiangnan University, Wuxi 214122, ChinaSchool of Internet of Things Engineering, Jiangnan University, Wuxi 214122, ChinaThis paper studies least-squares parameter estimation algorithms for input nonlinear systems, including the input nonlinear controlled autoregressive (IN-CAR) model and the input nonlinear controlled autoregressive autoregressive moving average (IN-CARARMA) model. The basic idea is to obtain linear-in-parameters models by overparameterizing such nonlinear systems and to use the least-squares algorithm to estimate the unknown parameter vectors. It is proved that the parameter estimates consistently converge to their true values under the persistent excitation condition. A simulation example is provided.http://dx.doi.org/10.1155/2012/684074 |
| spellingShingle | Weili Xiong Wei Fan Rui Ding Least-Squares Parameter Estimation Algorithm for a Class of Input Nonlinear Systems Journal of Applied Mathematics |
| title | Least-Squares Parameter Estimation Algorithm for a Class of Input Nonlinear Systems |
| title_full | Least-Squares Parameter Estimation Algorithm for a Class of Input Nonlinear Systems |
| title_fullStr | Least-Squares Parameter Estimation Algorithm for a Class of Input Nonlinear Systems |
| title_full_unstemmed | Least-Squares Parameter Estimation Algorithm for a Class of Input Nonlinear Systems |
| title_short | Least-Squares Parameter Estimation Algorithm for a Class of Input Nonlinear Systems |
| title_sort | least squares parameter estimation algorithm for a class of input nonlinear systems |
| url | http://dx.doi.org/10.1155/2012/684074 |
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