Abstract | ||
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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. |
Year | DOI | Venue |
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2012 | 10.1155/2012/684074 | JOURNAL OF APPLIED MATHEMATICS |
Field | DocType | Volume |
Least squares,Autoregressive–moving-average model,Autoregressive model,Mathematical optimization,Parameter estimation algorithm,Nonlinear autoregressive exogenous model,Nonlinear system,STAR model,Mathematics | Journal | 2012 |
Issue | ISSN | Citations |
null | 1110-757X | 7 |
PageRank | References | Authors |
0.47 | 41 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Weili Xiong | 1 | 28 | 5.92 |
Wei Fan | 2 | 7 | 0.47 |
Rui Ding | 3 | 297 | 36.06 |