Abstract
This article presents a non-iterative method to identify a continuous-time Wiener model. The key idea is to describe the linear dynamics by a Laguerre expansion and approximate the static nonlinearity by an inverse polynomial function. The resulting least-squares estimator of the Laguerre and polynomial coefficients is thus obtainable in a non-iterative manner. To improve the estimation accuracy of both linear and nonlinear parts, an error criterion is developed to infer the proper values of the time-scaling factor and output reference value, which are crucial to the effectiveness of the Laguerre expansion and the polynomial function, respectively. The identified Wiener model can be easily employed to design a nonlinear controller for the Wiener process. It is demonstrated that the identification and control method is valid for a wide range of test conditions and process nonlinearities.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 12th IASTED International Conference on Control and Applications, CA 2010 |
| Pages | 523-529 |
| Number of pages | 7 |
| Publication status | Published - 2010 |
| Event | 12th IASTED International Conference on Control and Applications, CA 2010 - Banff, AB, Canada Duration: 2010 Jul 15 → 2010 Jul 17 |
Other
| Other | 12th IASTED International Conference on Control and Applications, CA 2010 |
|---|---|
| Country | Canada |
| City | Banff, AB |
| Period | 10-07-15 → 10-07-17 |
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All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
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A non-iterative method for identification and control of continuous-time wiener processes. / Hwang, Shyh-Hong; Chen, Ho Tsen.
Proceedings of the 12th IASTED International Conference on Control and Applications, CA 2010. 2010. p. 523-529.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
TY - GEN
T1 - A non-iterative method for identification and control of continuous-time wiener processes
AU - Hwang, Shyh-Hong
AU - Chen, Ho Tsen
PY - 2010
Y1 - 2010
N2 - This article presents a non-iterative method to identify a continuous-time Wiener model. The key idea is to describe the linear dynamics by a Laguerre expansion and approximate the static nonlinearity by an inverse polynomial function. The resulting least-squares estimator of the Laguerre and polynomial coefficients is thus obtainable in a non-iterative manner. To improve the estimation accuracy of both linear and nonlinear parts, an error criterion is developed to infer the proper values of the time-scaling factor and output reference value, which are crucial to the effectiveness of the Laguerre expansion and the polynomial function, respectively. The identified Wiener model can be easily employed to design a nonlinear controller for the Wiener process. It is demonstrated that the identification and control method is valid for a wide range of test conditions and process nonlinearities.
AB - This article presents a non-iterative method to identify a continuous-time Wiener model. The key idea is to describe the linear dynamics by a Laguerre expansion and approximate the static nonlinearity by an inverse polynomial function. The resulting least-squares estimator of the Laguerre and polynomial coefficients is thus obtainable in a non-iterative manner. To improve the estimation accuracy of both linear and nonlinear parts, an error criterion is developed to infer the proper values of the time-scaling factor and output reference value, which are crucial to the effectiveness of the Laguerre expansion and the polynomial function, respectively. The identified Wiener model can be easily employed to design a nonlinear controller for the Wiener process. It is demonstrated that the identification and control method is valid for a wide range of test conditions and process nonlinearities.
UR - http://www.scopus.com/inward/record.url?scp=84863382708&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84863382708&partnerID=8YFLogxK
M3 - Conference contribution
SN - 9780889868526
SP - 523
EP - 529
BT - Proceedings of the 12th IASTED International Conference on Control and Applications, CA 2010
ER -