Advanced Gauss Pseudospectral Method for Continuous-time Hammerstein System Identification
- 10.2991/iwmecs-15.2015.165How to use a DOI?
- Advanced Gauss Pseudospectral Method; Continuous-time Hammerstein System; Parameter Identification; Nonlinear Programming Problem
In the paper, an advanced Gauss pseudospectral method (AGPM) is proposed to estimate the parameters of the continuous-time (CT) Hammerstein model consisting of a CT linear block followed by a static nonlinearity. The basic idea of AGPM is to transcribe the CT identification problem into a discrete nonlinear programming problem (NLP), which can be solved with the well-developed sequential quadratic programming (SQP) algorithm. The nonlinear part of the Hammerstein system is approximated with the Gauss pseudospectral approximation method. The linear part is written as a controllable canonical form. AGPM can converge to the true values of the CT Hammerstein model with few interpolated Legendre-Gauss (LG) nodes. Lastly illustrative examples are proposed to verify the accuracy and efficiency of the method.
- © 2015, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Ying He AU - Ming-xiang Dai AU - Xin-min Yang AU - Wen-jun Yi PY - 2015/10 DA - 2015/10 TI - Advanced Gauss Pseudospectral Method for Continuous-time Hammerstein System Identification BT - Proceedings of the 2015 2nd International Workshop on Materials Engineering and Computer Sciences PB - Atlantis Press SP - 836 EP - 844 SN - 2352-538X UR - https://doi.org/10.2991/iwmecs-15.2015.165 DO - 10.2991/iwmecs-15.2015.165 ID - He2015/10 ER -