Noise tolerant identification of continuous-time systems with unknown constant input disturbance usi
System Identification, Volume # 14 | Part# 1
Authors
Tae-Hyoung Kim; Xiaoguang Zheng; Toshiharu Sugie
Identifier
10.3182/20060329-3-AU-2901.00135
Index Terms
continuous-time systems,system identification,identificationalgorithm,learning control,measurement noise
Abstract
This paper considers the problem of noise tolerant identification of a class of continuous-time systems with unknown constant-input disturbance. To this aim, we first propose an extended formulation of identification method using iterative learning control (ILC) scheme based on sampled I/O data in the presence of measurement noise. The proposed ILC method has distinctive features as follows. Its learning law works in the prescribed finite dimensional parameter space and employs I/O data of all past trials efficiently. Also the time-derivative of tracking error is not required. Then, it is presented how the parameter estimation can be achieved by the proposed ILC method and how robust it is against measurement noise through numerical examples.
References
[1] Garnier, H., M. Gilson and E. Husestein (2004).
Developments for the matlab contsid toolbox.
Proc. of the 13th IFAC Symposium on System
Identification.
[2] Hamamoto, K. and T. Sugie (2001). An iterative
learning control algorithm within prescribed
input-output subspace. Automatica 37, 1803-
1809.
[3] Sakai, F. and T. Sugie (2005a). Continuous-time
systems identification based on iterative
learning control. Proc. of the 16th IFAC
World Congress.
[4] Sakai, F. and T. Sugie (2005b). Noise tolerant iterative
learning control for identification of
continuous-time systems. Proc. of the 44th
IEEE Conf. Decision and Control (to appear)
.
[5] Sinha, N. K. and G. P. Rao (1991). Identification of
continuous-time systems. Kluwer Academic
Publishers. Dordrecht.
[6] Unbehauen, H. and G. P. Rao (1990). Continuous-time
approaches to system identification-a
survey. Automatica 26, 23-35.
[7] Young, P. (1981). Parameter estimation for
continuous-time models-a survey. Automatica
17, 23-39.
