Model Structure Selection in Identification for Control

Abstract A mixed parametric - nonparametric approach to H ∞ identification is proposed, aimed to estimate a model and an identification error giving a measure of the model perturbation in a form well suited for H ∞ control methodologies. In this paper the case of frequency domain experimental data is developed. It is shown how to estimate the modeling errors of the identified parametric model and how to evaluate the performance values that can be guaranteed when the H ∞ controller is designed and applied to the real system. This performance value is then used for selecting the most "suitable" order of the parametric model class.

[1]  Guoxiang Gu,et al.  A class of algorithms for identification in H∞ , 1992, Autom..

[2]  Massimo Canale,et al.  Model quality evaluation in identification for control , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[3]  Carl N. Nett,et al.  Control oriented system identification: a worst-case/deterministic approach in H/sub infinity / , 1991 .

[4]  B. Wahlberg.  System identification using Laguerre models , 1991 .

[5]  Michael Green,et al.  Discrete-time H/sup infinity / control , 1989, Proceedings of the 28th IEEE Conference on Decision and Control,.

[6]  Antonio Vicino,et al.  Information-Based Complexity and Nonparametric Worst-Case System Identification , 1993, J. Complex..

[7]  Graham C. Goodwin,et al.  Estimated Transfer Functions with Application to Model Order Selection , 1992 .

[8]  Ruud J. P. Schrama.  Accurate identification for control: the necessity of an iterative scheme , 1992 .

[9]  Pertti M. Mäkilä,et al.  On identification of stable systems and optimal approximation , 1991, Autom..

[10]  J. Partington.  Robust identification and interpolation in H , 1991 .

[11]  Antonio Vicino,et al.  Optimal estimation theory for dynamic systems with set membership uncertainty: An overview , 1991, Autom..

[12]  C. E. Rohrs,et al.  Identification with nonparametric uncertainty , 1992 .

[13]  Yakov Z. Tsypkin,et al.  Robust identification , 1980, Autom..

[14]  L. Ljung,et al.  Hard frequency-domain model error bounds from least-squares like identification techniques , 1992 .

[15]  Michael Green,et al.  Discrete time H∞ control , 1989 .

[16]  G. Zames,et al.  Fast identification n-widths and uncertainty principles for LTI and slowly varying systems , 1994, IEEE Trans. Autom. Control..

[17]  M. Milanese,et al.  Uniform approximation of systems: A Banach space approach , 1973 .

[18]  Mario Milanese,et al.  SM system identification with approximated models , 1996 .