Title :
SM identification of approximating models for H∞ robust control
Author :
Giarré, L. ; Milanese, M.
Author_Institution :
Dipartimento di Autom. e Inf., Politecnico di Torino, Italy
Abstract :
Set membership (SM) H∞ identification of mixed parametric and nonparametric models is investigated, which aims to estimate a low order approximating model and an identification error, giving a measure of the unmodeled dynamics in a form well suited for H ∞ control methodologies. In particular, the problem of estimating the parameters of the parametric part and the H∞ bound on the modeling error is solved using frequency domain data, supposing l∞ bounded measurement errors and exponentially stable unmodeled dynamics. The effectiveness of the proposed procedure is tested on some numerical examples, showing the advantages of the proposed methods over the existing nonparametric H∞ identification approaches are shown, in terms of lower model order and of tightness in the modeling error bounds
Keywords :
Banach spaces; H∞ control; discrete time systems; dynamics; frequency-domain analysis; identification; linear systems; robust control; Banach space; H∞ control; discrete time systems; frequency domain; identification; linear time invariant systems; modeling error bounds; parameter estimation; robust control; set membership; unmodeled dynamics; Differential equations; Electronic mail; Error correction; Frequency domain analysis; Robust control; Samarium; System identification; System testing; Transfer functions; Uncertainty;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.577442