Title :
General orthonormal bases for robust identification in H∞
Author_Institution :
Dept. of Electr. & Electron. Eng., Anadolu Univ., Eskisehir, Turkey
Abstract :
In this paper, the problem of system identification in H∞ with general orthonormal basis functions is investigated. A two-stage algorithm is shown to be robust, provided that the number of basis elements as a function of the amount of data does not increase faster than O(N25/). Worst-case identification error bounds in the H∞ norm are derived. The algorithm also works on nonuniformly spaced frequency response measurements.
Keywords :
Fourier series; H∞ control; frequency response; parameter estimation; H∞ control; general orthonormal bases; general orthonormal basis functions; nonuniformly spaced frequency response measurements; robust identification; system identification; two-stage algorithm; worst-case identification error bounds; Convergence; Frequency measurement; Frequency response; Hilbert space; Robust control; Robustness; System identification; Time domain analysis;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184233
