Title :
On optimal input design in conditional set membership identification
Author :
Casini, Marco ; Garulli, Andrea ; Vicino, Antonio
Author_Institution :
Dipt. di Ingegneria dell´´Informazione, Siena Univ., Italy
Abstract :
This paper deals with optimal input design in conditional set membership identification. The problem is how to choose the input signal in order to minimize the global worst-case identification error. A characterization of the l∞ identification error is provided, showing that the optimal input is the one that minimizes the l∞ radius of a suitable set. Moreover, sufficient conditions under which the impulse input is optimal are given.
Keywords :
design; errors; identification; large-scale systems; set theory; complex infinite dimensional space; conditional set membership identification; global worst-case identification error; impulse input; l∞ identification error; l∞ radius; optimal input design; Equations; Parameter estimation; Robustness; Signal processing; Sufficient conditions; System identification;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272394