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.
Casini, M., Garulli, A., Vicino, A. (2003). On Optimal Input Design in Conditional Set Membership Identification. In Proc. 42nd IEEE Conf. on Decision and Control (pp.6497-6502) [10.1109/CDC.2003.1272394].
On Optimal Input Design in Conditional Set Membership Identification
CASINI, MARCO;GARULLI, ANDREA;VICINO, ANTONIO
2003-01-01
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.
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https://hdl.handle.net/11365/4908
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