This paper deals with 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 provided.
Casini, M., Garulli, A., Vicino, A. (2006). On Input Design in l(infinity) Conditional Set Membership Identification. AUTOMATICA, 42(5), 815-823 [10.1016/j.automatica.2006.01.006].
On Input Design in l(infinity) Conditional Set Membership Identification
CASINI, MARCO;GARULLI, ANDREA;VICINO, ANTONIO
2006-01-01
Abstract
This paper deals with 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 provided.
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https://hdl.handle.net/11365/19009
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