On input design in ℓ∞ conditional set membership identification

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.