In set membership estimation, conditional problems arise when the estimate must belong to a given set of assigned structure. Conditional projection algorithms provide estimates that are suboptimal in. terms of the worst-case estimation error. In order to precisely evaluate the suboptimality level of these estimators, tight upper bounds on the estimation errors must be computed as a function of the conditional radius of information, which represents the minimum achievable error. In this paper, tight bounds are derived for l(infinity) and l(1) estimation errors, in a general setting which allows to consider any compact set of feasible problem elements and linearly parameterized estimates.

Garulli, A. (1999). Tight error bounds for projection algorithms in conditional set membership estimation. SYSTEMS & CONTROL LETTERS, 37, 293-300 [10.1016/S0167-6911(99)00034-1].

Tight error bounds for projection algorithms in conditional set membership estimation

GARULLI, ANDREA
1999-01-01

Abstract

In set membership estimation, conditional problems arise when the estimate must belong to a given set of assigned structure. Conditional projection algorithms provide estimates that are suboptimal in. terms of the worst-case estimation error. In order to precisely evaluate the suboptimality level of these estimators, tight upper bounds on the estimation errors must be computed as a function of the conditional radius of information, which represents the minimum achievable error. In this paper, tight bounds are derived for l(infinity) and l(1) estimation errors, in a general setting which allows to consider any compact set of feasible problem elements and linearly parameterized estimates.
1999
Garulli, A. (1999). Tight error bounds for projection algorithms in conditional set membership estimation. SYSTEMS & CONTROL LETTERS, 37, 293-300 [10.1016/S0167-6911(99)00034-1].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/28420
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo