Brief paper: Efficient computation of l1 uncertainty model from an impulse response set

Authors:
Marco Casini;Andrea Garulli;Antonio Vicino
Affiliations:
Dipartimento di Ingegneria dell'Informazione, Universití di Siena, Via Roma 56, 53100 Siena, Italy;Dipartimento di Ingegneria dell'Informazione, Universití di Siena, Via Roma 56, 53100 Siena, Italy;Dipartimento di Ingegneria dell'Informazione, Universití di Siena, Via Roma 56, 53100 Siena, Italy
Venue:
Automatica (Journal of IFAC)
Year:
2008

Citing 3
Cited 0

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Control of uncertain systems: a linear programming approach
Worst-case control-relevant identification

Automatica (Journal of IFAC) - Special issue on trends in system identification
System identification with generalized orthonormal basis functions

Automatica (Journal of IFAC) - Special issue on trends in system identification

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Abstract

In this paper the problem of constructing the minimum @?"1 uncertainty model containing a finite set of assigned models is addressed. This problem is relevant to @?"1 robust control design techniques, in order to minimize the size of the uncertainty set associated to the nominal plant. The problem is formulated as a (conditional) Chebyshev center problem and an algorithm for its solution is proposed. The algorithm converges in a finite number of steps showing computational efficiency for large size problems.