Adaptive Approximation of Uncertainty Sets for Linear Regression Models

A. Vicino and G. Zappa
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A. Vicino: Università degli Studi di Siena, Facoltà di Ingegneria
G. Zappa: Università di Firenze, Dipartimento di Sistemi e Informatica

Chapter 10 in Bounding Approaches to System Identification, 1996, pp 159-168 from Springer

Abstract: Abstract This chapter deals with the problem of uncertainty evaluation in linear regression models, representing either purely parametric models or mixed parametric/non-parametric (restricted complexity) models. The hypothesis is that disturbance information and prior knowledge on the unmodeled dynamics are available as deterministic bounds. A procedure is proposed for constructing recursively an outer bounding parallelotopic estimate of the parameter uncertainty set, which can be considered as an alternative description to commonly used ellipsoidal approximations. This new type of approximation is motivated by recent developments in the robust control field, where descriptions like hyperrectangular or polytopic domains have led to appealing stability and performance robustness properties of uncertain feedback systems.

Keywords: Linear Regression Model; Supporting Hyperplane; Unmodeled Dynamic; Ellipsoidal Approximation; Nonparametric Part (search for similar items in EconPapers)
Date: 1996
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DOI: 10.1007/978-1-4757-9545-5_10

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