A supervised discrete adaptive control scheme with multiestimation
type: Item
instance of: scholarly article
title: A supervised discrete adaptive control scheme with multiestimation
zbMATH Open document ID: 1074.93033
author: A. Bilbao-Guillerna
author: S. Alonso-Quesada
author: M. De la Sen
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2005-05-12T00:00:00Z
review text: A linear and time-invariant discrete plant is decomposed into a modeled part plus an unmodeled one that includes different amounts of unmodeled dynamics through the use of different models. \(N_{\varepsilon}\) adaptive estimators are considered depending on the different decompositions of the plant into a modeled part plus an unmodeled one. The closed-loop stability is guaranteed if the contribution of the unmodeled dynamics to the output is sufficiently small compared to that of the modeled part of the plant. Each adaptive estimator, which can be indexed by an integer \(i\in N_{\varepsilon}\), has a different dimension according to the number of poles and zeros of the modeled part. All the estimators are running at the same time and each of them parameterizes its corresponding adaptive controller. Then, a supervisory quality index related to the associated identification error and control effort is used to decide online which estimator/adaptive controller pair has to be selected at each time interval to control the plant. The main objective of this work is to show how the transient response and the performance in general of an unknown plant can be improved by using a multiestimation-based adaptive controller while guaranteeing the closed-loop stability. The main novelty of the proposed approach compared to previous ones is that the various estimation models are of different orders while the corresponding plant unmodeled dynamics is modified accordingly from an estimation model to another one. This permits the design accommodation to the dominant plant frequencies
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 93E12
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93A13
Mathematics Subject Classification ID: 93B12
zbMATH DE Number: 2167741
zbMATH Keywords: discrete adaptive control
zbMATH Keywords: multiestimation
zbMATH Keywords: switching techniques
zbMATH Keywords: supervisory control
zbMATH Keywords: multiple modelling
zbMATH Keywords: adaptive stabilization
zbMATH Keywords: identification
zbMATH Keywords: transient response
zbMATH Keywords: performance
zbMATH Keywords: dominant frequencies
Wikidata QID: Q57675563
reviewed by: M. P. Moklyachuk
MaRDI profile type: Publication
full work available at URL: j.cnsns.2004.03.005
OpenAlex ID: W2085597479
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DOI: 10.1016/J.CNSNS.2004.03.005
description: scientific article; zbMATH DE number 2167741