A \(4(n+1)\)-dimensional model reference adaptive stabilizer for any relative degree one or two, minimum phase system of dimension n or less
type: Item
instance of: scholarly article
title: A \(4(n+1)\)-dimensional model reference adaptive stabilizer for any relative degree one or two, minimum phase system of dimension n or less
zbMATH Open document ID: 0619.93049
DOI: 10.1016/0005-1098(87)90122-1
published in: Automatica
publication date: 1987-01-01T00:00:00Z
review text: A 4(n\(+1)\)-dimensional model reference controller is presented which can perform the following two functions. First it stabilizes any single- input, single-output process. Then it forces the process output to track the output of a prespecified reference model. Here it is assumed that the process is restricted to the class of linear finite-dimensional causal systems which are stabilizable, of minimum phase, their relative degree not exceeding two and with a known upper bound of their dimensionality. The ideas presented here are identical to previous ones given by the author. Here the basic difference is that the control law incorporates both the reference model state and input. Thus model following is made possible with one algorithm for processes of relative degree 1 and 2.
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 4006108
zbMATH Keywords: adaptive stabilization
zbMATH Keywords: error tracking
zbMATH Keywords: \(4(n+1)\)-dimensional model reference controller
zbMATH Keywords: linear finite-dimensional causal systems
zbMATH Keywords: model following
author: A. Stephen Morse
MaRDI profile type: Publication
full work available at URL: 0005-1098(87)90122-1
OpenAlex ID: W2133024331
cites work: Adaptive control of single-input, single-output linear systems
cites work: Model reference adaptive control with an augmented error signal
cites work: Global stability of parameter-adaptive control systems
cites work: Q3342402
cites work: A three-dimensional universal controller for the adaptive stabilization of any strictly proper minimum-phase system with relative degree not exceeding two
description: scientific article; zbMATH DE number 4006108