Adaptive sampled-data integral control of stable infinite-dimensional linear systems

Z Q Ke; Hartmut Logemann; S Townley

doi:10.1016/j.sysconle.2008.10.015

Adaptive sampled-data integral control of stable infinite-dimensional linear systems

Z Q Ke, Hartmut Logemann, S Townley

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Abstract

In this paper, adaptive discrete-time low-gain integral control strategies are presented for tracking constant reference signals for infinite-dimensional discrete-time power-stable linear systems. The discrete-time results are applied in the development of adaptive sampled-data low-gain integral control of well-posed infinite-dimensional exponentially stable linear systems. Our results considerably extend, improve and simplify previous work by two of the authors [H. Logemann, S. Townley, Discrete-time low-gain control Of uncertain infinite-dimensional systems, IEEE Trans. Automat. Control 42 (1997) 22-37].

Original language	English
Pages (from-to)	233-240
Number of pages	8
Journal	Systems & Control Letters
Volume	58
Issue number	4
DOIs	https://doi.org/10.1016/j.sysconle.2008.10.015
Publication status	Published - Apr 2009

Keywords

systems
Infinite-dimensional
Adaptive tracking
control
Adaptive control
Integral
Low-gain control
Discrete-time systems
Sampled-data control

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10.1016/j.sysconle.2008.10.015

Logemann_SCL_2009_58_4_233.pdf
NOTICE: this is the author’s version of a work that was accepted for publication in Systems & Control Letters. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Systems & Control Letters, Volume 58, Issue 4, April 2009, DOI 10.1016/j.sysconle.2008.10.015
Accepted author manuscript, 2.03 MB

Cite this

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AU - Ke, Z Q

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AU - Townley, S

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AB - In this paper, adaptive discrete-time low-gain integral control strategies are presented for tracking constant reference signals for infinite-dimensional discrete-time power-stable linear systems. The discrete-time results are applied in the development of adaptive sampled-data low-gain integral control of well-posed infinite-dimensional exponentially stable linear systems. Our results considerably extend, improve and simplify previous work by two of the authors [H. Logemann, S. Townley, Discrete-time low-gain control Of uncertain infinite-dimensional systems, IEEE Trans. Automat. Control 42 (1997) 22-37].

KW - systems

KW - Infinite-dimensional

KW - Adaptive tracking

KW - control

KW - Adaptive control

KW - Integral

KW - Low-gain control

KW - Discrete-time systems

KW - Sampled-data control

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SP - 233

EP - 240

JO - Systems & Control Letters

JF - Systems & Control Letters

IS - 4

ER -

Adaptive sampled-data integral control of stable infinite-dimensional linear systems

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