Adaptive control of discrete linear time varying systems

Duan Guangren; Wu Guangyu

Adaptive control of discrete linear time varying systems

Duan Guangren^*
, Wu Guangyu

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

Research output: Contribution to journal › Conference article › peer-review

Abstract

In this paper, global uniform asymptotical stability for an adaptive controller applied to discrete linear time varying systems subject to unmodelled dynamics is established by using a proposed stability robustness result, under the condition that the parameters of the system vary within a known convex compact set C, and the unmodelled dynamics is bounded by the product of a constant number c and the norm of the regression vector. It is proved that the adaptive control algorithm is globally stable provided that this constant number c and the 'volume' of set C are sufficiently small.

Original language	English
Pages (from-to)	135-138
Number of pages	4
Journal	National Conference Publication - Institution of Engineers, Australia
Issue number	88-15
State	Published - 1988
Event	1988 IFAC Workshop on Robust Adaptive Control - Newcastle, Aust Duration: 22 Aug 1988 → 24 Aug 1988

Cite this

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title = "Adaptive control of discrete linear time varying systems",

abstract = "In this paper, global uniform asymptotical stability for an adaptive controller applied to discrete linear time varying systems subject to unmodelled dynamics is established by using a proposed stability robustness result, under the condition that the parameters of the system vary within a known convex compact set C, and the unmodelled dynamics is bounded by the product of a constant number c and the norm of the regression vector. It is proved that the adaptive control algorithm is globally stable provided that this constant number c and the 'volume' of set C are sufficiently small.",

author = "Duan Guangren and Wu Guangyu",

year = "1988",

language = "英语",

pages = "135--138",

journal = "National Conference Publication - Institution of Engineers, Australia",

issn = "0313-6922",

number = "88-15",

note = "1988 IFAC Workshop on Robust Adaptive Control ; Conference date: 22-08-1988 Through 24-08-1988",

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TY - JOUR

T1 - Adaptive control of discrete linear time varying systems

AU - Guangren, Duan

AU - Guangyu, Wu

PY - 1988

Y1 - 1988

N2 - In this paper, global uniform asymptotical stability for an adaptive controller applied to discrete linear time varying systems subject to unmodelled dynamics is established by using a proposed stability robustness result, under the condition that the parameters of the system vary within a known convex compact set C, and the unmodelled dynamics is bounded by the product of a constant number c and the norm of the regression vector. It is proved that the adaptive control algorithm is globally stable provided that this constant number c and the 'volume' of set C are sufficiently small.

AB - In this paper, global uniform asymptotical stability for an adaptive controller applied to discrete linear time varying systems subject to unmodelled dynamics is established by using a proposed stability robustness result, under the condition that the parameters of the system vary within a known convex compact set C, and the unmodelled dynamics is bounded by the product of a constant number c and the norm of the regression vector. It is proved that the adaptive control algorithm is globally stable provided that this constant number c and the 'volume' of set C are sufficiently small.

UR - https://www.scopus.com/pages/publications/0024168686

M3 - 会议文章

AN - SCOPUS:0024168686

SN - 0313-6922

SP - 135

EP - 138

JO - National Conference Publication - Institution of Engineers, Australia

JF - National Conference Publication - Institution of Engineers, Australia

IS - 88-15

T2 - 1988 IFAC Workshop on Robust Adaptive Control

Y2 - 22 August 1988 through 24 August 1988

ER -

Adaptive control of discrete linear time varying systems

Abstract

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