A note on the model reference adaptive control of linear parabolic systems with constant coefficients

Chaohua Jia

doi:10.1007/s11424-011-0042-9

A note on the model reference adaptive control of linear parabolic systems with constant coefficients

Chaohua Jia^*

^*Corresponding author for this work

School of Mathematical Sciences

Key Laboratory of Precision Opto-Mechatronics Technology (Ministry of Education)

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The problem of constructing a model reference adaptive control law for an uncertain 1-dimensional parabolic system with one constant coefficient is considered in this paper. Adaptive control law are obtained by Lyapunov redesign method. The energy method for parabolic systems and the Agmon's inequality are applied in the analysis, which leads to a stronger result than that of Hong and Bentsman (Automatica, 1994).

Original language	English
Pages (from-to)	1110-1117
Number of pages	8
Journal	Journal of Systems Science and Complexity
Volume	24
Issue number	6
DOIs	https://doi.org/10.1007/s11424-011-0042-9
State	Published - Dec 2011

Keywords

Adaptive law
distributed parameter systems
model reference adaptive control
parabolic system

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10.1007/s11424-011-0042-9

Cite this

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title = "A note on the model reference adaptive control of linear parabolic systems with constant coefficients",

abstract = "The problem of constructing a model reference adaptive control law for an uncertain 1-dimensional parabolic system with one constant coefficient is considered in this paper. Adaptive control law are obtained by Lyapunov redesign method. The energy method for parabolic systems and the Agmon's inequality are applied in the analysis, which leads to a stronger result than that of Hong and Bentsman (Automatica, 1994).",

keywords = "Adaptive law, distributed parameter systems, model reference adaptive control, parabolic system",

author = "Chaohua Jia",

year = "2011",

month = dec,

doi = "10.1007/s11424-011-0042-9",

language = "英语",

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pages = "1110--1117",

journal = "Journal of Systems Science and Complexity",

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AU - Jia, Chaohua

PY - 2011/12

Y1 - 2011/12

N2 - The problem of constructing a model reference adaptive control law for an uncertain 1-dimensional parabolic system with one constant coefficient is considered in this paper. Adaptive control law are obtained by Lyapunov redesign method. The energy method for parabolic systems and the Agmon's inequality are applied in the analysis, which leads to a stronger result than that of Hong and Bentsman (Automatica, 1994).

AB - The problem of constructing a model reference adaptive control law for an uncertain 1-dimensional parabolic system with one constant coefficient is considered in this paper. Adaptive control law are obtained by Lyapunov redesign method. The energy method for parabolic systems and the Agmon's inequality are applied in the analysis, which leads to a stronger result than that of Hong and Bentsman (Automatica, 1994).

KW - Adaptive law

KW - distributed parameter systems

KW - model reference adaptive control

KW - parabolic system

UR - https://www.scopus.com/pages/publications/82755170506

U2 - 10.1007/s11424-011-0042-9

DO - 10.1007/s11424-011-0042-9

M3 - 文章

AN - SCOPUS:82755170506

SN - 1009-6124

VL - 24

SP - 1110

EP - 1117

JO - Journal of Systems Science and Complexity

JF - Journal of Systems Science and Complexity

IS - 6

ER -

A note on the model reference adaptive control of linear parabolic systems with constant coefficients

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Keywords

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