Nonlinear control of diffusion processes with uncertain parameters using MRAC approach

Keum Shik Hong; Joseph Bentsman

doi:10.23919/acc.1992.4792322

Nonlinear control of diffusion processes with uncertain parameters using MRAC approach

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this work a nonlinear controller for controlling diffusion processes with uncertain parameters is derived by using model reference adaptive control (MRAC) approach. The diffusion processes are described by linear, two-dimensional, parabolic partial differential equations. It is assumed that the uncertain parameters which appear only in the system equation are either constant or spatially-varying, and that distributed sensing and actuation are available. The nonlinear control laws are obtained by the Lyapunov redesign method. The exponential stability of the closed loop system is shown by applying averaging theorems.

Original language	English (US)
Title of host publication	Proceedings of the American Control Conference
Publisher	Publ by American Automatic Control Council
Pages	1343-1347
Number of pages	5
ISBN (Print)	0780302109, 9780780302105
DOIs	https://doi.org/10.23919/acc.1992.4792322
State	Published - 1992
Event	Proceedings of the 1992 American Control Conference - Chicago, IL, USA Duration: Jun 24 1992 → Jun 26 1992

Publication series

Name	Proceedings of the American Control Conference
Volume	2
ISSN (Print)	0743-1619

Other

Other	Proceedings of the 1992 American Control Conference
City	Chicago, IL, USA
Period	6/24/92 → 6/26/92

ASJC Scopus subject areas

Electrical and Electronic Engineering

Online availability

10.23919/acc.1992.4792322

Library availability

Discover UIUC Full Text

Cite this

Nonlinear control of diffusion processes with uncertain parameters using MRAC approach. / Hong, Keum Shik; Bentsman, Joseph.
Proceedings of the American Control Conference. Publ by American Automatic Control Council, 1992. p. 1343-1347 (Proceedings of the American Control Conference; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Hong, KS & Bentsman, J 1992, Nonlinear control of diffusion processes with uncertain parameters using MRAC approach. in Proceedings of the American Control Conference. Proceedings of the American Control Conference, vol. 2, Publ by American Automatic Control Council, pp. 1343-1347, Proceedings of the 1992 American Control Conference, Chicago, IL, USA, 6/24/92. https://doi.org/10.23919/acc.1992.4792322

@inproceedings{f1d536978bf64852bc328b6795c7d7ca,

title = "Nonlinear control of diffusion processes with uncertain parameters using MRAC approach",

abstract = "In this work a nonlinear controller for controlling diffusion processes with uncertain parameters is derived by using model reference adaptive control (MRAC) approach. The diffusion processes are described by linear, two-dimensional, parabolic partial differential equations. It is assumed that the uncertain parameters which appear only in the system equation are either constant or spatially-varying, and that distributed sensing and actuation are available. The nonlinear control laws are obtained by the Lyapunov redesign method. The exponential stability of the closed loop system is shown by applying averaging theorems.",

author = "Hong, {Keum Shik} and Joseph Bentsman",

year = "1992",

doi = "10.23919/acc.1992.4792322",

language = "English (US)",

isbn = "0780302109",

series = "Proceedings of the American Control Conference",

publisher = "Publ by American Automatic Control Council",

pages = "1343--1347",

booktitle = "Proceedings of the American Control Conference",

note = "Proceedings of the 1992 American Control Conference ; Conference date: 24-06-1992 Through 26-06-1992",

}

TY - GEN

T1 - Nonlinear control of diffusion processes with uncertain parameters using MRAC approach

AU - Hong, Keum Shik

AU - Bentsman, Joseph

PY - 1992

Y1 - 1992

N2 - In this work a nonlinear controller for controlling diffusion processes with uncertain parameters is derived by using model reference adaptive control (MRAC) approach. The diffusion processes are described by linear, two-dimensional, parabolic partial differential equations. It is assumed that the uncertain parameters which appear only in the system equation are either constant or spatially-varying, and that distributed sensing and actuation are available. The nonlinear control laws are obtained by the Lyapunov redesign method. The exponential stability of the closed loop system is shown by applying averaging theorems.

AB - In this work a nonlinear controller for controlling diffusion processes with uncertain parameters is derived by using model reference adaptive control (MRAC) approach. The diffusion processes are described by linear, two-dimensional, parabolic partial differential equations. It is assumed that the uncertain parameters which appear only in the system equation are either constant or spatially-varying, and that distributed sensing and actuation are available. The nonlinear control laws are obtained by the Lyapunov redesign method. The exponential stability of the closed loop system is shown by applying averaging theorems.

UR - http://www.scopus.com/inward/record.url?scp=0027046227&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027046227&partnerID=8YFLogxK

U2 - 10.23919/acc.1992.4792322

DO - 10.23919/acc.1992.4792322

M3 - Conference contribution

AN - SCOPUS:0027046227

SN - 0780302109

SN - 9780780302105

T3 - Proceedings of the American Control Conference

SP - 1343

EP - 1347

BT - Proceedings of the American Control Conference

PB - Publ by American Automatic Control Council

T2 - Proceedings of the 1992 American Control Conference

Y2 - 24 June 1992 through 26 June 1992

ER -

Nonlinear control of diffusion processes with uncertain parameters using MRAC approach

Abstract

Publication series

Other

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this