Composite control for singularly perturbed bilinear systems with successive Galerkin approximation

Young Joong Kim, Beom S. Kim, Myo Taeg Lim

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

This paper presents the closed-loop composite control of singularly perturbed bilinear systems with a quadratic performance criterion, using a successive Galerkin approximation (SGA). The singularly perturbed bilinear system is decomposed into two subsystems of a slow-time and fast-time scale by the singular perturbation theory, and we obtain feedback control laws from each subsystem using SGA. We design the composite control law that consists of two optimal control laws of each subsystem. One of the purpose of this paper is to design the closed-loop composite controller of singularly perturbed bilinear systems with SGA method. The other is to reduce the disadvantages of SGA method.

Original languageEnglish
Title of host publicationIEEE Conference on Control Applications - Proceedings
Pages651-656
Number of pages6
Publication statusPublished - 2001 Dec 1
EventProceedings of the 2001 IEEE International Conference on Control Applications CCA '01 - Mexico City, Mexico
Duration: 2001 Sep 52001 Sep 7

Other

OtherProceedings of the 2001 IEEE International Conference on Control Applications CCA '01
CountryMexico
CityMexico City
Period01/9/501/9/7

Fingerprint

Composite materials
Feedback control
Controllers

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Kim, Y. J., Kim, B. S., & Lim, M. T. (2001). Composite control for singularly perturbed bilinear systems with successive Galerkin approximation. In IEEE Conference on Control Applications - Proceedings (pp. 651-656)

Composite control for singularly perturbed bilinear systems with successive Galerkin approximation. / Kim, Young Joong; Kim, Beom S.; Lim, Myo Taeg.

IEEE Conference on Control Applications - Proceedings. 2001. p. 651-656.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kim, YJ, Kim, BS & Lim, MT 2001, Composite control for singularly perturbed bilinear systems with successive Galerkin approximation. in IEEE Conference on Control Applications - Proceedings. pp. 651-656, Proceedings of the 2001 IEEE International Conference on Control Applications CCA '01, Mexico City, Mexico, 01/9/5.
Kim YJ, Kim BS, Lim MT. Composite control for singularly perturbed bilinear systems with successive Galerkin approximation. In IEEE Conference on Control Applications - Proceedings. 2001. p. 651-656
Kim, Young Joong ; Kim, Beom S. ; Lim, Myo Taeg. / Composite control for singularly perturbed bilinear systems with successive Galerkin approximation. IEEE Conference on Control Applications - Proceedings. 2001. pp. 651-656
@inproceedings{67a3e3868fff4c3283ae8523965af7ba,
title = "Composite control for singularly perturbed bilinear systems with successive Galerkin approximation",
abstract = "This paper presents the closed-loop composite control of singularly perturbed bilinear systems with a quadratic performance criterion, using a successive Galerkin approximation (SGA). The singularly perturbed bilinear system is decomposed into two subsystems of a slow-time and fast-time scale by the singular perturbation theory, and we obtain feedback control laws from each subsystem using SGA. We design the composite control law that consists of two optimal control laws of each subsystem. One of the purpose of this paper is to design the closed-loop composite controller of singularly perturbed bilinear systems with SGA method. The other is to reduce the disadvantages of SGA method.",
author = "Kim, {Young Joong} and Kim, {Beom S.} and Lim, {Myo Taeg}",
year = "2001",
month = "12",
day = "1",
language = "English",
pages = "651--656",
booktitle = "IEEE Conference on Control Applications - Proceedings",

}

TY - GEN

T1 - Composite control for singularly perturbed bilinear systems with successive Galerkin approximation

AU - Kim, Young Joong

AU - Kim, Beom S.

AU - Lim, Myo Taeg

PY - 2001/12/1

Y1 - 2001/12/1

N2 - This paper presents the closed-loop composite control of singularly perturbed bilinear systems with a quadratic performance criterion, using a successive Galerkin approximation (SGA). The singularly perturbed bilinear system is decomposed into two subsystems of a slow-time and fast-time scale by the singular perturbation theory, and we obtain feedback control laws from each subsystem using SGA. We design the composite control law that consists of two optimal control laws of each subsystem. One of the purpose of this paper is to design the closed-loop composite controller of singularly perturbed bilinear systems with SGA method. The other is to reduce the disadvantages of SGA method.

AB - This paper presents the closed-loop composite control of singularly perturbed bilinear systems with a quadratic performance criterion, using a successive Galerkin approximation (SGA). The singularly perturbed bilinear system is decomposed into two subsystems of a slow-time and fast-time scale by the singular perturbation theory, and we obtain feedback control laws from each subsystem using SGA. We design the composite control law that consists of two optimal control laws of each subsystem. One of the purpose of this paper is to design the closed-loop composite controller of singularly perturbed bilinear systems with SGA method. The other is to reduce the disadvantages of SGA method.

UR - http://www.scopus.com/inward/record.url?scp=0035694769&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035694769&partnerID=8YFLogxK

M3 - Conference contribution

SP - 651

EP - 656

BT - IEEE Conference on Control Applications - Proceedings

ER -