Composite control for singularly perturbed bilinear systems via successive Galerkin approximation

Y. J. Kim, B. S. Kim, Myo Taeg Lim

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

The authors present algorithms for the finite-time and infinite-time closed-loop composite control of singularly perturbed bilinear systems with respect to performance criteria, using the successive Galerkin approximation (SGA) method. The singularly perturbed bilinear system is decomposed into two subsystems of a slow-time scale and a fast-time scale via singular perturbation theory, and two optimal control laws are obtained for each subsystem by using the SGA method. Then the composite control law that consists of two optimal control laws for each subsystem is designed. The authors aim to design closed-loop composite control laws for the singularly perturbed bilinear systems via the SGA method. They also aim to reduce the computational complexity when the SGA method is applied to high-order systems.

Original languageEnglish
Pages (from-to)483-488
Number of pages6
JournalIEE Proceedings: Control Theory and Applications
Volume150
Issue number5
DOIs
Publication statusPublished - 2003 Sep 1

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composite materials
Composite materials
optimal control
approximation
perturbation theory
Computational complexity

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering
  • Instrumentation

Cite this

Composite control for singularly perturbed bilinear systems via successive Galerkin approximation. / Kim, Y. J.; Kim, B. S.; Lim, Myo Taeg.

In: IEE Proceedings: Control Theory and Applications, Vol. 150, No. 5, 01.09.2003, p. 483-488.

Research output: Contribution to journalArticle

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