Composite control for singularly perturbed bilinear systems with successive Galerkin approximation

Young Joong Kim, Beom Soo Kim, Myo Taeg Lim

Research output: Contribution to conferencePaper

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
Pages651-656
Number of pages6
Publication statusPublished - 2001
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

ASJC Scopus subject areas

  • Control and Systems Engineering

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    Kim, Y. J., Kim, B. S., & Lim, M. T. (2001). Composite control for singularly perturbed bilinear systems with successive Galerkin approximation. 651-656. Paper presented at Proceedings of the 2001 IEEE International Conference on Control Applications CCA '01, Mexico City, Mexico.