Stabilizing control for discrete time multi-input bilinear systems

Beom Soo Kim, Young Joong Kim, Myo Taeg Lim, Byungwhan Kim

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

5 Citations (Scopus)

Abstract

This paper presents two stabilizing control methods for discrete time bilinear systems. One is a stabilizing controller for single input systems, and the other is a generalized stabilizing control method for discrete time multi-input bilinear systems. The proposed control methods guarantee the stability for each closed loop systems with single-input case and multi-input case, respectively. This paper introduces a lemma used to extend the stabilizing control method which is useful to represent any bilinear systems as pure differential (difference) matrix equations. The proposed algorithms are verified by a numerical example.

Original languageEnglish
Title of host publicationIFAC Proceedings Volumes (IFAC-PapersOnline)
EditorsGabriel Ferrate, Eduardo F. Camacho, Luis Basanez, Juan. A. de la Puente
PublisherIFAC Secretariat
Pages305-310
Number of pages6
Edition1
ISBN (Print)9783902661746
DOIs
Publication statusPublished - 2002
Event15th World Congress of the International Federation of Automatic Control, 2002 - Barcelona, Spain
Duration: 2002 Jul 212002 Jul 26

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1
Volume15
ISSN (Print)1474-6670

Other

Other15th World Congress of the International Federation of Automatic Control, 2002
CountrySpain
CityBarcelona
Period02/7/2102/7/26

Keywords

  • Bilinear systems
  • Discrete-time systems
  • Lyapunov methods
  • Multi-input systems
  • Stabilization methods

ASJC Scopus subject areas

  • Control and Systems Engineering

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  • Cite this

    Kim, B. S., Kim, Y. J., Lim, M. T., & Kim, B. (2002). Stabilizing control for discrete time multi-input bilinear systems. In G. Ferrate, E. F. Camacho, L. Basanez, & J. A. de la Puente (Eds.), IFAC Proceedings Volumes (IFAC-PapersOnline) (1 ed., pp. 305-310). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 15, No. 1). IFAC Secretariat. https://doi.org/10.3182/20020721-6-es-1901.01122