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)
PublisherIFAC Secretariat
Pages305-310
Number of pages6
Volume15
Edition1
Publication statusPublished - 2002
Event15th World Congress of the International Federation of Automatic Control, 2002 - Barcelona, Spain
Duration: 2002 Jul 212002 Jul 26

Other

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

Fingerprint

Closed loop systems
Controllers

Keywords

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

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Kim, B. S., Kim, Y. J., Lim, M. T., & Kim, B. (2002). Stabilizing control for discrete time multi-input bilinear systems. In IFAC Proceedings Volumes (IFAC-PapersOnline) (1 ed., Vol. 15, pp. 305-310). IFAC Secretariat.

Stabilizing control for discrete time multi-input bilinear systems. / Kim, Beom Soo; Kim, Young Joong; Lim, Myo Taeg; Kim, Byungwhan.

IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 15 1. ed. IFAC Secretariat, 2002. p. 305-310.

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

Kim, BS, Kim, YJ, Lim, MT & Kim, B 2002, Stabilizing control for discrete time multi-input bilinear systems. in IFAC Proceedings Volumes (IFAC-PapersOnline). 1 edn, vol. 15, IFAC Secretariat, pp. 305-310, 15th World Congress of the International Federation of Automatic Control, 2002, Barcelona, Spain, 02/7/21.
Kim BS, Kim YJ, Lim MT, Kim B. Stabilizing control for discrete time multi-input bilinear systems. In IFAC Proceedings Volumes (IFAC-PapersOnline). 1 ed. Vol. 15. IFAC Secretariat. 2002. p. 305-310
Kim, Beom Soo ; Kim, Young Joong ; Lim, Myo Taeg ; Kim, Byungwhan. / Stabilizing control for discrete time multi-input bilinear systems. IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 15 1. ed. IFAC Secretariat, 2002. pp. 305-310
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