Explicit hybrid optimal controller for disturbance attenuation in linear hybrid systems

Hai Lin, Guisheng Zhai, Panos J. Antsaklis

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

Abstract

in this paper, the disturbance attenuation properties for classes of linear hybrid systems perturbed by exterior disturbances are investigated, and a hybrid l1 robust optimal control problem is studied. First, a procedure is developed to determine the minimal l induced gain of linear hybrid systems. However, for general hybrid systems, the termination of the procedure is not guaranteed. Then, the decidability issues are briefly discussed. Finally, we study the robust l1 optimal controller synthesis problem. It is shown that the optimal performance level can be achieved by a piecewise linear state feedback control law for the linear hybrid systems, and a systematic approach to design such feedback control is proposed.

Original languageEnglish
Title of host publicationIFAC Proceedings Volumes (IFAC-PapersOnline)
Pages301-306
Number of pages6
Volume16
Publication statusPublished - 2005
Externally publishedYes
Event16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005 - Prague
Duration: 2005 Jul 32005 Jul 8

Other

Other16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005
CityPrague
Period05/7/305/7/8

Fingerprint

Hybrid systems
Controllers
Feedback control
Computability and decidability
State feedback

Keywords

  • Disturbance rejection
  • Hybrid systems
  • Piecewise linear controllers
  • Robust performance
  • State feedback

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Lin, H., Zhai, G., & Antsaklis, P. J. (2005). Explicit hybrid optimal controller for disturbance attenuation in linear hybrid systems. In IFAC Proceedings Volumes (IFAC-PapersOnline) (Vol. 16, pp. 301-306)

Explicit hybrid optimal controller for disturbance attenuation in linear hybrid systems. / Lin, Hai; Zhai, Guisheng; Antsaklis, Panos J.

IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 16 2005. p. 301-306.

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

Lin, H, Zhai, G & Antsaklis, PJ 2005, Explicit hybrid optimal controller for disturbance attenuation in linear hybrid systems. in IFAC Proceedings Volumes (IFAC-PapersOnline). vol. 16, pp. 301-306, 16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005, Prague, 05/7/3.
Lin H, Zhai G, Antsaklis PJ. Explicit hybrid optimal controller for disturbance attenuation in linear hybrid systems. In IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 16. 2005. p. 301-306
Lin, Hai ; Zhai, Guisheng ; Antsaklis, Panos J. / Explicit hybrid optimal controller for disturbance attenuation in linear hybrid systems. IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 16 2005. pp. 301-306
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AB - in this paper, the disturbance attenuation properties for classes of linear hybrid systems perturbed by exterior disturbances are investigated, and a hybrid l1 robust optimal control problem is studied. First, a procedure is developed to determine the minimal l∞ induced gain of linear hybrid systems. However, for general hybrid systems, the termination of the procedure is not guaranteed. Then, the decidability issues are briefly discussed. Finally, we study the robust l1 optimal controller synthesis problem. It is shown that the optimal performance level can be achieved by a piecewise linear state feedback control law for the linear hybrid systems, and a systematic approach to design such feedback control is proposed.

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