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


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 publicationProceedings of the 16th IFAC World Congress, IFAC 2005
PublisherIFAC Secretariat
Number of pages6
ISBN (Print)008045108X, 9780080451084
Publication statusPublished - 2005
Externally publishedYes

Publication series

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


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

ASJC Scopus subject areas

  • Control and Systems Engineering


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