H and H2 optimal controllers for periodic and multi-rate systems

Petros G. Voulgaris, Munther A. Dahleh, Lena S. Valavani

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

Abstract

The solutions to the optimal l2 to l2 disturbance rejection problem (H) as well as to the LQG (linear quadratic Gaussian) (H2) problem in periodic systems using the lifting technique are presented. Both problems involve a causality condition on the optimal LTI (linear time invariant) compensator when viewed in the lifted domain. The H problem is solved using the Nehari's theorem, whereas in the H2 problem the solution is obtained using the projection theorem in Hilbert spaces. The authors demonstrate that exactly the same method of solution to the H and H2 problems in periodic systems applies when considering the same problems in multirate sampled data systems.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherPubl by IEEE
Pages214-216
Number of pages3
ISBN (Print)0780304500
StatePublished - Jan 1992
Externally publishedYes
EventProceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3) - Brighton, Engl
Duration: Dec 11 1991Dec 13 1991

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

OtherProceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3)
CityBrighton, Engl
Period12/11/9112/13/91

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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