Weighted H optimization for stable infinite dimensional systems using finite dimensional techniques

Armando Rodriguez, Munther A. Dahleh

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

12 Citations (Scopus)

Abstract

An approximate/design approach is taken to the problem of designing near-optimal finite-dimensional compensators for scalar infinite dimensional plants. The criteria used to determine optimality are standard H weighted sensitivity and mixed-sensitivity measures. More specifically, it is shown that, given a 'suitable' finite-dimensional approximant for an infinite-dimensional plant, one can solve a 'natural' finite-dimensional problem to obtain a near-optimal finite-dimensional compensator. Moreover, very weak conditions are presented to indicate what a 'suitable' approximant is. In addition, it is shown that the optimal performance can be computed by solving a sequence of finite-dimensional eigenvalue/eigenvector problems rather than the typical infinite-dimensional eigenvalue/eigenfunction problem which appears in the literature.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherPubl by IEEE
Pages1814-1820
Number of pages7
Volume3
StatePublished - 1990
EventProceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6) - Honolulu, HI, USA
Duration: Dec 5 1990Dec 7 1990

Other

OtherProceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6)
CityHonolulu, HI, USA
Period12/5/9012/7/90

Fingerprint

Eigenvalues and eigenfunctions

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Rodriguez, A., & Dahleh, M. A. (1990). Weighted H optimization for stable infinite dimensional systems using finite dimensional techniques In Proceedings of the IEEE Conference on Decision and Control (Vol. 3, pp. 1814-1820). Publ by IEEE.

Weighted H optimization for stable infinite dimensional systems using finite dimensional techniques . / Rodriguez, Armando; Dahleh, Munther A.

Proceedings of the IEEE Conference on Decision and Control. Vol. 3 Publ by IEEE, 1990. p. 1814-1820.

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

Rodriguez, A & Dahleh, MA 1990, Weighted H optimization for stable infinite dimensional systems using finite dimensional techniques in Proceedings of the IEEE Conference on Decision and Control. vol. 3, Publ by IEEE, pp. 1814-1820, Proceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6), Honolulu, HI, USA, 12/5/90.
Rodriguez A, Dahleh MA. Weighted H optimization for stable infinite dimensional systems using finite dimensional techniques In Proceedings of the IEEE Conference on Decision and Control. Vol. 3. Publ by IEEE. 1990. p. 1814-1820
Rodriguez, Armando ; Dahleh, Munther A. / Weighted H optimization for stable infinite dimensional systems using finite dimensional techniques Proceedings of the IEEE Conference on Decision and Control. Vol. 3 Publ by IEEE, 1990. pp. 1814-1820
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