H optimization for stable multivariable infinite-dimensional systems

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

2 Scopus citations

Abstract

This paper considers the problem of designing near-optimal finite-dimensional compensators for stable multiple-input multiple-output (MIMO) distributed parameter plants. A weighted H mixed-sensitivity measure which penalizes the control is used to define the notion of optimality. Controllers are generated by solving a `natural' finite-dimensional optimization. A priori computable conditions are given on the approximants such that the resulting finite-dimensional controllers stabilize the infinite-dimensional plant and are near-optimal. Moreover, it is shown how the optimal performance may be estimated to any desired degree of accuracy by solving a finite-dimensional problem using a suitable finite-dimensional approximant. A result on `actual' transfer function matrix convergence is also presented.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherIEEE
Pages1350-1355
Number of pages6
Volume2
StatePublished - 1994
EventProceedings of the 33rd IEEE Conference on Decision and Control. Part 1 (of 4) - Lake Buena Vista, FL, USA
Duration: Dec 14 1994Dec 16 1994

Other

OtherProceedings of the 33rd IEEE Conference on Decision and Control. Part 1 (of 4)
CityLake Buena Vista, FL, USA
Period12/14/9412/16/94

ASJC Scopus subject areas

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

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    Rodriguez, A. (1994). H optimization for stable multivariable infinite-dimensional systems In Proceedings of the IEEE Conference on Decision and Control (Vol. 2, pp. 1350-1355). IEEE.