H sensitivity and mixed-sensitivity optimization for stable multivariable infinite-dimensional systems

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

1 Scopus citations

Abstract

This paper considers the problem of designing near-optimal finite-dimensional compensators for stable multiple-input multiple-output (MIMO) infinite-dimensional plants. Two measures of optimality are used. First, we consider a weighted H mixed-sensitivity measure which penalizes the control. Then we consider a standard weighted sensitivity measure. Controllers are generated by solving a 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 in the case of the mixed-sensitivity measure. Moreover, it is shown how the optimal performance may be estimated to any desired degree of accuracy by solving a finite-dimensional problem base on a suitable finite-dimensional approximant. For the sensitivity measure, convergence is proved but a priori conditions on the approximants are not presented in this note.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherIEEE
Pages4169-4174
Number of pages6
Volume4
StatePublished - 1995
EventProceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) - New Orleans, LA, USA
Duration: Dec 13 1995Dec 15 1995

Other

OtherProceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4)
CityNew Orleans, LA, USA
Period12/13/9512/15/95

ASJC Scopus subject areas

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

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    Rodriguez, A. (1995). H sensitivity and mixed-sensitivity optimization for stable multivariable infinite-dimensional systems In Proceedings of the IEEE Conference on Decision and Control (Vol. 4, pp. 4169-4174). IEEE.