Weighted H mixed-sensitivity minimization for stable distributed parameter plants under sampled-data control

Delano R. Carter, Armando Rodriguez

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

3 Citations (Scopus)

Abstract

This paper considers the problem of designing near-optimal finite-dimensional controllers for stable multiple-input multiple-output (MIMO) distributed parameter plants under sampled-data control. A weighted H -style mixed-sensitivity measure which penalizes the control is used to define the notion of optimality. Controllers are generated by solving a `natural' finite-dimensional sampled-data optimization. A priori computable conditions are given on the approximants such that the resulting finite-dimensional controllers stabilize the sampled-data controlled distributed parameter plant and are near-optima. The proof relies on the fact that the control input is appropriately penalized in the optimization. This technique also assumes and exploits the fact that the plant can be approximated uniformly by finite-dimensional systems. Moreover, it is shown how the optimal performance may be estimated to any desired degree of accuracy by solving a single finite-dimensional problem using a suitable finite-dimensional approximant. The constructions given are simple. Finally, it should be noted that no infinite-dimensional spectral factorizations are required. In short, the paper provides a straight forward control design approach for a large class of MIMO distributed parameter systems under sampled-data control.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherIEEE
Pages521-526
Number of pages6
Volume1
StatePublished - 1997
EventProceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5) - San Diego, CA, USA
Duration: Dec 10 1997Dec 12 1997

Other

OtherProceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5)
CitySan Diego, CA, USA
Period12/10/9712/12/97

Fingerprint

Controllers
Factorization

ASJC Scopus subject areas

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

Cite this

Carter, D. R., & Rodriguez, A. (1997). Weighted H mixed-sensitivity minimization for stable distributed parameter plants under sampled-data control In Proceedings of the IEEE Conference on Decision and Control (Vol. 1, pp. 521-526). IEEE.

Weighted H mixed-sensitivity minimization for stable distributed parameter plants under sampled-data control . / Carter, Delano R.; Rodriguez, Armando.

Proceedings of the IEEE Conference on Decision and Control. Vol. 1 IEEE, 1997. p. 521-526.

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

Carter, DR & Rodriguez, A 1997, Weighted H mixed-sensitivity minimization for stable distributed parameter plants under sampled-data control in Proceedings of the IEEE Conference on Decision and Control. vol. 1, IEEE, pp. 521-526, Proceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5), San Diego, CA, USA, 12/10/97.
Carter DR, Rodriguez A. Weighted H mixed-sensitivity minimization for stable distributed parameter plants under sampled-data control In Proceedings of the IEEE Conference on Decision and Control. Vol. 1. IEEE. 1997. p. 521-526
Carter, Delano R. ; Rodriguez, Armando. / Weighted H mixed-sensitivity minimization for stable distributed parameter plants under sampled-data control Proceedings of the IEEE Conference on Decision and Control. Vol. 1 IEEE, 1997. pp. 521-526
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