On regulator design for spatial temperature distribution using finite-dimensional modeling of heat equations

Jun Imai, Yasuaki Ando, Masami Konishi, Tatsushi Nishi

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

Abstract

A regulator problem for a heat conduction system, of which the eigenstructure is just partially known, is formulated to design a stabilizing controller that keeps a performance index less than a prescribed value. The index is made of the spatio integral of the squared deviation from reference temperature distribution. It is shown that through characterizing frequency response from input to temperature at each spatial point, a distributed parameter system with nominal model and additive uncertainty weight, both of which are real rational, is reconstructed using knowledge of the eigenstructure. A main result claims that the formulated problem is reduced to a standard mixed H2/H one for a linear finite dimensional time-invariant system. Numerical study demonstrates feasibility of the proposed design scheme.

Original languageEnglish
Title of host publicationProceedings of the 16th IFAC World Congress, IFAC 2005
Pages119-124
Number of pages6
Publication statusPublished - Dec 1 2005
Event16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005 - Prague, Czech Republic
Duration: Jul 3 2005Jul 8 2005

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Volume16
ISSN (Print)1474-6670

Other

Other16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005
CountryCzech Republic
CityPrague
Period7/3/057/8/05

Keywords

  • Distributed-parameter systems
  • Modeling errors
  • Uncertainty

ASJC Scopus subject areas

  • Control and Systems Engineering

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    Imai, J., Ando, Y., Konishi, M., & Nishi, T. (2005). On regulator design for spatial temperature distribution using finite-dimensional modeling of heat equations. In Proceedings of the 16th IFAC World Congress, IFAC 2005 (pp. 119-124). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 16).