A finite-dimensional modeling of heat conduction systems with state distribution error bounds

Jun Imai, Yasuaki Ando, Masami Konishi

Research output: Contribution to journalConference article


In this paper we present finite-dimensional modeling of heat conduction systems with frequency and space-dependent error bounds where the eigenstruc-tures of the systems are only partially known. It is shown that steady state analysis for dc input of a system is used effectively in reduced order modeling and bounding errors for the whole spatial distribution of temperature. A class of nominal models is clarified with tight additive error bounds, and the nominal models as well as the uncertainty weights are explicitly described as simple real rational form of transfer functions. The feasibility of the presented scheme is demonstrated by a simple example of heat conduction in copper rod.

Original languageEnglish
Pages (from-to)725-730
Number of pages6
JournalIFAC Proceedings Volumes (IFAC-PapersOnline)
Issue number11
Publication statusPublished - Jan 1 2004
Event10th IFAC/IFORS/IMACS/IFIP Symposium on Large Scale Systems: Theory and Applications, LSS 2004 - Osaka, Japan
Duration: Jul 26 2004Jul 28 2004



  • Distributed-parameter systems
  • Modelling errors
  • Uncertainty

ASJC Scopus subject areas

  • Control and Systems Engineering

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