Finite dimensional modeling with explicit error bounds for spectral systems

Jun Imai, Kiyoshi Wada

Research output: Chapter in Book/Report/Conference proceedingChapter

5 Citations (Scopus)

Abstract

In this paper, we present a reduced order modeling technique for a stable self-adjoint spectral system with unbounded input/output operators. An uncertainty model which covers the original distributed parameter system is formulated in view of finite dimensional controller design using linear robust control theory. The model is made of a finite dimensional nominal plant and frequency domain additive error bounds. The nominal model is a modal truncation containing a feed-through term with no dc errors between the nominal plant and the system. The bound is computable using elements of the system and partial knowledge of spectral structure. The formula obtained can be readily applicable to a wide class of systems including heat conduction and diffusion, and easily extended for systems with vibration.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Editors Anon
Publication statusPublished - Dec 1 1996
Externally publishedYes
EventProceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4) - Kobe, Jpn
Duration: Dec 11 1996Dec 13 1996

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume1
ISSN (Print)0191-2216

Other

OtherProceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4)
CityKobe, Jpn
Period12/11/9612/13/96

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

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