Model Reduction of Spatially-Invariant Array Systems

Sikandar Samar, Carolyn L Beck

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


This paper presents a technique for model reduction of spatially distributed systems. It is applicable to systems with dynamics that evolve continuously in time, but whose spatial structure is inherently discrete. The technique relies on linear matrix inequality (LMI) based synthesis results developed for control design of spatially interconnected systems. A key property which is exploited in the derivation of synthesis results is spatial invariance, which means that the system dynamics remain unchanged with translation in spatial coordinates. Such systems can be modelled by linear fractional transformations (LFTs) on spatial and temporal variables. The results in this paper are presented in terms of LMIs, making the reduction problem computationally attractive.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Number of pages6
StatePublished - Dec 1 2003
Event42nd IEEE Conference on Decision and Control - Maui, HI, United States
Duration: Dec 9 2003Dec 12 2003

Publication series

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


Other42nd IEEE Conference on Decision and Control
Country/TerritoryUnited States
CityMaui, HI

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization


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