Risk adjusted identification of a class of nonlinear systems

Mario Sznaier, Constantino Lagoa, Ma Wenjing

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

3 Scopus citations

Abstract

This paper addresses the problem of identification of a class of nonlinear systems from a set-membership standpoint. Specifically we consider structures consisting of the interconnection of a Linear Time Invariant plant and a sector bound static nonlinearity. This structure includes as special cases Hammerstein, Wiener and Hammerstein-Wiener systems. Our main result shows that, by pursuing a risk-adjusted approach, the problem can be reduced to a convex LMI optimization form that can be efficiently solved. In addition we provide a convergence analysis that points to an intrinsic limitation of any interpolatory algorithm. These results are illustrated with a simple example.

Original languageEnglish (US)
Title of host publicationProceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5117-5122
Number of pages6
ISBN (Print)1424414989, 9781424414987
DOIs
StatePublished - 2007
Event46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States
Duration: Dec 12 2007Dec 14 2007

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Other

Other46th IEEE Conference on Decision and Control 2007, CDC
Country/TerritoryUnited States
CityNew Orleans, LA
Period12/12/0712/14/07

All Science Journal Classification (ASJC) codes

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

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