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Decentralized State-Estimation of Interconnected Systems with Unknown Nonlinearities

  • Magdi S. Mahmoud

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

An efficient state-estimation scheme is developed within the LMI framework for robust decentralized state estimation of systems composed of linear dynamic subsystems coupled by static nonlinear interconnections satisfying quadratic constraints. The procedure utilizes a general linear estimator structure, and consists of two steps, the first giving a block-diagonal Lyapunov matrix together with the robustness degree, and the second determining the filter parameters. Extension to the case of additive filter gain perturbations is established and numerical examples are provided to illustrate the applicability of the method.

Original languageEnglish
Pages (from-to)786-798
Number of pages13
JournalJournal of Optimization Theory and Applications
Volume152
Issue number3
DOIs
StatePublished - Mar 2012

Bibliographical note

Funding Information:
Acknowledgements This work is supported by the deanship of scientific research (DSR) at KFUPM through research project No. IN100018.

Keywords

  • Decentralized estimation
  • Interconnected systems
  • LMIs
  • Robust estimation

ASJC Scopus subject areas

  • Management Science and Operations Research
  • Control and Optimization
  • Applied Mathematics

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