Fault/State Estimation Observer Synthesis for Uncertain T-S Fuzzy Systems

Van Phong Vu, Ton Do

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper studies a new approach for synthesizing an observer to estimate both unmeasurable states and faults of the T-S fuzzy system with uncertainties, simultaneously where the bounded constraints of the uncertainties are unnecessary. Both continuous and discrete time systems are taken into account. To deal with the uncertainties and faults, first, the uncertain T-S fuzzy system is transformed into the unknown-input one; then, it is reconstructed by adding one more state equation to the system. An observer is synthesized to eliminate completely the effects of the uncertainties and estimate the unknown states and faults simultaneously. The fuzzy Lyapunov function is employed to relax the observer design conditions. On the basis of the Lyapunov theory, linear matrix inequality (LMI) technique, the conditions for observer design, are derived in the main theorems. Finally, an illustrative example is introduced for both continuous and discrete time systems to prove the effectiveness of the proposed method.

Original languageEnglish
JournalIEEE Access
DOIs
Publication statusAccepted/In press - Jan 1 2018

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Fuzzy systems
State estimation
Lyapunov functions
Linear matrix inequalities
Uncertainty

Keywords

  • Fault estimation
  • LMIs
  • Observer synthesis
  • T-S fuzzy system
  • Uncertainties
  • Unknown input method

ASJC Scopus subject areas

  • Computer Science(all)
  • Materials Science(all)
  • Engineering(all)

Cite this

Fault/State Estimation Observer Synthesis for Uncertain T-S Fuzzy Systems. / Vu, Van Phong; Do, Ton.

In: IEEE Access, 01.01.2018.

Research output: Contribution to journalArticle

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