Robust observer synthesis for the uncertain large-scale T–S fuzzy system

Van Phong Vu, Wen June Wang

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

This work studies a new method to synthesise a robust observer to estimate the immeasurable state variables for an uncertain large-scale Takagi–Sugeno (T–S) fuzzy system, which has not been considered in the previous studies. This system consists of a set of T–S fuzzy subsystems that are interconnected, but these systems have certain uncertainties. An observer relying on the unknown input method is synthesised such that not only the unknown states are estimated but also the effects of the uncertainties are eliminated completely, even though the upper bounds of the uncertainties are not known. The conditions to design the observer are obtained in the main theorems by employing Lyapunov methodology, S-procedure, and linear matrix inequalities technique. Finally, the illustrative examples are provided to illustrate the advantages and success of the proposed method.

Original languageEnglish
Pages (from-to)134-145
Number of pages12
JournalIET Control Theory and Applications
Volume13
Issue number1
DOIs
StatePublished - 1 Jan 2019

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