Robust Observer Design for Unknown Inputs Takagi–Sugeno Models

Author

Chadli, M. ; Karimi, Hamid Reza

Author_Institution

Univ. of Picardie Jules Verne, Amiens, France

Volume

21

Issue

1

fYear

2013

fDate

Feb. 2013

Firstpage

158

Lastpage

164

Abstract

This paper deals with the observer design for Takagi-Sugeno (T-S) fuzzy models subject to unknown inputs and disturbance affecting both states and outputs of the system. Sufficient conditions to design an unknown input T-S observer are given in linear matrix inequality (LMI) terms. Both continuous-time and discrete-time cases are studied. Relaxations are introduced by using intermediate variables. Extension to the case of unmeasured decision variables is also given. A numerical example is given to illustrate the effectiveness of the given results.

Keywords

continuous time systems; control system synthesis; decision theory; discrete time systems; fuzzy control; linear matrix inequalities; observers; LMI; T-S fuzzy models; continuous-time system; decision variables; discrete-time system; intermediate variables; linear matrix inequality; robust observer design; sufficient conditions; system states; unknown disturbance; unknown input T-S observer design; unknown inputs Takagi-Sugeno models; Nickel; Numerical models; Observers; Stability analysis; Symmetric matrices; Vectors; Fuzzy model; Lyapunov method; linear matrix inequalities (LMIs); observer; unknown inputs;

fLanguage

English

Journal_Title

Fuzzy Systems, IEEE Transactions on

Publisher

ieee

ISSN

1063-6706

Type

jour

DOI

10.1109/TFUZZ.2012.2197215

Filename

6193425