Title :
State and unknown input estimation for nonlinear systems described by Takagi-Sugeno models with unmeasurable premise variables
Author :
Ichalal, Dalil ; Marx, Benoît ; Ragot, José ; Maquin, Didier
Author_Institution :
Centre de Rech. en Autom. de Nancy (CRAN), Nancy-Univ., Vandoeuvre-les-Nancy, France
Abstract :
This paper presents a new method to synthesize observers for continuous time nonlinear systems described by Takagi-Sugeno (TS) model with unmeasurable premise variables. First, convergence conditions are established in order to guarantee the convergence of the state estimation error. These conditions are given in linear matrix inequality (LMI) formulation. Secondly, a classical proportional integral observer (PIO) is extended to the considered nonlinear systems in order to estimate the state and the unknown inputs (UI).
Keywords :
continuous time systems; convergence; fuzzy systems; linear matrix inequalities; nonlinear systems; observers; Takagi-Sugeno model; continuous time nonlinear system; convergence condition; linear matrix inequality; observer synthesization; proportional integral observer; state estimation error; state input estimation; unmeasurable premise variable; Automatic control; Automation; Bismuth; Convergence; Fault detection; Nonlinear control systems; Nonlinear systems; Observers; State estimation; Takagi-Sugeno model;
Conference_Titel :
Control and Automation, 2009. MED '09. 17th Mediterranean Conference on
Conference_Location :
Thessaloniki
Print_ISBN :
978-1-4244-4684-1
Electronic_ISBN :
978-1-4244-4685-8
DOI :
10.1109/MED.2009.5164542
