Design of Unknown Inputs Multiple Observer for Uncertain Takagi-Sugeno Multiple Model
Wafa Jamel1, Atef Khedher2, Kamel Ben Othman3
1Wafa  Jamel, Atst, National Engineering School of  Monastir, Tunisia.
2Atef  Khedher, Atst, National Engineering School of Monastir, Tunisia.
3Kamel Ben Othman, Atst, National Engineering School of Monastir, Tunisia.
Manuscript received on July 27, 2013. | Revised Manuscript received on August 03, 2013. | Manuscript published on August 30, 2013. | PP: 431-438 | Volume-2, Issue-6, August 2013.  | Retrieval Number: F2061082613/2013©BEIESP

Open Access | Ethics and Policies | Cite
© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (

Abstract: This paper addresses the design of an unknown multiple observer for Takagi-Sugeno model subject to modelling and measures uncertainties. The proposed method in this paper is based on the development of an observer in presence of uncertainties. The specificity of this work is contained within the fact that a mathematical transformation which allows us to consider modelling and measures uncertainties in the form of unknown inputs is used. In so doing, a multiple observer based on the elimination of these unknown inputs is conceived. The synthesis conditions of that observer are expressed in Linear Matrix Inequalities (LMI) terms. An example of simulation is given to illustrate the validity of the proposed method.
Keywords: Measure imprecision and modelling uncertainties, State estimation, Takagi-Sugeno model, unknown inputs and outputs.