[en] In this paper, a step by step algorithm is given to design functional unknown input observer for nonlinear discrete time systems under the Polytopic Takagi-Sugeno framework
(also known as multiple models systems). Applying the Lyapunov theory and the L2 attenuation, Linear Matrix Inequalities (LMI)s conditions are deduced which are solved for feasibility to obtain observer design matrices. To reject the effect of unknown input, classical approach of decoupling the unknown input for the linear case is used.
A solver based solution is proposed. The novelty of the proposed approach consists in solving simultaneously both structural constraints and LMIs, which ensure a mean for the efficient
design of the gains of the observers. To illustrate the proposed theoretical results, an application example of model reference tracking control applied to an electro-mechanical model of a
motor with a time varying parameter is discussed.
Disciplines :
Electrical & electronics engineering
Author, co-author :
Bezzaoucha, Souad ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT)
Voos, Holger ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Darouach, Mohemed; Université de Lorraine > CRAN
External co-authors :
yes
Language :
English
Title :
Unknown Input Functional Observers Design for Polytopic Discrete Time Systems
Publication date :
May 2017
Event name :
6th IEEE International Conference on Systems and Control (ICSC'17)
Event date :
from 07-05-2017 to 09-05-2017
Audience :
International
Journal title :
Proceedings of 6th IEEE International Conference on Systems and Control (ICSC) 2017