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On the Unknown Input Functional Observers Design: a Polytopic Takagi-Sugeno Approach
Bezzaoucha, Souad; Voos, Holger; Darouach, Mohamed
2016In 24th Mediterranean Conference on Control and Automation (MED), Athens, Greece, 2016
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Keywords :
Functional Observer; Nonlinear Polytopic Systems; Waste Water Treatment Plant
Abstract :
[en] In this paper, a step by step algorithm is given to design functional unknown input observer for continuous nonlinear systems under the Polytopic Takagi-Sugeno (T-S) framework. To nullify the effect of unknown input (UI), classical approach of decoupling the UI for the linear case is extended to the polytopic system. Applying the Lyapunov theory and the L2 attenuation, Linear Matrix Inequalities (LMI)s conditions are achieved which are solved for feasibility to obtain observer design matrices. 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, simulation example of a Waste Water Treatment Plant (WWTP), which is highly nonlinear and represented in a T-S polytopic form with unmeasurable premise variables and unknown inputs, is discussed.
Disciplines :
Computer science
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 ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT)
Darouach, Mohamed;  Research Center for Automatic Control of Nancy (CRAN), Lorraine University > Pr
External co-authors :
yes
Language :
English
Title :
On the Unknown Input Functional Observers Design: a Polytopic Takagi-Sugeno Approach
Publication date :
June 2016
Event name :
24th Mediterranean Conference on Control and Automation (MED)
Event place :
Athens, Greece
Event date :
from 21-06-2016 to 24-10-2016
Audience :
International
Main work title :
24th Mediterranean Conference on Control and Automation (MED), Athens, Greece, 2016
Pages :
31-37
Peer reviewed :
Peer reviewed
Available on ORBilu :
since 05 March 2016

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