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Takagi‐Sugeno tracking control of a fermentation process with respect to asymmetric constraints
Author(s) -
Abyad Mohamed,
Karama Asma,
Khallouq Abdelmounaim
Publication year - 2020
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.3083
Subject(s) - control theory (sociology) , fuzzy logic , nonlinear system , controller (irrigation) , context (archaeology) , fuzzy control system , observer (physics) , process (computing) , compensation (psychology) , mathematics , mathematical optimization , computer science , control (management) , artificial intelligence , psychology , paleontology , physics , quantum mechanics , psychoanalysis , agronomy , biology , operating system
Summary This article deals with the tracking problem for nonlinear biological process with asymmetric constraints on the controller. Using the fuzzy logic Takagi‐Sugeno (TS), the nonlinear process is modeled by a fuzzy model and a parallel distributed compensation (PDC) controller with respect asymmetric constraints is designed. The main contribution of this work is to extend the available results, in the context of a TS formulation, for symmetrical constraints to asymmetrical ones. Hence, sufficient conditions are obtained for the first time, in terms of linear matrix inequalities (LMIs), for the existence of an asymmetrical constrained PDC controller. Moreover, fuzzy observer based controller with unmeasured premise variables is designed. The performance and effectiveness of the method are illustrated in simulation by considering a fermentation process.