Takagi‐Sugeno tracking control of a fermentation process with respect to asymmetric constraints

• Published in: International journal of adaptive control and signal processing Vol. 34; no. 2; pp. 266 - 282
• Main Authors: Abyad, Mohamed, Karama, Asma, Khallouq, Abdelmounaim
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 01.02.2020
• Subjects: asymmetrical constrained control; Biological activity; bioprocess; Computer simulation; Constraints; Controllers; Fermentation; Fuzzy control; Fuzzy logic; Linear matrix inequalities; PDC controller; Takagi‐Sugeno model; Tracking control; Tracking problem; unmeasurable premise variables
• ISSN: 0890-6327; 1099-1115
• DOI: 10.1002/acs.3083

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.