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Simultaneous Design of Parallel Distributed Output Feedback and Anti‐windup Compensators for Constrained Takagi‐Sugeno Fuzzy Systems
Author(s) -
Nguyen AnhTu,
Dambrine Michel,
Lauber Jimmy
Publication year - 2016
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1288
Subject(s) - control theory (sociology) , linear matrix inequality , convex optimization , controller (irrigation) , fuzzy logic , lyapunov function , nonlinear system , output feedback , fuzzy control system , stability (learning theory) , computer science , mathematical optimization , mathematics , regular polygon , control (management) , physics , geometry , quantum mechanics , artificial intelligence , machine learning , agronomy , biology
Abstract This paper is devoted to developing a novel approach to deal with constrained continuous‐time nonlinear systems in the form of Takagi‐Sugeno fuzzy models. Here, the disturbed systems are subject to both input and state constraints. The one‐step design method is used to simultaneously synthesize the dynamic output feedback controller and its anti‐windup strategy. A parameter‐dependent version of the generalized sector condition is used together with Lyapunov stability theory to derive linear matrix inequality design conditions. Based on this result and for different design specifications, the synthesis of an anti‐windup based dynamic output feedback controller is expressed on the form of convex optimization problems. A physically motivated example is given to illustrate the effectiveness of the proposed method.