Simultaneous Design of Parallel Distributed Output Feedback and Anti-windup Compensators for Constrained Takagi-Sugeno Fuzzy Systems

• Published in: Asian journal of control Vol. 18; no. 5; pp. 1641 - 1654
• Main Authors: Nguyen, Anh-Tu, Dambrine, Michel, Lauber, Jimmy
• Format: Journal Article
• Language: English
• Published: Hoboken Blackwell Publishing Ltd 01.09.2016; Wiley Subscription Services, Inc; Asian Control Association (ACA) and Chinese Automatic Control Society (CACS)
• Subjects: anti-windup compensator; Automatic; control input saturation; domain of attraction; dynamic output feedback controller; Engineering Sciences; Feedback control systems; state constraints; Takagi-Sugeno fuzzy systems; "control input saturation"; "Takagi-Sugeno fuzzy systems"; "dynamic output feedback controller"; state constraints; "anti-windup compensator"; "domain of attraction"
• ISSN: 1561-8625; 1934-6093
• DOI: 10.1002/asjc.1288

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.