NDLI: Switching fuzzy controller design based on switching Lyapunov function for a class of nonlinear systems

Content Provider	IEEE Xplore Digital Library
Author	Ohtake, H. Tanaka, K. Wang, H.O.
Copyright Year	1996
Abstract	This paper presents a switching fuzzy controller design for a class of nonlinear systems. A switching fuzzy model is employed to represent the dynamics of a nonlinear system. In our previous papers, we proposed the switching fuzzy model and a switching Lyapunov function and derived stability conditions for open-loop systems. In this paper, we design a switching fuzzy controller. We firstly show that switching fuzzy controller design conditions based on the switching Lyapunov function are given in terms of bilinear matrix inequalities, which is difficult to design the controller numerically. Then, we propose a new controller design approach utilizing an augmented system. By introducing the augmented system which consists of the switching fuzzy model and a stable linear system, the controller design conditions based on the switching Lyapunov function are given in terms of linear matrix inequalities (LMIs). Therefore, we can effectively design the switching fuzzy controller via LMI-based approach. A design example illustrates the utility of this approach. Moreover, we show that the approach proposed in this paper is available in the research area of piecewise linear control.
Page Count	11
File Size	459145
Starting Page	13
Ending Page	23
File Format	PDF
ISSN	10834419
Volume Number	36
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-02-01
Publisher Place	U.S.A.
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Fuzzy control Fuzzy systems Nonlinear control systems Control systems Lyapunov method Nonlinear systems Open loop systems Linear matrix inequalities Nonlinear dynamical systems Stability switching Lyapunov function Augmented system linear matrix inequality (LMI) switching fuzzy model
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Information Systems Electrical and Electronic Engineering Human-Computer Interaction Computer Science Applications Software

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