NDLI: H/sub /spl infin// fuzzy control design for nonlinear singularly perturbed systems with pole placement constraints: an LMI approach

Content Provider	IEEE Xplore Digital Library
Author	Assawinchaichote, W. Sing Kiong Nguang
Copyright Year	1996
Abstract	This paper considers the problem of designing an H/sub /spl infin// fuzzy controller with pole placement constraints for a class of nonlinear singularly perturbed systems. Based on a linear matrix inequality (LMI) approach, we develop an H/sub /spl infin// fuzzy controller that guarantees 1) the L/sub 2/-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value, and 2) the closed-loop poles of each local system to be within a pre-specified LMI stability region. In order to alleviate the ill-conditioned LMIs resulting from the interaction of slow and fast dynamic modes, solutions to the problem are given in terms of linear matrix inequalities which are independent of the singular perturbation, /spl epsiv/. The proposed approach does not involve the separation of states into slow and fast ones and it can be applied not only to standard, but also to nonstandard singularly perturbed nonlinear systems. A numerical example is provided to illustrate the design developed in this paper.
Starting Page	579
Ending Page	588
Page Count	10
File Size	290537
File Format	PDF
ISSN	10834419
Volume Number	34
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-02-01
Publisher Place	U.S.A.
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Fuzzy control State feedback Fuzzy systems Control systems Power system modeling Nonlinear control systems Linear matrix inequalities Nonlinear systems Nonlinear dynamical systems Power system dynamics
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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