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Author Klug, M. ♦ Castelan, E.B. ♦ Coutinho, D.
Sponsorship IEEE Control Syst. Soc.
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©2013
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations ♦ Other branches of engineering
Subject Keyword Trajectory ♦ Stability analysis ♦ Closed loop systems ♦ Nonlinear systems ♦ Numerical models ♦ Standards ♦ Numerical stability
Abstract This paper addresses the input-to-state stabilization problem in the $ℓ_{2}$ sense for a class of discrete-time nonlinear systems described by Takagi-Sugeno (T-S) fuzzy models. It turns out that T-S models accurately represent the original system in some bounded region of the state space (namely the T-S domain of validity). Thus, a numerical and tractable solution to the local stabilization problem is proposed while providing an estimate of the closed-loop stability region (a positively invariant set belonging to the T-S domain of validity which bounds the state trajectory driven by admissible disturbance inputs). This paper concentrates on the state feedback design problem in which the feedback gain is computed by means of a convex optimization problem in terms of linear matrix inequality constraints. Numerical examples illustrate the technique demonstrating the effectiveness of the approach as a control design tool for nonlinear discrete-time systems.
Description Author affiliation: DAS-UFSC, Florianopolis, Brazil (Klug, M.; Castelan, E.B.; Coutinho, D.)
ISBN 9781467357142
ISSN 07431546
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2013-12-10
Publisher Place Italy
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
e-ISBN 9781467357173
Size (in Bytes) 211.30 kB
Page Count 6
Starting Page 7426
Ending Page 7431

Source: IEEE Xplore Digital Library