Robust Control for Fuzzy Nonlinear Uncertain Systems with Discrete and Distributed Time Delays

Title
Robust Control for Fuzzy Nonlinear Uncertain Systems with Discrete and Distributed Time Delays
Author(s)
박주현R. Sakthivel[R. Sakthivel]P. Vadivel[P. Vadivel]칼리다스마디야라간
Keywords
H-INFINITY CONTROL; EXPONENTIAL STABILITY; NEUTRAL SYSTEMS; VARYING DELAYS; STABILIZATION; CRITERION; DESIGN; LMI
Issue Date
201410
Publisher
VERLAG Z NATURFORSCH
Citation
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, v.69, no.10-11, pp.569 - 580
Abstract
This paper addresses the problem of stability and stabilization issue for a class of fuzzy nonlinear uncertain systems with discrete and distributed time delays. By utilizing a new Lyapunov-Krasovslcii functional together with free weighting matrix approach, a new set of delay-dependent sufficient conditions are derived which makes the closed loop system robustly asymptotically stable. In particular, the parameter uncertainties are assumed to be norm bounded. Further, a state feedback controller is proposed to guarantee the robust stabilization for uncertain systems and subsequently the controller is constructed in terms of the solution to a set of linear matrix inequalities (LMI). The derived conditions are expressed in the form of linear matrix inequalities which can be efficiently solved via standard LMI toolbox. Further, two numerical examples are provided to demonstrate the effectiveness and less conservatism of the obtained results.
URI
http://hdl.handle.net/YU.REPOSITORY/30595http://dx.doi.org/10.5560/ZNA.2014-0050
ISSN
0932-0784
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공과대학 > 전기공학과 > Articles
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