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Feedback stabilization for high order feedforward nonlinear time-delay systems

โœ Scribed by Xianfu Zhang; Qingrong Liu; Luc Baron; El-Kebir Boukas

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
409 KB
Volume
47
Category
Article
ISSN
0005-1098

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โœฆ Synopsis

This paper investigates the problem of global strong stabilization by state feedback, for a family of high order feedforward nonlinear time-delay systems. The uncertain nonlinearities are assumed to satisfy a polynomial growth assumption with an input or delayed input dependent rate. With the help of the appropriate Lyapunov-Krasovskii functionals, and a rescaling transformation with a gain to be tuned online by a dynamic equation, we propose a dynamic low gain state feedback control scheme. A simulation example is given to demonstrate the effectiveness of the proposed design procedure.

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