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Feedback stabilization for high order feedforward nonlinear time-delay systems. (English) Zbl 1233.93079

Summary: 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.

MSC:

93D15 Stabilization of systems by feedback
93B52 Feedback control
93C10 Nonlinear systems in control theory
93C15 Control/observation systems governed by ordinary differential equations
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References:

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