Feedback stabilization for high order feedforward nonlinear time-delay systems |
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| Authors: | Xianfu Zhang Qingrong Liu Luc Baron El-Kebir Boukas[Author vitae] |
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| Affiliation: | aShandong Provincial Key Laboratory of Intelligent Buildings Technology, Shandong Jianzhu University, Jinan, 250101, China;bSchool of Statistics and Mathmatics, Shandong Economic University, Jinan, 250014, China;cDepartment of Mechanical Engineering, Ecole Polytechnique de Montreal, Montreal, Que., Canada |
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| Abstract: | 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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| Keywords: | Feedforward systems Time-delay systems High order Dynamic gain controllers |
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