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Finite-time output feedback control for a class of second-order nonlinear systems with application to DC–DC buck converters

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Abstract

The problem of output feedback control for a class of second-order nonlinear systems is investigated in this paper. Using the techniques of finite-time control and finite-time convergent observer, an observer-based finite-time output feedback controller is proposed which can guarantee that the system’s state converges to the equilibrium in a finite time. As an application of the proposed theoretical results, the problem of finite-time control without current signal for the DC–DC buck converters is solved. Simulation results are given to demonstrate the effectiveness of the proposed method.

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Acknowledgments

This work is supported by the Natural Science Foundation of China (61304007), the National Natural Science Funds of China for Distinguished Young Scholar (50925727), Key Grant Project of Chinese Ministry of Education (313018), Natural Science Foundation of Anhui Province (1308085QF106), and Ph.D. Programs Foundation of Ministry of Education of China (20130111120007).

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Correspondence to Haibo Du.

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Du, H., Cheng, Y., He, Y. et al. Finite-time output feedback control for a class of second-order nonlinear systems with application to DC–DC buck converters. Nonlinear Dyn 78, 2021–2030 (2014). https://doi.org/10.1007/s11071-014-1593-9

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  • DOI: https://doi.org/10.1007/s11071-014-1593-9

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