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Finite-time output feedback stabilisation for a class of feedforward nonlinear systems with input saturation

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  • Fangzheng Gao
  • Yuqiang Wu

Abstract

This paper considers the problem of global finite-time stabilisation by output feedback for a class of feedforward (upper triangular) nonlinear systems with input saturation. Based on the finite-time stability theorem, and by skillfully using the homogeneous domination approach and the nested saturation technique, a saturated output feedback controller is successfully constructed, which renders the origin of the closed-loop system globally finite-time stable. In simulation studies, a numerical example is illustrated to show the effectiveness of the control scheme. Moreover, the design strategy is successfully applied to solve the saturated finite-time control problem for vertical wheel on rotating table.

Suggested Citation

  • Fangzheng Gao & Yuqiang Wu, 2017. "Finite-time output feedback stabilisation for a class of feedforward nonlinear systems with input saturation," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(6), pages 1254-1265, April.
  • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:6:p:1254-1265
    DOI: 10.1080/00207721.2016.1250972
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    1. Fangzheng Gao & Yuqiang Wu & Xin Yu, 2016. "Global state feedback stabilisation of stochastic high-order nonlinear systems with high-order and low-order nonlinearities," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(16), pages 3846-3856, December.
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