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On global stabilization of nonlinear dynamical systems

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Variable structure systems, sliding mode and nonlinear control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 247))

Abstract

The global stabilization of nonlinear minimum phase systems with partially linear strict nonminimum phase composite dynamics is discussed in this chapter using only the state variables of the linear composite part. The concept of the terminal sliding mode is employed for the control design. The advantage of the approach is that the finite time convergence of the proposed control strategy enables elimination of the effect of asymptotic convergence on the nonlinear systems, hence the peaking phenomenon does not occur. The global stabilization of the nonlinear systems under the developed controller is guaranteed.

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Author information

Authors and Affiliations

  1. Faculty of Informatics and Communication, Central Queensland University, 4702, Rockhampton, Australia

    Xinghuo Yu

  2. Institute of Automation, Qufu Normal University, Qufu, PR China

    Yuqiang Wu

  3. Department of Electrical Engineering and Computer Science, University of Tasmania, 7001, Hobart, Australia

    Man Zhihong

Authors
  1. Xinghuo Yu
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  2. Yuqiang Wu
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  3. Man Zhihong
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K.D. Young PhD Ü. Özgüner PhD

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© 1999 Springer-Verlag

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Yu, X., Wu, Y., Zhihong, M. (1999). On global stabilization of nonlinear dynamical systems. In: Young, K., Özgüner, Ü. (eds) Variable structure systems, sliding mode and nonlinear control. Lecture Notes in Control and Information Sciences, vol 247. Springer, London. https://doi.org/10.1007/BFb0109973

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  • DOI: https://doi.org/10.1007/BFb0109973

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-197-9

  • Online ISBN: 978-1-84628-540-0

  • eBook Packages: Springer Book Archive

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