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Global Practical Output Tracking of Inherently Nonlinear Systems Using Continuously Differentiable Controllers

Author

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  • Keylan Alimhan
  • Naohisa Otsuka
  • Abilmazhin A. Adamov
  • Maksat N. Kalimoldayev

Abstract

This paper considers the global practical output tracking problem by at least continuously differentiable ( ) state feedback for a class of uncertain nonlinear systems whose linearization around the origin may contain uncontrollable modes. Based on utilizing the homogeneous domination approach, we not only propose conditions of constructing a global continuously differentiable ( ) controller, but also provide explicit design schemes for such systems. Finally, a numerical example demonstrates the effectiveness of the result.

Suggested Citation

  • Keylan Alimhan & Naohisa Otsuka & Abilmazhin A. Adamov & Maksat N. Kalimoldayev, 2015. "Global Practical Output Tracking of Inherently Nonlinear Systems Using Continuously Differentiable Controllers," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-10, June.
    • Handle: RePEc:hin:jnlmpe:932097
    DOI: 10.1155/2015/932097
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