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Design of a class of new nonlinear disturbance observers based on tracking differentiators for uncertain dynamic systems

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  • Control Theory
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Abstract

The main contribution of this paper is to present a general design method of new nonlinear disturbance observer (NDO) based on tracking differentiator (TD) for uncertain dynamic system. The stability and convergence of the proposed NDO can be guaranteed by TD. This new NDO can be used to estimate many types of uncertain disturbances, and can overcome the disadvantages of existing NDOs that need the priori information concerning the upper and lower bounds of the disturbance and its ith derivative’s Lipschitz upper bound. It can be also applied in uncertain dynamic system for various purposes such as disturbance estimate and compensation, solving the problem of control input constraint, and reducing even eliminating chattering of control input. Simulation results are presented to show the effectiveness of the developed NDO.

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Authors and Affiliations

  1. Air and Missile Defense College, Air Force Engineering University, Xi’an, 710051, P. R., China

    Xiang-Wei Bu, Xiao-Yan Wu, Yong-Xing Chen & Rui-Yang Bai

Authors
  1. Xiang-Wei Bu
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  2. Xiao-Yan Wu
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  3. Yong-Xing Chen
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  4. Rui-Yang Bai
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Corresponding author

Correspondence to Xiang-Wei Bu.

Additional information

Xiang-Wei Bu was born in 1987. He received his B.S. and M.S. degrees from Air Force Engineering University, in 2010 and 2012, respectively. He is currently a Ph.D. candidate in Air and Missile Defense College, Air Force Engineering University. His research interests include hypersonic vehicle modeling and nonlinear control, back-stepping control, neural control, prescribed performance control, tracking differentiator and nonlinear disturbance observer design.

Xiao-Yan Wu was born in 1957. She is currently a Ph.D. and professor in Air and Missile Defense College, Air Force Engineering University. Her main research interests include flight aircraft modeling, simulation, VV&A, and automatic control.

Yong-Xing Chen was born in 1987. He is currently a Ph.D. candidate in Air and Missile Defense College, Air Force Engineering University. His research interests include flight aircraft modeling, simulation, and VV&A.

Rui-Yang Bai was born in 1991. He is currently a M.S. candidate in Air and Missile Defense College, Air Force Engineering University. His research interests include flight aircraft modeling, simulation, and VV&A.

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Bu, XW., Wu, XY., Chen, YX. et al. Design of a class of new nonlinear disturbance observers based on tracking differentiators for uncertain dynamic systems. Int. J. Control Autom. Syst. 13, 595–602 (2015). https://doi.org/10.1007/s12555-014-0173-6

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  • DOI: https://doi.org/10.1007/s12555-014-0173-6

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