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Preview Tracking Control for a Class of Differentiable Nonlinear Systems

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Abstract

This paper investigates the problem of preview tracking control for a class of differentiable nonlinear systems. First, by constructing an augmented error system (AES), the tracking problem is transformed into a regulation problem. Thanks to the differentiable mean value theorem, the obtained AES is a linear parameter varying system. Then, a state feedback controller is developed and a sufficient condition for asymptotic stability of the closed-loop system is presented in the LMI form. Based on this criterion, the preview controller of the original system is designed to guarantee that the output asymptotically tracks a reference signal. Finally, the effectiveness of the proposed controller is shown by numerical simulations.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (No. 61174209) and the Oriented Award Foundation for Science and Technological Innovation, Inner Mongolia Autonomous Region, China (No. 2012).

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Authors and Affiliations

  1. Department of Information and Computing Science, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, 100083, China

    Xiao Yu & Fucheng Liao

  2. Beijing Key Laboratory for Magneto-Photoelectrical Composite and Interface Science, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, 100083, China

    Xiao Yu & Fucheng Liao

  3. School of Computing, Creative Technologies, and Engineering, Leeds Beckett University, Leeds, LS6 3QS, UK

    Jiamei Deng

Authors
  1. Xiao Yu
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  2. Fucheng Liao
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  3. Jiamei Deng
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Correspondence to Fucheng Liao.

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Yu, X., Liao, F. & Deng, J. Preview Tracking Control for a Class of Differentiable Nonlinear Systems. Arab J Sci Eng 43, 3259–3268 (2018). https://doi.org/10.1007/s13369-017-3040-y

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  • DOI: https://doi.org/10.1007/s13369-017-3040-y

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