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Exact linearization of nonlinear systems with outputs

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Abstract

This paper discusses the problem of using feedback and coordinates transformation in order to transform a given nonlinear system with outputs into a controllable and observable linear one. We discuss separately the effect of change of coordinates and, successively, the effect of both change of coordinates and feedback transformation. One of the main results of the paper is to show what extra conditions are needed, in addition to those required for input-output-wise linearization, in order to achieve full linearity of both state-space equations and output map.

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Author information

Authors and Affiliations

  1. Institute of Systems Science, Academy of Sciences, Beijing, People's Republic of China

    D. Cheng

  2. Department of Information and Systems Science, Universita di Roma “La Sapienza”, Rome, Italy

    A. Isidori

  3. Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland

    W. Respondek

  4. Department of Systems Sciences and Mathematics, Washington University, St. Louis, Missouri, USA

    T. J. Tarn

Authors
  1. D. Cheng
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  2. A. Isidori
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  3. W. Respondek
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  4. T. J. Tarn
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Additional information

This research was supported in part by the National Science Foundation under Grants ECS-8515899, DMC-8309527, and INT-8519654.

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Cheng, D., Isidori, A., Respondek, W. et al. Exact linearization of nonlinear systems with outputs. Math. Systems Theory 21, 63–83 (1988). https://doi.org/10.1007/BF02088007

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  • DOI: https://doi.org/10.1007/BF02088007

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