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Luenberger Observer Design for Uncertainty Nonlinear Systems

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New Perspectives and Applications of Modern Control Theory

Abstract

Most of the nonlinear observers require the nonlinear systems to be known. If the systems are partly unknown, model-free observers such as high-gain observers, sliding mode observers, and neural observers, can be applied. However, the performances of these observers are not satisfactory, for example, they are sensitive to measurement noise and they can only estimate the derivative of the output. In this chapter, we use the structure of Luenberger observers for partially unknown nonlinear systems. Using a Riccati differential equation, we design a time-varying observer gain such that the observer error is robust with respect to bounded uncertainties. Compared with the other robust nonlinear observers, this observer is simple and effective with respect to the uncertainties in the nonlinear systems.

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Authors and Affiliations

  1. Departamento de Control Automatico, CINVESTAV-IPN, Mexico City, Mexico

    Wen Yu

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  1. Wen Yu
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Correspondence to Wen Yu .

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Editors and Affiliations

  1. Centro de Investigaciones Económicas, Administrativas y Sociales, Instituto Politécnico Nacional, Mexico city, Mexico

    Julio B. Clempner

  2. Department of Automatic Control, Center for Research and Advanced Studies, Mexico city, Mexico

    Wen Yu

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Yu, W. (2018). Luenberger Observer Design for Uncertainty Nonlinear Systems. In: Clempner, J., Yu, W. (eds) New Perspectives and Applications of Modern Control Theory. Springer, Cham. https://doi.org/10.1007/978-3-319-62464-8_2

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  • DOI: https://doi.org/10.1007/978-3-319-62464-8_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-62463-1

  • Online ISBN: 978-3-319-62464-8

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