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Analysis and design of unknown input observers for a class of 2-D nonlinear systems

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Abstract

This paper considers the analysis and design of asymptotic unknown input observers (UIOs) for a class of two-dimensional (2-D) nonlinear systems. A sufficient condition for the existence of an asymptotic UIO such that the observer estimation error asymptotically converges to zero is first given in terms of a rank condition on the given system matrices. A systematic method is then presented for the design of UIOs using a linear matrix inequality technique. An example is provided to illustrate the effectiveness of the proposed design method.

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Authors and Affiliations

  1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210014, People’s Republic of China

    Lu Wang

  2. School of Science, Nanjing University of Science and Technology, Nanjing, 210014, People’s Republic of China

    Huiling Xu

  3. Faculty of Systems Science and Technology, Akita Prefectural University, Akita, 015-0055, Japan

    Li Xu

  4. School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue, 639798, Singapore

    Zhiping Lin

Authors
  1. Lu Wang
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  2. Huiling Xu
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  3. Li Xu
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  4. Zhiping Lin
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Correspondence to Li Xu.

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Wang, L., Xu, H., Xu, L. et al. Analysis and design of unknown input observers for a class of 2-D nonlinear systems. Multidim Syst Sign Process 24, 621–635 (2013). https://doi.org/10.1007/s11045-012-0209-0

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  • DOI: https://doi.org/10.1007/s11045-012-0209-0

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