TR2019-111

Robust Nonlinear State Estimation for a Class of Infinite-Dimensional Systems Using Reduced-Order Models


    •  Benosman, M., Borggaard, J., "Robust Nonlinear State Estimation for a Class of Infinite-Dimensional Systems Using Reduced-Order Models", International Journal of Control, DOI: 10.1080/00207179.2019.1645359, pp. 1-12, July 2019.
      BibTeX TR2019-111 PDF
      • @article{Benosman2019sep,
      • author = {Benosman, Mouhacine and Borggaard, Jeff},
      • title = {Robust Nonlinear State Estimation for a Class of Infinite-Dimensional Systems Using Reduced-Order Models},
      • journal = {International Journal of Control},
      • year = 2019,
      • pages = {1--12},
      • month = jul,
      • doi = {10.1080/00207179.2019.1645359},
      • url = {https://www.merl.com/publications/TR2019-111}
      • }
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  • Research Area:

    Dynamical Systems

A methodology for designing robust, low-order observers for a class of spectral infinite-dimensional nonlinear systems is presented. This approach uses the lowdimensional subspace explicitly in the observer design. Then, robustness to bounded model uncertainties is incorporated using the Lyapunov reconstruction method from robust control theory. Furthermore, the proposed design includes a data-driven learning algorithm that auto-tunes the observer gains to optimize the performance of the state estimation. A numerical study using a model from fluid dynamics -Burgers equation- demonstrates the effectiveness of the proposed observer.