TR2025-172

A dual ensemble Kalman filter approach to robust control of nonlinear systems: An application to partial differential equations

    •  Joshi, A., Mowlavi, S., Benosman, M., "A dual ensemble Kalman filter approach to robust control of nonlinear systems: An application to partial differential equations", IEEE Conference on Decision and Control (CDC), December 2025.
      BibTeX TR2025-172 PDF
      • @inproceedings{Joshi2025dec,
      • author = {Joshi, Anant and Mowlavi, Saviz and Benosman, Mouhacine},
      • title = {{A dual ensemble Kalman filter approach to robust control of nonlinear systems: An application to partial differential equations}},
      • booktitle = {IEEE Conference on Decision and Control (CDC)},
      • year = 2025,
      • month = dec,
      • url = {https://www.merl.com/publications/TR2025-172}
      • }
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  • Research Areas:

    Computational Sensing, Dynamical Systems, Signal Processing

Abstract:

This paper considers the problem of data-driven robust control design for nonlinear systems, for instance, obtained when discretizing nonlinear partial differential equations (PDEs). A robust learning control approach is developed for nonlinear affine in control systems based on Lyapunov redesign technique. The robust control is developed as a sum of an optimal learning control which stabilizes the system in absence of disturbances, and an additive Lyapunov-based robustification term which handles the effects of disturbances. The dual ensemble Kalman filter (dual EnKF) algorithm is utilized in the optimal control design methodology. A simulation study is done on the heat equation and Burgers partial differential equation.

 

  • Related Publication

  •  Joshi, A., Mowlavi, S., Benosman, M., "A Dual Ensemble Kalman Filter Approach to Robust Control of Nonlinear Systems: An Application to Partial Differential Equations", arXiv, August 2025.
    BibTeX arXiv
    • @article{Joshi2025aug,
    • author = {Joshi, Anant and Mowlavi, Saviz and Benosman, Mouhacine},
    • title = {{A Dual Ensemble Kalman Filter Approach to Robust Control of Nonlinear Systems: An Application to Partial Differential Equations}},
    • journal = {arXiv},
    • year = 2025,
    • month = aug,
    • url = {https://arxiv.org/abs/2508.21684}
    • }