TR2023-138

Physics-Constrained Deep Autoencoded Kalman Filters for Estimating Vapor Compression System States


    •  Deshpande, V.M., Chakrabarty, A., Vinod, A.P., Laughman, C.R., "Physics-Constrained Deep Autoencoded Kalman Filters for Estimating Vapor Compression System States", IEEE Control Systems Letters, DOI: 10.1109/​LCSYS.2023.3334959, November 2023.
      BibTeX TR2023-138 PDF
      • @article{Deshpande2023nov,
      • author = {Deshpande, Vedang M. and Chakrabarty, Ankush and Vinod, Abraham P. and Laughman, Christopher R.},
      • title = {Physics-Constrained Deep Autoencoded Kalman Filters for Estimating Vapor Compression System States},
      • journal = {IEEE Control Systems Letters},
      • year = 2023,
      • month = nov,
      • doi = {10.1109/LCSYS.2023.3334959},
      • url = {https://www.merl.com/publications/TR2023-138}
      • }
  • MERL Contacts:
  • Research Areas:

    Control, Machine Learning, Optimization

Abstract:

Physics-based computational models of vapor compression systems (VCSs) enable high-fidelity simulations but require high-dimensional state representations. The underlying VCS dynamics are stiff, constrained by conservation laws, and only a small fraction of states can be measured. While recent advances on constrained extended Kalman filtering (EKF) have provided a systematic framework for estimating VCS states via simulation models, two major bottlenecks to efficient implementation include: (i) expensive forward predictions requiring customized stiff solvers; and, (ii) frequent and computation- ally expensive linearization operations on high-dimensional nonlinear models. In this paper, we circumvent these bottlenecks by constructing deep autoencoder (AE)-based state-space models (SSMs) from simulation data for which both forward predictions and linearization operations via automatic differentiation can be performed efficiently. In addition, we incorporate physical constraints based on pressure gradients explicitly into the autoencoder, and demonstrate, on a Julia-based high-fidelity simulator, that the physics-constrained model improves the estimation performance compared to a AE-based SSM that does not enforce physics.