TR2024-076
Robust Parameter Estimation for Hybrid Dynamical Systems with Linear Parametric Uncertainty
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- "Robust Parameter Estimation for Hybrid Dynamical Systems with Linear Parametric Uncertainty", Automatica, DOI: 10.1016/j.automatica.2024.111766, June 2024.BibTeX TR2024-076 PDF
- @article{Johnson2024jun,
- author = {Johnson, Ryan S. and Di Cairano, Stefano and Sanfelice, Ricardo}},
- title = {Robust Parameter Estimation for Hybrid Dynamical Systems with Linear Parametric Uncertainty},
- journal = {Automatica},
- year = 2024,
- month = jun,
- doi = {10.1016/j.automatica.2024.111766},
- url = {https://www.merl.com/publications/TR2024-076}
- }
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- "Robust Parameter Estimation for Hybrid Dynamical Systems with Linear Parametric Uncertainty", Automatica, DOI: 10.1016/j.automatica.2024.111766, June 2024.
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Abstract:
We consider the problem of estimating a vector of unknown constant parameters for a class of hybrid dynamical systems – that is, systems whose state variables exhibit both continuous (flow) and discrete (jump) evolution – with dynamics that depend linearly on the unknown parameters. Using a hybrid systems framework, we propose a hybrid estimation algorithm that can operate during both flows and jumps that, under a notion of hybrid persistence of excitation, guarantees convergence of the parameter estimate to the true value. Furthermore, we show that the parameter estimate is input-to-state stable with respect to a class of hybrid disturbances. Simulation results including a spacecraft application show the merits of our proposed approach.