Robust Parameter Estimation for Hybrid Dynamical Systems
Optimization and Control
2023-08-16 v1 Dynamical Systems
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. 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.
Cite
@article{arxiv.2308.07516,
title = {Robust Parameter Estimation for Hybrid Dynamical Systems},
author = {Ryan S. Johnson and Stefano Di Cairano and Ricardo G. Sanfelice},
journal= {arXiv preprint arXiv:2308.07516},
year = {2023}
}