Partial stabilization of nonlinear systems along a given trajectory
arXiv:2311.04476 · doi:10.23919/ECC64448.2024.10590790
Abstract
In this paper, the problem of partial stabilization of nonlinear systems along a given trajectory is considered. This problem is treated within the framework of stability of a family of sets. Sufficient conditions for the asymptotic stability of a one-parameter family of sets using time-dependent control in the form of trigonometric polynomials are derived. The obtained results are applied to a model mechanical system.
This is a preprint version of the paper submitted to the 2024 European Control Conference (ECC)