Open-loop contraction design
Systems and Control
2022-09-12 v1 Systems and Control
Abstract
Given a non-contracting trajectory of a nonlinear system, we consider the question of designing an input perturbation that makes the perturbed trajectory contracting. This paper stresses the analogy of this question with the classical question of feedback stabilization. In particular, it is shown that the existence of an output variable that ensures contraction of the inverse system facilitates the design of a contracting input perturbation. We illustrate the relevance of this question in parameter estimation.
Cite
@article{arxiv.2209.04440,
title = {Open-loop contraction design},
author = {Jin Gyu Lee and Thiago B. Burghi and Rodolphe Sepulchre},
journal= {arXiv preprint arXiv:2209.04440},
year = {2022}
}
Comments
7 pages, 6 figures