Feedback stabilization of dynamical systems with switched delays
Abstract
We analyze a classification of two main families of controllers that are of interest when the feedback loop is subject to switching propagation delays due to routing via a wireless multi-hop communication network. We show that we can cast this problem as a subclass of classical switching systems, which is a non-trivial generalization of classical LTI systems with timevarying delays. We consider both cases where delay-dependent and delay independent controllers are used, and show that both can be modeled as switching systems with unconstrained switchings. We provide NP-hardness results for the stability verification problem, and propose a general methodology for approximate stability analysis with arbitrary precision. We finally give evidence that non-trivial design problems arise for which new algorithmic methods are needed.
Cite
@article{arxiv.1207.5119,
title = {Feedback stabilization of dynamical systems with switched delays},
author = {Raphael M. Jungers and Alessandro D'Innocenzo and Maria D. Di Benedetto},
journal= {arXiv preprint arXiv:1207.5119},
year = {2012}
}