Phase limitations of multipliers at harmonics
Optimization and Control
2021-09-03 v1
Abstract
We present a phase condition under which there is no suitable multiplier for a given continuous-time plant. The condition can be derived from either the duality approach or from the frequency interval approach. The condition has a simple graphical interpretation, can be tested in a numerically efficient manner and may be applied systematically. Numerical examples show significant improvement over existing results in the literature. The condition is used to demonstrate a third order system with delay that is a counterexample to the Kalman Conjecture.
Keywords
Cite
@article{arxiv.2109.00744,
title = {Phase limitations of multipliers at harmonics},
author = {William Paul Heath and Joaquin Carrasco and Jingfan Zhang},
journal= {arXiv preprint arXiv:2109.00744},
year = {2021}
}