A unified method for optimal arbitrary pole placement
Optimization and Control
2015-08-18 v1
Abstract
We consider the classic problem of pole placement by state feedback. We offer an eigenstructure assignment algorithm to obtain a novel parametric form for the pole-placing feedback matrix that can deliver any set of desired closed-loop eigenvalues, with any desired multiplicities. This parametric formula is then exploited to introduce an unconstrained nonlinear optimisation algorithm to obtain a feedback matrix that delivers the desired pole placement with optimal robustness and minimum gain. Lastly we compare the performance of our method against several others from the recent literature.
Cite
@article{arxiv.1405.1516,
title = {A unified method for optimal arbitrary pole placement},
author = {Robert Schmid and Lorenzo Ntogramatzidis and Thang Nguyen and Amit Pandey},
journal= {arXiv preprint arXiv:1405.1516},
year = {2015}
}
Comments
6 pages. Automatica 2014