Model predictive control for offset-free reference tracking of fractional order systems
Dynamical Systems
2019-04-26 v1 Optimization and Control
Abstract
In this paper an offset-free model predictive control scheme is presented for fractional-order systems using the Gr\"unwald-Letnikov derivative. The infinite-history fractional-order system is approximated by a finite-dimensional state-space system and the modeling error is cast as a bounded disturbance term. Using a state observer, it is shown that the unknown disturbance at steady state can be reconstructed and modeling errors and other persistent disturbances can be attenuated. The effectiveness of the proposed controller-observer ensemble is demonstrated in the optimal administration of an anti-arrhythmic medicine with fractional-order pharmacokinetics.
Cite
@article{arxiv.1904.11387,
title = {Model predictive control for offset-free reference tracking of fractional order systems},
author = {Sotiris Ntouskas and Haralambos Sarimveis and Pantelis Sopasakis},
journal= {arXiv preprint arXiv:1904.11387},
year = {2019}
}