Dynamic robust stabilization of fractional-order linear systems with nonlinear uncertain parameters: An LMI approach
Abstract
This paper considers the problem of robust stability and stabilization for linear fractional-order system with nonlinear uncertain parameters, with fractional order 0<a<2. A dynamic output feedback controller, with predetermined order, for asymptotically stabilizing such uncertain fractional-order systems is designed. The derived stabilization conditions are in LMI form. Simulation results of two numerical examples illustrate that the proposed sufficient theoretical results are applicable and effective for tackling robust stabilization problems. Keywords: Fractional-order system, nonlinear uncertain parameters, linear matrix inequality (LMI), robust stabilization, dynamic output feedback.
Keywords
Cite
@article{arxiv.1902.01238,
title = {Dynamic robust stabilization of fractional-order linear systems with nonlinear uncertain parameters: An LMI approach},
author = {Pouya Badri and Mahdi Sojoodi and Elyar Zavvari},
journal= {arXiv preprint arXiv:1902.01238},
year = {2021}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1807.10827