Less Conservative Adaptive Gain-scheduling Control for Continuous-time Systems with Polytopic Uncertainties
Systems and Control
2025-06-17 v1 Systems and Control
Abstract
The synthesis of adaptive gain-scheduling controller is discussed for continuous-time linear models characterized by polytopic uncertainties. The proposed approach computes the control law assuming the parameters as uncertain and adaptively provides an estimate for the gain-scheduling implementation. Conservativeness is reduced using our recent results on describing uncertainty: i) a structural relaxation that casts the parameters as outer terms and introduces slack variables; and ii) a precise topological representation that describes the mismatch between the uncertainty and its estimate. Numerical examples illustrate a high degree of relaxation in comparison with the state-of-the-art.
Cite
@article{arxiv.2506.12476,
title = {Less Conservative Adaptive Gain-scheduling Control for Continuous-time Systems with Polytopic Uncertainties},
author = {Ariany C. Oliveira and Victor C. S. Campos and Leonardo. A. Mozelli},
journal= {arXiv preprint arXiv:2506.12476},
year = {2025}
}