Robust LQR for Uncertain Discrete-Time Systems using Polynomial Chaos
Optimization and Control
2020-04-06 v1
Abstract
In this paper, a polynomial chaos based framework for designing controllers for discrete time linear systems with probabilistic parameters is presented. Conditions for exponential-mean-square stability for such systems are derived and algorithms for synthesizing optimal quadratically stabilizing controllers are proposed in a convex optimization formulation. The solution presented is demonstrated on the derived discrete-time models of a nonlinear F-16 aircraft model trimmed at a set of chosen points.
Cite
@article{arxiv.2004.01690,
title = {Robust LQR for Uncertain Discrete-Time Systems using Polynomial Chaos},
author = {Vaishnav Tadiparthi and Raktim Bhattacharya},
journal= {arXiv preprint arXiv:2004.01690},
year = {2020}
}