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arXiv · 2004.01690

Robust LQR for Uncertain Discrete-Time Systems using Polynomial Chaos

Vaishnav Tadiparthi·Raktim Bhattacharya
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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.

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Vaishnav Tadiparthi, Raktim Bhattacharya. 2020-04-03. Robust LQR for Uncertain Discrete-Time Systems using Polynomial Chaos. https://arxiv.org/abs/2004.01690

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