Feasibility Evaluation of Quadratic Programs for Constrained Control

Panagiotis Rousseas; Dimitra Panagou

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arXiv · 2502.12005

Feasibility Evaluation of Quadratic Programs for Constrained Control

Panagiotis Rousseas·Dimitra Panagou

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Abstract

This paper presents a computationally-efficient method for evaluating the feasibility of Quadratic Programs (QPs) for online constrained control. Based on the duality principle, we first show that the feasibility of a QP can be determined by the solution of a properly-defined Linear Program (LP). Our analysis yields a LP that can be solved more efficiently compared to the original QP problem, and more importantly, is simpler in form and can be solved more efficiently compared to existing methods that assess feasibility via LPs. The computational efficiency of the proposed method compared to existing methods for feasibility evaluation is demonstrated in comparative case studies as well as a feasible-constraint selection problem, indicating its promise for online feasibility evaluation of optimization-based controllers.

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BibTeX RIS

Panagiotis Rousseas, Dimitra Panagou. 2025-02-17. Feasibility Evaluation of Quadratic Programs for Constrained Control. https://arxiv.org/abs/2502.12005

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