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arXiv · 2606.08208

Risk-Aware Control of Systems with Quasi-Cone-Bounded Nonlinearities

Dhairya Patel·Margaret P. Chapman
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Abstract

We develop a tractable, rigorous approach to risk-aware control for a class of nonlinear systems. While many classical control methods reduce uncertainty to a simple average or a worst-case outcome, risk-aware control aims to equip systems with a refined awareness of uncertainty. Efficient methods for risk-aware control of linear systems are available, but there is a paucity of tools for tractable, risk-aware control of nonlinear systems. To bridge this gap, we develop an analytical, suboptimal controller with respect to a risk-aware performance criterion for systems with nonlinearities characterized by cone-like bounds. Numerical examples demonstrate benefits of the characterization of nonlinearities and risk that we consider.

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Dhairya Patel, Margaret P. Chapman. 2026-06-06. Risk-Aware Control of Systems with Quasi-Cone-Bounded Nonlinearities. https://arxiv.org/abs/2606.08208

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