Control Co-design of systems with parabolic PDE dynamics

Antika Yadav; Prasad Vilas Chanekar

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arXiv · 2607.20975

Control Co-design of systems with parabolic PDE dynamics

Antika Yadav·Prasad Vilas Chanekar

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Abstract

In this paper, we study the control co-design (CCD) synthesis problem for a class of systems with parabolic partial differential equation (PDE) dynamics. We first derive a sufficient stability condition for the PDE. By spatially discretizing the PDE and using the sufficient stability condition, we propose a computationally tractable approximate CCD problem. We solve the approximate CCD problem using a gradient-based method. Finally, we justify our proposed approach through an example.

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Antika Yadav, Prasad Vilas Chanekar. 2026-07-23. Control Co-design of systems with parabolic PDE dynamics. https://arxiv.org/abs/2607.20975

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