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arXiv · 2307.04212

Delay-Adaptive Control of First-order Hyperbolic PIDEs

Shanshan Wang·Jie Qi·Miroslav Krstic
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Abstract

We develop a delay-adaptive controller for a class of first-order hyperbolic partial integro-differential equations (PIDEs) with an unknown input delay. By employing a transport PDE to represent delayed actuator states, the system is transformed into a transport partial differential equation (PDE) with unknown propagation speed cascaded with a PIDE. A parameter update law is designed using a Lyapunov argument and the infinite-dimensional backstepping technique to establish global stability results. Furthermore, the well-posedness of the closed-loop system is analyzed. Finally, the effectiveness of the proposed method was validated through numerical simulations

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Shanshan Wang, Jie Qi, Miroslav Krstic. 2023-07-09. Delay-Adaptive Control of First-order Hyperbolic PIDEs. https://arxiv.org/abs/2307.04212

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