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Delay-Adaptive Control of First-order Hyperbolic PIDEs
  • Jie Qi,
  • Shanshan Wang,
  • Miroslav Krstic
Jie Qi
Donghua University College of Information Science and Technology

Corresponding Author:[email protected]

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Shanshan Wang
University of Shanghai for Science and Technology School of Optical-Electrical and Computer Engineering
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Miroslav Krstic
University of California San Diego Department of Mechanical and Aerospace Engineering
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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.
03 Jul 2023Submitted to International Journal of Robust and Nonlinear Control
04 Jul 2023Submission Checks Completed
04 Jul 2023Assigned to Editor
04 Jul 2023Review(s) Completed, Editorial Evaluation Pending
10 Jul 2023Reviewer(s) Assigned
28 Sep 2023Editorial Decision: Revise Minor
08 Nov 20231st Revision Received
11 Nov 2023Submission Checks Completed
11 Nov 2023Assigned to Editor
11 Nov 2023Review(s) Completed, Editorial Evaluation Pending
16 Nov 2023Reviewer(s) Assigned