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Communication Dans Un Congrès Année : 2022

Prescribed-time control for a class of semilinear hyperbolic PDE-ODE systems

Résumé

A prediction-based controller is shown to achieve prescribed-time stabilization of a nonlinear infinite-dimensional system, which consists of a general boundary controlled firstorder semilinear hyperbolic PDE that is bidirectionally interconnected with nonlinear ODEs at its unactuated boundary. The approach uses a coordinate transformation to map the nonlinear system into a form suitable for control. In particular, this transformation is based on predictions of system trajectories, which can be obtained by solving a general nonlinear Volterra integrodifferential equation. Then, a prediction-based controller is designed to stabilize the system in prescribed-time. Numerical simulations illustrate the performance of both the prescribed-time controller and an asymptotically stabilizing one, which follows as a special case.
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Dates et versions

hal-03834645 , version 1 (30-10-2022)

Identifiants

  • HAL Id : hal-03834645 , version 1

Citer

Abdurrahman Irscheid, Nicolás Espitia, Wilfrid Perruquetti, Joachim Rudolph. Prescribed-time control for a class of semilinear hyperbolic PDE-ODE systems. IFAC 4th Control of Systems Governed by Partial Differential Equations, Sep 2022, Kiel, Germany. ⟨hal-03834645⟩
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