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Communication Dans Un Congrès Année : 2021

Prescribed-time predictor control of LTI systems with distributed input delay

Résumé

This paper deals with prescribed-time stabilization of controllable linear systems with distributed input delay. We model the input delay as a transport PDE and reformulate the original problem as a cascade PDE-ODE system while accounting for the infinite dimensionality of the actuator. We build on reduction-based and backstepping-forwarding transformations to convert the system into a target system having the prescribed-time stability property. Then, we prove the bounded invertibility of the transformations and hence we show that the prescribed-time stability property is preserved into the original problem. To better illustrate the ideas of this approach, we focus first on the scalar case. Then, we give a sketch of the main lines for the general case. To this end, we choose the ODE dynamics of the target system to be a Linear Time-Varying system so that we can rely on recent developments which include a polynomial-based Vandermonde matrix and the generalized Laguerre polynomials that allow a compact formulation for the stability analysis. A simulation example is presented to illustrate the obtained results.
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Dates et versions

hal-03514452 , version 1 (06-01-2022)

Identifiants

  • HAL Id : hal-03514452 , version 1

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Salim Zekraoui, Nicolás Espitia, Wilfrid Perruquetti. Prescribed-time predictor control of LTI systems with distributed input delay. 60th IEEE Conference on Decision and Control, Dec 2021, Austin (virtual), United States. ⟨hal-03514452⟩
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