Stabilization of Integral Delay Equations by solving Fredholm equations - Archive ouverte HAL
Article Dans Une Revue IEEE Control Systems Letters Année : 2024

Stabilization of Integral Delay Equations by solving Fredholm equations

Jean Auriol

Résumé

In this paper, we design a stabilizing state- feedback control law for a system represented by a general class of integral delay equations subject to a pointwise and distributed input delay. The proposed controller is defined in terms of integrals of the state and input his- tory over a fixed-length time window. We show that the closed-loop stability is guaranteed, provided the controller integral kernels are solutions to a set of Fredholm equa- tions. The existence of solutions is guaranteed under an appropriate spectral controllability assumption, resulting in an implementable stabilizing control law. The proposed methodology appears simpler and more general compared to existing results in the literature. In particular, under additional regularity assumptions, the proposed approach can be expanded to address the degenerate case where only a distributed control term is present.
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Dates et versions

hal-04575032 , version 1 (14-05-2024)

Identifiants

  • HAL Id : hal-04575032 , version 1

Citer

Jean Auriol. Stabilization of Integral Delay Equations by solving Fredholm equations. IEEE Control Systems Letters, In press. ⟨hal-04575032⟩
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