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Artigo em periódicoOpen Access

Extremum seeking control for actuation dynamics governed by a wave PDE with distributed effects

MUCHAVE, Elisio Juvenal2026MUCHAVE, Elisio Juvenal; COUTINHO, Pedro Henrique Silva; OLIVEIRA, Tiago Roux; KRSTIC, Miroslav

2026 • Systems & Control Letters

Resumo

Resumo

This paper deals with the gradient-based extremum seeking control (ESC) with actuation dynamics governed by distributed wave partial differential equations (PDEs). To achieve the control objective of real-time optimization for this class of infinite-dimensional systems, we first solve the trajectory generation problem to re-design the additive perturbation signal of the ESC system. Then, we develop a boundary control law through the backstepping method to compensate for the wave PDE with distributed effects, which ensures the exponential stability of the average closed-loop system by means of a Lyapunov-based analysis. At last, by employing the averaging theory for infinite-dimensional systems, we prove that the closed-loop trajectories converge to a small neighborhood surrounding the optimal point. Numerical simulations are presented to illustrate the effectiveness of the proposed method.

Autoria

Autores do grupo (1)

A lista completa de autores está no topo da página. Abaixo, apenas os pesquisadores do e-Controls vinculados a esta publicação.

Pedro Henrique Silva Coutinho

Pedro Henrique Silva Coutinho

Pesquisador

palavras-chave

Palavras-chave

extremum seeking controldistributed effectsreal-time optimizationdistributed parameter systemstrajectory generationboundary controlbackstepping controlexponential stabilityaveraging theory

Volume

218

Páginas

106573

Editora

Elsevier BV

Status

Published

links

DOI

10.1016/j.sysconle.2026.106573

Link Externo

https://doi.org/10.1016/j.sysconle.2026.106573

Repositório

https://doi.org/10.2139/ssrn.6174100

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