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arXiv · 2502.00861

Multivariable Stochastic Newton-Based Extremum Seeking with Delays

Paulo Cesar Souza Silva·Paulo Cesar Pellanda·Tiago Roux Oliveira
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Abstract

This paper presents a Newton-based stochastic extremum-seeking control method for real-time optimization in multi-input systems with distinct input delays. It combines predictor-based feedback and Hessian inverse estimation via stochastic perturbations to enable delay compensation with user-defined convergence rates. The method ensures exponential stability and convergence near the unknown extremum, even under long delays. It extends to multi-input, single-output systems with cross-coupled channels. Stability is analyzed using backstepping and infinite-dimensional averaging. Numerical simulations demonstrate its effectiveness in handling time-delayed channels, showcasing both the challenges and benefits of real-time optimization in distributed parameter settings.

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Paulo Cesar Souza Silva, Paulo Cesar Pellanda, Tiago Roux Oliveira. 2025-02-02. Multivariable Stochastic Newton-Based Extremum Seeking with Delays. https://arxiv.org/abs/2502.00861

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