[HTML][HTML] Multi-time scale control and optimization via averaging and singular perturbation theory: From ODEs to hybrid dynamical systems

M Abdelgalil, DE Ochoa, JI Poveda - Annual Reviews in Control, 2023 - Elsevier
Multi-time scale techniques based on singular perturbations and averaging theory are
among the most powerful tools developed for the synthesis and analysis of feedback control …

Unified frameworks for sampled-data extremum seeking control: Global optimisation and multi-unit systems

SZ Khong, D Nešić, Y Tan, C Manzie - Automatica, 2013 - Elsevier
Two frameworks are proposed for extremum seeking of general nonlinear plants based on a
sampled-data control law, within which a broad class of nonlinear programming methods is …

Distributed extremum seeking for real-time resource allocation

J Poveda, N Quijano - 2013 American Control Conference, 2013 - ieeexplore.ieee.org
In this paper we present a distributed extremum seeking control, designed to perform real-
time resource allocation in multi-agent systems (MAS). The algorithm allows the optimal …

Asymptotic stability of perturbation-based extremum-seeking control for nonlinear plants

M Haring, TA Johansen - IEEE Transactions on Automatic …, 2016 - ieeexplore.ieee.org
We introduce a perturbation-based extremum-seeking controller for general nonlinear
dynamical plants with an arbitrary number of tunable plant parameters. The controller …

Extremum seeking control and gradient estimation based on the Super-Twisting algorithm

I Torres-Zuniga, F Lopez-Caamal… - Journal of Process …, 2021 - Elsevier
This article addresses the problem of extremum seeking of a continuous-time dynamical
system with a single input and a single output. A Super-Twisting-based optimization …

On Lie-bracket averaging for a class of hybrid dynamical systems with applications to model-free control and optimization

M Abdelgalil, JI Poveda - arXiv preprint arXiv:2308.15732, 2023 - arxiv.org
Dynamical systems characterized by oscillatory behaviors and well-defined average vector
fields have traditionally been subjects of stability analysis through methodologies rooted in …

Continuous-time zeroth-order dynamics with projection maps: Model-free feedback optimization with safety guarantees

X Chen, JI Poveda, N Li - arXiv preprint arXiv:2303.06858, 2023 - arxiv.org
This paper introduces a class of model-free feedback methods for solving generic
constrained optimization problems where the specific mathematical forms of the objective …

A shahshahani gradient based extremum seeking scheme

J Poveda, N Quijano - 2012 IEEE 51st IEEE Conference on …, 2012 - ieeexplore.ieee.org
We present a novel scheme of a deterministic continuous extremum seeking control based
on evolutionary game theory (EGT), which allows the optimization in real-time of non …

Extremum-seeking in singularly perturbed hybrid systems

RJ Kutadinata, WH Moase… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
This technical note considers the stability of a class of singularly perturbed hybrid systems
with a continuous slow subsystem. This type of system encompasses many slowly-varying …

Experimental closed-loop control of separated-flow over a plain flap using extremum seeking

T Chabert, J Dandois, É Garnier - Experiments in Fluids, 2016 - Springer
The lift coefficient of a configuration made of a flat plate with a trailing-edge plain flap is
maximized at post-stall conditions by driving automatically the forcing frequency of a fluidic …