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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…

Optimization and Control · Mathematics 2025-02-04 Paulo Cesar Souza Silva , Paulo Cesar Pellanda , Tiago Roux Oliveira

We study in this paper the problem of iterative feedback gains tuning for a class of nonlinear systems. We consider Input-Output linearizable nonlinear systems with additive uncertainties. We first design a nominal Input-Output…

Systems and Control · Computer Science 2016-11-15 Mouhacine Benosman

This paper presents a static event-triggered control strategy for multivariable Newton-based extremum seeking. The proposed method integrates event-triggered actuation into the Newton-based optimization framework to reduce control updates…

Optimization and Control · Mathematics 2026-01-22 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Miroslav Krstic , Paulo Tabuada

In [22] a form of extremum seeking for control (ESC) was developed for the stabilization of uncertain nonlinear systems. In ESC the extremum seeker itself controls the systems through feedback rather than fine tuning a controller. The ESC…

Dynamical Systems · Mathematics 2016-08-17 Alexander Scheinker , David Scheinker

The paper deals with the extremum seeking problem for a class of cost functions depending only on a part of state variables of a control system. This problem is related to the concept of partial asymptotic stability and analyzed by…

Optimization and Control · Mathematics 2020-02-07 Victoria Grushkovskaya , Alexander Zuyev

This paper discusses the design of an extremum seeking controller that relies on a monitoring function for a class of SISO uncertain nonlinear systems characterized by arbitrary and uncertain relative degree. Our demonstration illustrates…

Optimization and Control · Mathematics 2024-05-28 Nerito Oliveira Aminde , Tiago Roux Oliveira , Liu Hsu

This paper presents the design and analysis of an extremum seeking (ES) controller for scalar static maps in the context of infinite-dimensional dynamics governed by the 1D Euler-Bernoulli (EB) beam Partial Differential Equation (PDE). The…

Optimization and Control · Mathematics 2025-04-11 Paulo H. F. Biazetto , Gustavo A. de Andrade , Tiago Roux Oliveira , Miroslav Krstic

We study in this paper the problem of adaptive trajectory tracking for nonlinear systems affine in the control with bounded state-dependent and time-dependent uncertainties. We propose to use a modular approach, in the sense that we first…

Systems and Control · Computer Science 2015-07-21 Mouhacine Benosman , Meng Xia

We generalize the Safe Extremum Seeking algorithm to address the minimization of an unknown objective function subject to multiple unknown inequality and equality constraints, relying on recent results of gradient flow systems. These…

Optimization and Control · Mathematics 2025-10-09 Alan Williams , Jorge Cortés , Alexander Scheinker

Extremum Seeking Control (ESC) is a well-known set of continuous time algorithms for model-free optimization of a cost function. One issue for ESCs is the convergence rates of parameters to extrema of unknown cost functions. The local…

Optimization and Control · Mathematics 2024-09-20 Patrick McNamee , Zahra Nili Ahmadabadi

In this paper, we present a novel Newton-based extremum seeking controller for the solution of multivariable model-free optimization problems in static maps. Unlike existing asymptotic and fixed-time results in the literature, we present a…

Optimization and Control · Mathematics 2020-12-25 Jorge I. Poveda , Miroslav Krstic

This paper addresses the nonovershooting control problem for strict-feedback nonlinear systems with unknown control direction. We propose a method that integrates extremum seeking with Lie bracket-based design to achieve approximately…

Systems and Control · Electrical Eng. & Systems 2026-01-16 Kaixin Lu , Ziliang Lyu , Yanfang Mo , Yiguang Hong , Haoyong Yu

This paper addresses three complex control challenges related to input-saturated systems from a data-driven perspective. Unlike the traditional two-stage process involving system identification and model-based control, the proposed approach…

Optimization and Control · Mathematics 2024-05-14 Federico Porcari , Valentina Breschi , Luca Zaccarian , Simone Formentin

In this paper, we develop an extremum seeking control method integrated with iterative learning control to track a time-varying optimizer within finite time. The behavior of the extremum seeking system is analyzed via an approximating…

Optimization and Control · Mathematics 2017-12-19 Zhixing Cao , Hans-Bernd Dürr , Christian Ebenbauer , Frank Allgöwer , Furong Gao

In this work we study the problem of adaptive MPC for linear time-invariant uncertain models. We assume linear models with parametric uncertainties, and propose an iterative multi-variable extremum seeking (MES)-based learning MPC algorithm…

Systems and Control · Computer Science 2016-11-15 Mouhacine Benosman , Stefano Di Cairano , Avishai Weiss

In this paper, we deal with a network of agents that want to cooperatively minimize the sum of local cost functions depending on a common decision variable. We consider the challenging scenario in which objective functions are unknown and…

Optimization and Control · Mathematics 2024-11-08 Nicola Mimmo , Guido Carnevale , Andrea Testa , Giuseppe Notarstefano

In this paper, a combined formation acquisition and cooperative extremum seeking control scheme is proposed for a team of three robots moving on a plane. The extremum seeking task is to find the maximizer of an unknown two-dimensional…

Systems and Control · Computer Science 2019-10-16 Anna Skobeleva , Baris Fidan , V. Ugrinovskii , Ian R. Petersen

In this paper the finite-time stabilization problem is solved for a linear time-varying system with unknown control direction by exploiting a modified version of the classical extremum seeking algorithm. We propose to use a suitable…

Optimization and Control · Mathematics 2021-03-12 Adriano Mele , Gianmaria De Tommasi , Alfredo Pironti

We propose a new design strategy for extremum seeking control for a multi-dimensional single-integrator system in the presence of local extrema. The proposed method employs suitably designed sinusoidal dither signals, which force the…

Optimization and Control · Mathematics 2026-03-03 Raik Suttner , Christian Ebenbauer , Sergey Dashkovskiy

This paper proposes an adaptive control allocation approach for uncertain over-actuated systems with actuator saturation. The proposed method does not require uncertainty estimation or a persistent excitation assumption. Using the…

Systems and Control · Electrical Eng. & Systems 2020-08-21 Seyed Shahabaldin Tohidi , Yildiray Yildiz , Ilya Kolmanovsky