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This article aims to provide an accessible, tutorial-style introduction to hybrid extremum-seeking systems, which are model-free, feedback-optimization controllers that incorporate hybrid dynamics, meaning both continuous-time and…

Optimization and Control · Mathematics 2025-12-18 Jorge I. Poveda , Andrew R. Teel

This paper proposes a discrete-time event-triggered extremum seeking control scheme for real-time optimization of nonlinear systems. Unlike conventional discrete-time implementations relying on periodic updates, the proposed approach…

Optimization and Control · Mathematics 2026-04-03 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Miroslav Krstić , Frank Allgöwer

This paper studies the extremum seeking control (ESC) problem for a class of constrained nonlinear systems. Specifically, we focus on a family of constraints allowing to reformulate the original nonlinear system in the so-called…

Optimization and Control · Mathematics 2021-03-24 Shuai Yuan , Filippo Fabiani , Simone Baldi

This paper presents the design of an extremum seeking controller based on sliding modes and cyclic search for real-time optimization of non-linear multivariable dynamic systems. These systems have arbitrary relative degree, compensated by…

Optimization and Control · Mathematics 2024-07-31 Nerito Oliveira Aminde , Tiago Roux Oliveira , Liu Hsu

This paper presents an extremum seeking control algorithm with an adaptive step-size that adjusts the aggressiveness of the controller based on the quality of the gradient estimate. The adaptive step-size ensures that the integral-action…

Optimization and Control · Mathematics 2021-12-21 Claus Danielson , Scott A. Bortoff , Ankush Chakrabarty

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

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…

Optimization and Control · Mathematics 2026-01-07 Elisio Juvenal Muchave , Pedro Henrique Silva Coutinho , Tiago Roux Oliveira , Miroslav Krstić

Existing extremum-seeking control (ESC) approaches typically rely on applying repeated perturbations to input parameters and performing measurements of the corresponding performance output. The required separation between the different…

Systems and Control · Electrical Eng. & Systems 2025-10-06 Wouter Weekers , Alessandro Saccon , Nathan van de Wouw

Asymmetric damping is widely used in passive vehicle suspensions, with rebound damping often recommended to exceed compression damping by a factor of two to three. Despite its prevalence, this guideline remains largely empirical and lacks a…

Computational Engineering, Finance, and Science · Computer Science 2026-05-08 José Geraldo Telles Ribeiro , Americo Cunha

Recently significant progress has been made in vehicle prediction and planning algorithms for autonomous driving. However, it remains quite challenging for an autonomous vehicle to plan its trajectory in complex scenarios when it is…

Robotics · Computer Science 2023-07-25 Xiangguo Liu , Ruochen Jiao , Yixuan Wang , Yimin Han , Bowen Zheng , Qi Zhu

In this paper, we systematically investigate the feasibility of different extremum-seeking (ES) control schemes to improve the conversion efficiency of wave energy converters (WECs). Continuous-time and model-free ES schemes based on the…

Systems and Control · Electrical Eng. & Systems 2020-12-02 Luca Parrinello , Panagiotis Dafnakis , Giovanni Bracco , Peiman Naseradinmousavi , Giuliana Mattiazzo , Amneet Pal Singh Bhalla

The recent advancement in vehicular networking technology provides novel solutions for designing intelligent and sustainable vehicle motion controllers. This work addresses a car-following task, where the feedback linearisation method is…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Sheng Yu , Xiao Pan , Anastasis Georgiou , Boli Chen , Imad M. Jaimoukha , Simos A. Evangelou

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

Grid-forming (GFM) inverters are essential for enhancing stability in modern power systems with high penetration of inverter-based resources (IBRs). However, their performance highly depends on control parameters tuning, particularly the…

Systems and Control · Electrical Eng. & Systems 2026-05-15 Kyung-Bin Kwon , Min Gyung Yu , Sayak Mukherjee , Timothy I. Salsbury

This paper presents a controller design and optimization framework for nonlinear dynamic systems to track a given reference signal in the presence of disturbances when the task is repeated over a finite-time interval. This novel framework…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Jiapeng Xu , Ying Tan , Xiang Chen

There have been recent efforts that combine seemingly disparate methods, extremum seeking (ES) optimization and partial differential equation (PDE) backstepping, to address the problem of model-free optimization with PDE actuator dynamics.…

Optimization and Control · Mathematics 2024-03-26 Cemal Tugrul Yilmaz , Mamadou Diagne , Miroslav Krstic

Control schemes for autonomous systems are often designed in a way that anticipates the worst case in any situation. At runtime, however, there could exist opportunities to leverage the characteristics of specific environment and operation…

Systems and Control · Electrical Eng. & Systems 2020-05-11 Chao Huang , Shichao Xu , Zhilu Wang , Shuyue Lan , Wenchao Li , Qi Zhu

We develop a physics-informed learning framework for energy-shaping control of port-Hamiltonian (pH) systems from trajectory data. The proposed approach co-learns a pH system model and an optimal energy-balancing passivity-based controller…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Ankur Kamboj , Biswadip Dey , Vaibhav Srivastava

Extremum seeking feedback is a powerful method to steer a dynamical system to an extremum of a partially or completely unknown map. It often requires advanced system-theoretic tools to understand the qualitative behavior of extremum seeking…

Dynamical Systems · Mathematics 2012-12-07 Hans-Bernd Dürr , Miloš S. Stanković , Christian Ebenbauer , Karl H. Johansson

In this paper, a class of nonlinear driftless control-affine systems satisfying the bracket generating condition is considered. A gradient-free optimization algorithm is developed for the minimization of a cost function along the…

Optimization and Control · Mathematics 2021-05-13 Victoria Grushkovskaya , Alexander Zuyev
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