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Related papers: Extremum Seeking for Controlled Vibrational Stabil…

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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

This paper investigates extremum seeking control for a torque-controlled antenna pointing system without direct angular measurements. We consider a two-degree-of-freedom (2-DOF) antenna system that receives an unknown signal from its…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Bo Wang , Hashem Ashrafiuon , Sergey G. Nersesov

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 the problem of global extremum seeking in the presence of local extrema. We investigate two different perturbation-based methods: 1) a well-known classical extremum seeking scheme for steady-state output optimization, and 2) a…

Optimization and Control · Mathematics 2026-03-04 Raik Suttner , Christian Ebenbauer , Sergey Dashkovskiy

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 extremum seeking control for static scalar maps with actuators governed by distributed diffusion partial differential equations (PDEs). To achieve the real-time optimization objective, we design a…

Optimization and Control · Mathematics 2024-06-04 Pedro Henrique Silva Coutinho , Tiago Roux Oliveira , 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

To be useful for quantum computation, gate operations must be maintained at high fidelities over long periods of time. In addition to decoherence, slow drifts in control hardware leads to inaccurate gates, causing the quality of operation…

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 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

This paper focuses on the further development of the Lie bracket approximation approach for optimization and control via extremum seeking systems. Classical results in this area provide algorithms with exponential convergence rates for…

Optimization and Control · Mathematics 2026-05-25 Victoria Grushkovskaya , Sameh A. Eisa

We present multivariable extremum seeking (ES) designs that achieve unbiased convergence to the optimum. Two designs are introduced: one with exponential unbiased convergence (unbiased extremum seeker, uES) and the other with…

Optimization and Control · Mathematics 2024-01-02 Cemal Tugrul Yilmaz , Mamadou Diagne , Miroslav Krstic

In this paper, we study a tracking control problem for linear time-invariant systems, with model parametric uncertainties, under input and states constraints. We apply the idea of modular design introduced in Benosman et al. 2014, to solve…

Systems and Control · Computer Science 2015-12-09 Anantharaman Subbaraman , Mouhacine Benosman

Extremum seeking systems are powerful methods able to steer the input of a (dynamical) cost function towards an optimizer, without any prior knowledge of the cost function. To achieve their objective, they typically combine time-periodic…

Optimization and Control · Mathematics 2022-04-11 Christophe Labar , Christian Ebenbauer , Lorenzo Marconi

This paper proposes a non-adaptive control solution framework to the practical output regulation problem (PORP) for a class of nonlinear systems with uncertain parameters, unknown control directions and uncertain exosystem dynamics. The…

Optimization and Control · Mathematics 2025-06-17 Shimin Wang , Martin Guay , Denis Dochain

Many autonomous robots aimed at source-seeking are studied, and their controls designed, using unicycle modeling and formulation. This is true not only for model-based controllers, but also for model-free, real-time control methods such as…

Robotics · Computer Science 2025-09-22 Ahmed A. Elgohary , Sameh A. Eisa , Shivam Bajpai

This paper focuses on the further development of the Lie bracket approximation approach for extremum seeking systems. Classical results in this area provide extremum seeking algorithms with exponential convergence rates for quadratic-like…

Optimization and Control · Mathematics 2025-10-28 Victoria Grushkovskaya , Sameh A. Eisa

This paper deals with the gradient-based extremum seeking control for multivariable maps under actuator saturation. By exploiting a polytopic embedding of the unknown Hessian, we derive a LMI-based synthesis condition to ensure that the…

Optimization and Control · Mathematics 2025-04-14 Enzo Ferreira Tomaz Silva , Pedro Henrique Silva Coutinho , Tiago Roux Oliveira , Miroslav Krstić

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

We develop a method for the model reference adaptive control (MRAC) of LTI systems via Extremum Seeking (ES). Our proof of global asymptotic tracking enables design of the adaptive controller to satisfy averaging requirements, and…

Dynamical Systems · Mathematics 2012-07-25 Poorya Haghi , Kartik B. Ariyur