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Related papers: Global Output-Feedback Extremum Seeking Control wi…

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In this paper, we study the problem of extremum seeking control for mechanical systems in dissipation-free environments. This includes attitude control of satellites in space and displacement control of rigid bodies in ideal fluids. The…

Optimization and Control · Mathematics 2022-11-30 Raik Suttner , Miroslav Krstic

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

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

This paper studies a stochastic extremum seeking method to steer a nonholonomic vehicle to the unknown source of a static spatially distributed filed in a plane. The key challenge lies in the lack of vehicle's position information and the…

Optimization and Control · Mathematics 2016-11-16 Jinbiao Lin , Shiji Song , Keyou You , Miroslav Krstic

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

We present a method for finding optimal controllers for unknown, time-varying, dynamic systems which can be re-initialized from a given initial condition repeatedly, in which the performance measure is available for sampling with noise, but…

Optimization and Control · Mathematics 2018-08-16 Alexander Scheinker , David Scheinker

This paper addresses the design and analysis of an extremum-seeking (ES) controller for scalar static maps in the context of infinite-dimensional dynamics governed by complex-valued partial differential equations (PDEs) of Schrodinger type.…

Optimization and Control · Mathematics 2025-11-18 Paulo Henrique Foganholo Biazetto , Gustavo Artur de Andrade , Tiago Roux Oliveira , Miroslav Krstic

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 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

We present the design and experimental validation of source seeking control algorithms for a unicycle mobile robot that is equipped with novel 3D-printed flexible graphene-based piezoresistive airflow sensors. Based solely on a local…

Robotics · Computer Science 2021-06-22 Tinghua Li , Bayu Jayawardhana , Amar Kamat , Ajay Giri Prakash Kottapalli

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

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, 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

In recent years, an approach to extremum seeking control made it possible to design control vector fields that lead to asymptotic stability of the minimum point provided that the minimum value of the function is known a priori. In this…

Optimization and Control · Mathematics 2021-11-25 Mahmoud Abdelgalil , Haithem Taha

In an active power distribution system, Volt-VAR optimization (VVO) methods are employed to achieve network-level objectives such as minimization of network power losses. The commonly used model-based centralized and distributed VVO…

Systems and Control · Electrical Eng. & Systems 2021-07-12 Hongda Ren , Rahul Ranjan Jha , Anamika Dubey , Noel N. Schulz

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

In this paper, we consider controlling a class of single-input-single-output (SISO) commensurate fractional-order nonlinear systems with parametric uncertainty and external disturbance. Based on backstepping approach, an adaptive controller…

Systems and Control · Electrical Eng. & Systems 2020-05-15 Xinyao Li , Changyun Wen , Ying Zou

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

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

Reinforcement learning for control over continuous spaces typically uses high-entropy stochastic policies, such as Gaussian distributions, for local exploration and estimating policy gradient to optimize performance. Many robotic control…

Machine Learning · Computer Science 2024-04-03 Ya-Chien Chang , Sicun Gao