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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 introduces a novel model-free, real-time unicycle-based source seeking design. This design autonomously steers the unicycle dynamic system towards the extremum point of an objective function or physical/scalar signal that is…

Optimization and Control · Mathematics 2026-04-21 Rohan Palanikumar , Ahmed A. Elgohary , Victoria Grushkovskaya , Sameh A. Eisa

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 consider a three-dimensional problem of steering a nonholonomic vehicle to seek an unknown source of a spatially distributed signal field without any position measurement. In the literature, there exists an extremum seeking-based…

Robotics · Computer Science 2016-11-09 Jinbiao Lin , Shiji Song , Keyou You , Cheng Wu

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

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

The topics of source seeking and Newton-based extremum seeking have flourished, independently, but never combined. We present the first Newton-based source seeking algorithm. The algorithm employs forward velocity tuning, as in the very…

Systems and Control · Electrical Eng. & Systems 2023-07-25 Velimir Todorovski , Miroslav Krstic

All the existing source-seeking algorithms for unicycle models in GPS-denied settings guarantee at best an exponential rate of convergence over an infinite interval. Using the recently introduced time-varying feedback tools for…

Systems and Control · Electrical Eng. & Systems 2023-03-31 Velimir Todorovski , Miroslav Krstic

Extremum seeking control (ESC) often employs perturbation-based estimates of derivatives for some sensor field or cost function. These estimates are generally obtained by simply multiplying the output of a single-unit sensor by some…

Systems and Control · Electrical Eng. & Systems 2025-09-23 Dylan James-Kavanaugh , Patrick McNamee , Qixu Wang , Zahra Nili Ahmadabadi

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

We present a novel extremum seeking method for affine connection mechanical control systems. The proposed control law involves periodic perturbation signals with sufficiently large amplitudes and frequencies. A suitable averaging analysis…

Optimization and Control · Mathematics 2022-11-30 Raik Suttner

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 introduces an event-triggered source seeking control (ET-SSC) for autonomous vehicles modeled as the nonholonomic unicycle. The classical source seeking control is enhanced with static-triggering conditions to enable aperiodic…

Optimization and Control · Mathematics 2025-04-11 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Miroslav Krstic

In this paper, we propose and practically evaluate a class of gradient-free control functions ensuring the motion of a unicycle-type system towards the extremum point of a time-varying cost function. We prove that the unicycle is able to…

Optimization and Control · Mathematics 2019-02-08 Victoria Grushkovskaya , Simon Michalowsky , Alexander Zuyev , Max May , Christian Ebenbauer

In this paper a search algorithm is proposed to find a sub optimal path for a non-holonomic system. For this purpose the algorithm starts sampling the front part of the vehicle and moves towards the destination with a cost function. The…

Robotics · Computer Science 2016-12-21 Mahdi Morsali , Fatemeh Mohseni

Navigation tasks often cannot be defined in terms of a target, either because global position information is unavailable or unreliable or because target location is not explicitly known a priori. This task is then often defined indirectly…

Optimization and Control · Mathematics 2019-09-18 Bruno A. Angélico , Luiz F. O. Chamon , Santiago Paternain , Alejandro Ribeiro , George J. Pappas

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

Nonlocal models have recently had a major impact in nonlinear continuum mechanics and are used to describe physical systems/processes which cannot be accurately described by classical, calculus based "local" approaches. In part, this is due…

Optimization and Control · Mathematics 2021-03-10 Sriram Nagaraj

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

Solutions to conservation laws satisfy the monotonicity property: the number of local extrema is a non-increasing function of time, and local maximum/minimum values decrease/increase monotonically in time. This paper investigates this…

Numerical Analysis · Mathematics 2007-11-06 Philippe G. LeFloch , Jian-Guo Liu
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