Model-Free Source Seeking by a Novel Single-Integrator with Attenuating Oscillations and Better Convergence: Robotic Experiments

S Bajpai, AA Elgohary, SA Eisa - arXiv preprint arXiv:2311.04330, 2023 - arxiv.org
The classic extremum seeking control (ESC) system has been used, including in
experiments, for over a decade as a mean for model-free, real-time method to steer systems …

Gradient and Lie Bracket Estimation of Extremum Seeking Systems: A Novel Geometric-based Kalman Filter and Relaxed Time-dependent Stability Condition

S Pokhrel, SA Eisa - International Journal of Control, Automation and …, 2023 - Springer
Extremum seeking control (ESC) is an adaptive control technique, introduced nearly a
century ago, to drive a dynamic system to the extremum of an objective function that may not …

Higher order Lie bracket approximation and averaging of control-affine systems with application to extremum seeking

S Pokhrel, SA Eisa - arXiv preprint arXiv:2310.07092, 2023 - arxiv.org
This paper provides a rigorous derivation for what is known in the literature as the Lie
bracket approximation of control-affine systems. In fact, by using Chronological calculus, we …

A Novel Newton-Based Extremum Seeking Controller for Dynamic Soaring

S Pokhrel, SA Eisa - 2024 European Control Conference (ECC …, 2024 - ieeexplore.ieee.org
Dynamic soaring is a remarkable flight strategy employed by soaring birds like albatrosses
to harness energy from the atmospheric wind gradient. This strategy is so efficient that …

Unbiased Extremum Seeking Based on Lie Bracket Averaging

CT Yilmaz, M Diagne, M Krstic - arXiv preprint arXiv:2403.16294, 2024 - arxiv.org
Extremum seeking is an online, model-free optimization algorithm traditionally known for its
practical stability. This paper introduces an extremum seeking algorithm designed for …

Extremum seeking by multi-agent vehicles and UAVs with no steady state oscillation using a geometric-based Kalman filtering

S Pokhrel, AA Elgohary, S Eisa - AIAA SCITECH 2024 Forum, 2024 - arc.aiaa.org
Extremum Seeking Control (ESC) systems possess the appealing capability of
autonomously driving a dynamical system toward the extremum point of an objective …

Model-Free Source Seeking by a Novel Single-Integrator with Attenuating Oscillations and Better Convergence Rate: Robotic Experiments

S Bajpai, AA Elgohary, SA Eisa - 2024 European Control …, 2024 - ieeexplore.ieee.org
In this paper we validate, including experimentally, the effectiveness of a recent theoretical
developments made by our group on control-affine Extremum Seeking Control (ESC) …

Reintroducing the Formation Flight Problem via Extremum Seeking Control

B Moidel, AA Elgohary, S Bajpai, S Eisa - AIAA SCITECH 2024 Forum, 2024 - arc.aiaa.org
Flying in formation, as observed among migratory birds, has the potential to save significant
amounts of energy when flying long distances. However, maintaining precise position …

A Novel Use of Model Predictive Control with Extremum Seeking in Formation Flight

AA Elgohary, B Moidel - AIAA SCITECH 2024 Forum, 2024 - arc.aiaa.org
A well-known benefit of formation flight is a reduction in power required to fly. Some
migrating birds exploit this phenomenon and fly in formation to reduce energy expenditure …