Extremum seeking for dynamic maps using Lie brackets and singular perturbations

DOI10.1016/j.automatica.2017.05.002zbMath1373.93224DBLPjournals/automatica/DurrKSE17OpenAlexW2626507689WikidataQ59621305 ScholiaQ59621305MaRDI QIDQ1679081

Hans-Bernd Dürr, Alexander Scheinker, Christian Ebenbauer, Krstić, Miroslav

Publication date: 8 November 2017

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2017.05.002

zbMATH Keywords

singular perturbationsextremum seekingLie bracket approximations

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Time-scale analysis and singular perturbations in control/observation systems (93C70) Control/observation systems governed by ordinary differential equations (93C15) Stability of control systems (93D99)

Related Items (11)

Extremum seeking control with attenuated steady-state oscillations ⋮ Stochastic source seeking with forward and angular velocity regulation ⋮ Gradient free cooperative seeking of a moving source ⋮ 100 years of extremum seeking: a survey ⋮ Nonholonomic source seeking in three dimensions using pitch and yaw torque inputs ⋮ Practical prescribed-time seeking of a repulsive source by unicycle angular velocity tuning ⋮ Extremum-seeking control for optimization of time-varying steady-state responses of nonlinear systems ⋮ Extremum seeking control with an adaptive dither signal ⋮ On a class of generating vector fields for the extremum seeking problem: Lie bracket approximation and stability properties ⋮ Cooperative source seeking via networked multi-vehicle systems ⋮ Lie bracket approximation-based extremum seeking with vanishing input oscillations

Cites Work

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• Unified frameworks for sampled-data extremum seeking control: global optimisation and multi-unit systems
• Singularly Perturbed Lie Bracket Approximation
• Real‐Time Optimization by Extremum‐Seeking Control
• Nonholonomic Source Seeking With Tuning of Angular Velocity

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