{"ID":2896133,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2507.07749","arxiv_id":"2507.07749","title":"A Model-Free Extremum Seeking Controller with Application to Tracking a Nonlinear Chemical Reaction","abstract":"In this paper, we develop the extremum-seeking approach to generate admissible trajectories in a neighborhood of a given reference curve in the state space. The cost function of the problem represents the distance between the current system state and the reference curve, which is parameterized as a function of time. Such reference curves naturally arise as optimal trajectories in isoperimetric optimization problems for nonlinear chemical reactions, where the objective is to maximize the average reaction product over a given period. We apply the proposed extremum seeking control design to a nonisothermal reaction model and illustrate the resulting tracking errors through numerical simulations.","short_abstract":"In this paper, we develop the extremum-seeking approach to generate admissible trajectories in a neighborhood of a given reference curve in the state space. The cost function of the problem represents the distance between the current system state and the reference curve, which is parameterized as a function of time. Su...","url_abs":"https://arxiv.org/abs/2507.07749","url_pdf":"https://arxiv.org/pdf/2507.07749v1","authors":"[\"Alexander Zuyev\",\"Victoria Grushkovska\"]","published":"2025-07-10T13:28:05Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}