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arXiv · 2507.07749

A Model-Free Extremum Seeking Controller with Application to Tracking a Nonlinear Chemical Reaction

Alexander Zuyev·Victoria Grushkovska
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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.

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Alexander Zuyev, Victoria Grushkovska. 2025-07-10. A Model-Free Extremum Seeking Controller with Application to Tracking a Nonlinear Chemical Reaction. https://doi.org/10.1109/codit66093.2025.11321555

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