A Model-Free Extremum Seeking Controller with Application to Tracking a Nonlinear Chemical Reaction
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914256479322112 |
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| author | Zuyev, Alexander Grushkovska, Victoria |
| author_facet | Zuyev, Alexander Grushkovska, Victoria |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_07749 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Model-Free Extremum Seeking Controller with Application to Tracking a Nonlinear Chemical Reaction Zuyev, Alexander Grushkovska, Victoria Optimization and Control 93C40, 49N30, 93D21, 93C95 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. |
| title | A Model-Free Extremum Seeking Controller with Application to Tracking a Nonlinear Chemical Reaction |
| topic | Optimization and Control 93C40, 49N30, 93D21, 93C95 |
| url | https://arxiv.org/abs/2507.07749 |