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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Online-Zugang: | https://arxiv.org/abs/2405.06759 |
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| _version_ | 1866913346559672320 |
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| author | Waterman, Adam Guay, Martin Dochain, Denis |
| author_facet | Waterman, Adam Guay, Martin Dochain, Denis |
| contents | We propose a dual mode extremum seeking control design technique that achieves real-time optimization of an unknown measured cost function in a prescribed time. The controller is shown to achieve semi-global practical stability of the optimal equilibrium for the state variables and the input variable for a class of nonlinear dynamical control systems with unknown dynamics. The design technique proposes a timescale transformation that enables the use of dither signals with increasing frequencies. The proposed timescale transformation is designed to avoid the singularity occurring at the prescribed time. A simulation study is performed to demonstrate the effectiveness of the proposed technique. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06759 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Prescribed Time Dual-Mode Extremum Seeking Control Waterman, Adam Guay, Martin Dochain, Denis Optimization and Control We propose a dual mode extremum seeking control design technique that achieves real-time optimization of an unknown measured cost function in a prescribed time. The controller is shown to achieve semi-global practical stability of the optimal equilibrium for the state variables and the input variable for a class of nonlinear dynamical control systems with unknown dynamics. The design technique proposes a timescale transformation that enables the use of dither signals with increasing frequencies. The proposed timescale transformation is designed to avoid the singularity occurring at the prescribed time. A simulation study is performed to demonstrate the effectiveness of the proposed technique. |
| title | Prescribed Time Dual-Mode Extremum Seeking Control |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2405.06759 |