Extremum Seeking for Linear Time-Varying Systems with Unknown Control Directions
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913654845210624 |
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| author | Mazenc, Frederic Malisoff, Michael Fridman, Emilia |
| author_facet | Mazenc, Frederic Malisoff, Michael Fridman, Emilia |
| contents | We consider bounded extremum seeking controls for time-varying linear systems with uncertain coefficient matrices and measurement uncertainty. Using a new change of variables, Lyapunov functions, and a comparison principle, we provide practical exponential stability bounds for the states of the closed loop systems that hold for all nonnegative times. For the first time for linear time-varying systems with unknown control directions, we consider bounded extremum seeking controls in the presence of uncertain time-varying input delays with small time-varying delay uncertainties, and we provide reduction model controllers to compensate for the constant part of the delays. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13344 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Extremum Seeking for Linear Time-Varying Systems with Unknown Control Directions Mazenc, Frederic Malisoff, Michael Fridman, Emilia Optimization and Control We consider bounded extremum seeking controls for time-varying linear systems with uncertain coefficient matrices and measurement uncertainty. Using a new change of variables, Lyapunov functions, and a comparison principle, we provide practical exponential stability bounds for the states of the closed loop systems that hold for all nonnegative times. For the first time for linear time-varying systems with unknown control directions, we consider bounded extremum seeking controls in the presence of uncertain time-varying input delays with small time-varying delay uncertainties, and we provide reduction model controllers to compensate for the constant part of the delays. |
| title | Extremum Seeking for Linear Time-Varying Systems with Unknown Control Directions |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2408.13344 |