Extremum Seeking Control for Multivariable Maps under Actuator Saturation
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917982407491584 |
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| author | Silva, Enzo Ferreira Tomaz Coutinho, Pedro Henrique Silva Oliveira, Tiago Roux Krstić, Miroslav |
| author_facet | Silva, Enzo Ferreira Tomaz Coutinho, Pedro Henrique Silva Oliveira, Tiago Roux Krstić, Miroslav |
| contents | This paper deals with the gradient-based extremum seeking control for multivariable maps under actuator saturation. By exploiting a polytopic embedding of the unknown Hessian, we derive a LMI-based synthesis condition to ensure that the origin of the average closed-loop error system is exponentially stable. Then, the convergence of the extremum seeking control system under actuator saturation to the unknown optimal point is proved by employing Lyapunov stability and averaging theories. Numerical simulations illustrate the efficacy of the proposed approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_08005 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extremum Seeking Control for Multivariable Maps under Actuator Saturation Silva, Enzo Ferreira Tomaz Coutinho, Pedro Henrique Silva Oliveira, Tiago Roux Krstić, Miroslav Optimization and Control Systems and Control This paper deals with the gradient-based extremum seeking control for multivariable maps under actuator saturation. By exploiting a polytopic embedding of the unknown Hessian, we derive a LMI-based synthesis condition to ensure that the origin of the average closed-loop error system is exponentially stable. Then, the convergence of the extremum seeking control system under actuator saturation to the unknown optimal point is proved by employing Lyapunov stability and averaging theories. Numerical simulations illustrate the efficacy of the proposed approach. |
| title | Extremum Seeking Control for Multivariable Maps under Actuator Saturation |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2504.08005 |