Unit-Vector Control Design under Saturating Actuators
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_ | 1866909573520031744 |
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| author | Vitório, Andevaldo da Encarnação Coutinho, Pedro Henrique Silva Bessa, Iury Rodrigues, Victor Hugo Pereira Oliveira, Tiago Roux |
| author_facet | Vitório, Andevaldo da Encarnação Coutinho, Pedro Henrique Silva Bessa, Iury Rodrigues, Victor Hugo Pereira Oliveira, Tiago Roux |
| contents | This paper deals with unit vector control design for multivariable polytopic uncertain systems under saturating actuators. For that purpose, we propose LMI-based conditions to design the unit vector control gain such that the origin of the closed-loop system is finite-time stable. Moreover, an optimization problem is provided to obtain an enlarged estimate of the region of attraction of the equilibrium point for the closed-loop system, where the convergence of trajectories is ensured even in the presence of saturation functions. Numerical simulations illustrate the effectiveness of the proposed approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07239 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unit-Vector Control Design under Saturating Actuators Vitório, Andevaldo da Encarnação Coutinho, Pedro Henrique Silva Bessa, Iury Rodrigues, Victor Hugo Pereira Oliveira, Tiago Roux Optimization and Control Systems and Control This paper deals with unit vector control design for multivariable polytopic uncertain systems under saturating actuators. For that purpose, we propose LMI-based conditions to design the unit vector control gain such that the origin of the closed-loop system is finite-time stable. Moreover, an optimization problem is provided to obtain an enlarged estimate of the region of attraction of the equilibrium point for the closed-loop system, where the convergence of trajectories is ensured even in the presence of saturation functions. Numerical simulations illustrate the effectiveness of the proposed approach. |
| title | Unit-Vector Control Design under Saturating Actuators |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2504.07239 |