Regularity Properties of Optimization-Based Controllers
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866916348898050048 |
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| author | Mestres, Pol Allibhoy, Ahmed Cortés, Jorge |
| author_facet | Mestres, Pol Allibhoy, Ahmed Cortés, Jorge |
| contents | This paper studies regularity properties of optimization-based controllers, which are obtained by solving optimization problems where the parameter is the system state and the optimization variable is the input to the system. Under a wide range of assumptions on the optimization problem data, we provide an exhaustive collection of results about their regularity, and examine their implications on the existence and uniqueness of solutions and the forward invariance guarantees for the resulting closed-loop systems. We discuss the broad relevance of the results in different areas of systems and controls. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_13167 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Regularity Properties of Optimization-Based Controllers Mestres, Pol Allibhoy, Ahmed Cortés, Jorge Optimization and Control This paper studies regularity properties of optimization-based controllers, which are obtained by solving optimization problems where the parameter is the system state and the optimization variable is the input to the system. Under a wide range of assumptions on the optimization problem data, we provide an exhaustive collection of results about their regularity, and examine their implications on the existence and uniqueness of solutions and the forward invariance guarantees for the resulting closed-loop systems. We discuss the broad relevance of the results in different areas of systems and controls. |
| title | Regularity Properties of Optimization-Based Controllers |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2311.13167 |