Convex NMPC reformulations for a special class of nonlinear multi-input systems with application to rank-one bilinear networks
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866909622525231104 |
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| author | Klädtke, Manuel Darup, Moritz Schulze |
| author_facet | Klädtke, Manuel Darup, Moritz Schulze |
| contents | We show that a special class of (nonconvex) NMPC problems admits an exact solution by reformulating them as a finite number of convex subproblems, extending previous results to the multi-input case. Our approach is applicable to a special class of input-affine discrete-time systems, which includes a class of bilinear rank-one systems that is considered useful in modeling certain controlled networks. We illustrate our results with two numerical examples, including the aforementioned rank-one bilinear network. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_08147 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Convex NMPC reformulations for a special class of nonlinear multi-input systems with application to rank-one bilinear networks Klädtke, Manuel Darup, Moritz Schulze Systems and Control Optimization and Control We show that a special class of (nonconvex) NMPC problems admits an exact solution by reformulating them as a finite number of convex subproblems, extending previous results to the multi-input case. Our approach is applicable to a special class of input-affine discrete-time systems, which includes a class of bilinear rank-one systems that is considered useful in modeling certain controlled networks. We illustrate our results with two numerical examples, including the aforementioned rank-one bilinear network. |
| title | Convex NMPC reformulations for a special class of nonlinear multi-input systems with application to rank-one bilinear networks |
| topic | Systems and Control Optimization and Control |
| url | https://arxiv.org/abs/2304.08147 |