On the equivalence between functionally affine LPV state-space representations and LFT models
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908422302072832 |
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| author | Petreczky, Mihály Alkhoury, Ziad Mercère, Guillaume |
| author_facet | Petreczky, Mihály Alkhoury, Ziad Mercère, Guillaume |
| contents | We propose a transformation algorithm for a class of Linear Parameter-Varying (LPV) systems with functional affine dependence on parameters, where the system matrices depend affinely on nonlinear functions of the scheduling varable, into Linear Fractional Transformation (LFT) systems. The transformation preserves input-output behavior and minimality, and the uncertainity block of the resulting LFT system is linear in the scheduling variables of the LPV system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_14993 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the equivalence between functionally affine LPV state-space representations and LFT models Petreczky, Mihály Alkhoury, Ziad Mercère, Guillaume Optimization and Control We propose a transformation algorithm for a class of Linear Parameter-Varying (LPV) systems with functional affine dependence on parameters, where the system matrices depend affinely on nonlinear functions of the scheduling varable, into Linear Fractional Transformation (LFT) systems. The transformation preserves input-output behavior and minimality, and the uncertainity block of the resulting LFT system is linear in the scheduling variables of the LPV system. |
| title | On the equivalence between functionally affine LPV state-space representations and LFT models |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2505.14993 |