Direct data-driven interpolation and approximation of linear parameter-varying system trajectories
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918164145635328 |
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| author | Verhoek, Chris Markovsky, Ivan Tóth, Roland |
| author_facet | Verhoek, Chris Markovsky, Ivan Tóth, Roland |
| contents | We consider the problem of estimating missing values in trajectories of linear parameter-varying (LPV) systems. We solve this interpolation problem for the class of shifted-affine LPV systems. Conditions for the existence and uniqueness of solutions are given and a direct data-driven algorithm for its computation is presented, i.e., the data-generating system is not given by a parametric model but is implicitly specified by data. We illustrate the applicability of the proposed solution on illustrative examples of a mass-spring-damper system with exogenous and endogenous parameter variation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_11332 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Direct data-driven interpolation and approximation of linear parameter-varying system trajectories Verhoek, Chris Markovsky, Ivan Tóth, Roland Systems and Control Signal Processing Optimization and Control We consider the problem of estimating missing values in trajectories of linear parameter-varying (LPV) systems. We solve this interpolation problem for the class of shifted-affine LPV systems. Conditions for the existence and uniqueness of solutions are given and a direct data-driven algorithm for its computation is presented, i.e., the data-generating system is not given by a parametric model but is implicitly specified by data. We illustrate the applicability of the proposed solution on illustrative examples of a mass-spring-damper system with exogenous and endogenous parameter variation. |
| title | Direct data-driven interpolation and approximation of linear parameter-varying system trajectories |
| topic | Systems and Control Signal Processing Optimization and Control |
| url | https://arxiv.org/abs/2508.11332 |