Data-driven Dissipativity Analysis of Linear Parameter-Varying Systems
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911949075251200 |
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| author | Verhoek, Chris Berberich, Julian Haesaert, Sofie Allgöwer, Frank Tóth, Roland |
| author_facet | Verhoek, Chris Berberich, Julian Haesaert, Sofie Allgöwer, Frank Tóth, Roland |
| contents | We derive direct data-driven dissipativity analysis methods for Linear Parameter-Varying (LPV) systems using a single sequence of input-scheduling-output data. By means of constructing a semi-definite program subject to linear matrix inequality constraints based on this data-dictionary, direct data-driven verification of $(Q,S,R)$-type of dissipativity properties of the data-generating LPV system is achieved. Multiple implementation methods are proposed to achieve efficient computational properties and to even exploit structural information on the scheduling, e.g., rate bounds. The effectiveness and trade-offs of the proposed methodologies are shown in simulation studies of academic and physically realistic examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_10031 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Data-driven Dissipativity Analysis of Linear Parameter-Varying Systems Verhoek, Chris Berberich, Julian Haesaert, Sofie Allgöwer, Frank Tóth, Roland Systems and Control We derive direct data-driven dissipativity analysis methods for Linear Parameter-Varying (LPV) systems using a single sequence of input-scheduling-output data. By means of constructing a semi-definite program subject to linear matrix inequality constraints based on this data-dictionary, direct data-driven verification of $(Q,S,R)$-type of dissipativity properties of the data-generating LPV system is achieved. Multiple implementation methods are proposed to achieve efficient computational properties and to even exploit structural information on the scheduling, e.g., rate bounds. The effectiveness and trade-offs of the proposed methodologies are shown in simulation studies of academic and physically realistic examples. |
| title | Data-driven Dissipativity Analysis of Linear Parameter-Varying Systems |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2303.10031 |