Transformation-Free Fixed-Structure Model Reduction for LPV Systems
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909144864260096 |
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| author | Heeren, Lennart Datar, Adwait Gonzalez, Antonio Mendez Werner, Herbert |
| author_facet | Heeren, Lennart Datar, Adwait Gonzalez, Antonio Mendez Werner, Herbert |
| contents | In this paper, we propose a model reduction technique for linear parameter varying (LPV) systems based on available tools for fixed-structure controller synthesis. We start by transforming a model reduction problem into an equivalent controller synthesis problem by defining an appropriate generalized plant. The controller synthesis problem is then solved by using gradient-based tools available in the literature. Owing to the flexibility of the gradient-based synthesis tools, we are able to impose a desired structure on the obtained reduced model. Additionally, we obtain a bound on the approximation error as a direct output of the optimization problem. The proposed methods are applied on a benchmark mechanical system of interconnected masses, springs and dampers. To evaluate the effect of the proposed model-reduction approach on controller design, LPV controllers designed using the reduced models (with and without an imposed structure) are compared in closed-loop with the original model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_14310 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Transformation-Free Fixed-Structure Model Reduction for LPV Systems Heeren, Lennart Datar, Adwait Gonzalez, Antonio Mendez Werner, Herbert Systems and Control In this paper, we propose a model reduction technique for linear parameter varying (LPV) systems based on available tools for fixed-structure controller synthesis. We start by transforming a model reduction problem into an equivalent controller synthesis problem by defining an appropriate generalized plant. The controller synthesis problem is then solved by using gradient-based tools available in the literature. Owing to the flexibility of the gradient-based synthesis tools, we are able to impose a desired structure on the obtained reduced model. Additionally, we obtain a bound on the approximation error as a direct output of the optimization problem. The proposed methods are applied on a benchmark mechanical system of interconnected masses, springs and dampers. To evaluate the effect of the proposed model-reduction approach on controller design, LPV controllers designed using the reduced models (with and without an imposed structure) are compared in closed-loop with the original model. |
| title | Transformation-Free Fixed-Structure Model Reduction for LPV Systems |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2403.14310 |