An iterative scheme for finite horizon model reduction of continuous-time linear time-varying systems
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866913577514827776 |
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| author | Das, Kasturi Krishnaswamy, Srinivasan Majhi, Somanath |
| author_facet | Das, Kasturi Krishnaswamy, Srinivasan Majhi, Somanath |
| contents | In this paper, we obtain the functional derivatives of a finite horizon error norm between a full-order and a reduced-order continuous-time linear time-varying (LTV) system. Based on the functional derivatives, first-order necessary conditions for optimality of the error norm are derived, and a projection-based iterative scheme for model reduction is proposed. The iterative scheme upon convergence produces reduced-order models satisfying the optimality conditions. Finally, through a numerical example, we demonstrate the better performance of the proposed model reduction scheme in comparison to the finite horizon balanced truncation algorithm for continuous-time LTV systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_00921 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | An iterative scheme for finite horizon model reduction of continuous-time linear time-varying systems Das, Kasturi Krishnaswamy, Srinivasan Majhi, Somanath Systems and Control In this paper, we obtain the functional derivatives of a finite horizon error norm between a full-order and a reduced-order continuous-time linear time-varying (LTV) system. Based on the functional derivatives, first-order necessary conditions for optimality of the error norm are derived, and a projection-based iterative scheme for model reduction is proposed. The iterative scheme upon convergence produces reduced-order models satisfying the optimality conditions. Finally, through a numerical example, we demonstrate the better performance of the proposed model reduction scheme in comparison to the finite horizon balanced truncation algorithm for continuous-time LTV systems. |
| title | An iterative scheme for finite horizon model reduction of continuous-time linear time-varying systems |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2309.00921 |