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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.20827 |
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| _version_ | 1866912172583419904 |
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| author | Mazko, A. G. |
| author_facet | Mazko, A. G. |
| contents | The problem of a generalized type of $H_\infty$-control is investigated for a class of admissible descriptor systems with a non-zero initial vector. A generalized performance measure is used, which characterizes the weighted damping level of external and initial disturbances. A non-degenerate transformation of the system is proposed, which allows to apply known methods for evaluation and the achievement of desired performance measures for conventional lower-order systems. A numerical example of a controlled hydraulic system with three tanks is given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20827 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Equivalent transformation and weighted $H_\infty$-optimization of linear descriptor systems Mazko, A. G. Optimization and Control 93B36 The problem of a generalized type of $H_\infty$-control is investigated for a class of admissible descriptor systems with a non-zero initial vector. A generalized performance measure is used, which characterizes the weighted damping level of external and initial disturbances. A non-degenerate transformation of the system is proposed, which allows to apply known methods for evaluation and the achievement of desired performance measures for conventional lower-order systems. A numerical example of a controlled hydraulic system with three tanks is given. |
| title | Equivalent transformation and weighted $H_\infty$-optimization of linear descriptor systems |
| topic | Optimization and Control 93B36 |
| url | https://arxiv.org/abs/2412.20827 |