Equivalent transformation and weighted $H_\infty$-optimization of linear descriptor systems
UDC 517.925.51; 681.5.03 We study the problem of generalized $H_\infty$-control for a class of linear descriptor systems with nonzero initial vector. We use a generalized performance measure characterizing the weighted level of damping of external and initial disturbances. A nondegenerate tra...
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| Datum: | 2026 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2026
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/8976 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 517.925.51; 681.5.03
We study the problem of generalized $H_\infty$-control for a class of linear descriptor systems with nonzero initial vector. We use a generalized performance measure characterizing the weighted level of damping of external and initial disturbances. A nondegenerate transformation of the system is proposed, which allows us to apply well-known methods for the evaluation and attainment of the desired performance criteria for conventional lower-order systems. A numerical example of a controlled hydraulic system with three tanks is presented. |
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| DOI: | 10.3842/umzh.v77i5.8976 |