Non-overshooting output shaping for switched linear systems under arbitrary switching using eigenstructure assignment
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915756649742336 |
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| author | Wulff, Kai Honecker, Maria Christine Schmid, Robert Reger, Johann |
| author_facet | Wulff, Kai Honecker, Maria Christine Schmid, Robert Reger, Johann |
| contents | We consider the analytical control design for a pair of switched linear multiple-input multiple-output (MIMO) systems that are subject to arbitrary switching signals. A state feedback controller design method is proposed to obtain an eigenstructure assignment that ensures that the closed-loop switched system is globally asymptotically stable, and the outputs achieve the non-overshooting tracking of a step reference. Our analysis indicates whether non-overshooting or even monotonic tracking is achievable for the given system and considered outputs and provides a choice of possible eigenstructures to be assigned to the constituent subsystems. We derive a structural condition that verifies the feasibility of the chosen assignment. A constructive algorithm to obtain suitable feedback matrices is provided, and the method is illustrated with numerical examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_06688 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-overshooting output shaping for switched linear systems under arbitrary switching using eigenstructure assignment Wulff, Kai Honecker, Maria Christine Schmid, Robert Reger, Johann Systems and Control Optimization and Control We consider the analytical control design for a pair of switched linear multiple-input multiple-output (MIMO) systems that are subject to arbitrary switching signals. A state feedback controller design method is proposed to obtain an eigenstructure assignment that ensures that the closed-loop switched system is globally asymptotically stable, and the outputs achieve the non-overshooting tracking of a step reference. Our analysis indicates whether non-overshooting or even monotonic tracking is achievable for the given system and considered outputs and provides a choice of possible eigenstructures to be assigned to the constituent subsystems. We derive a structural condition that verifies the feasibility of the chosen assignment. A constructive algorithm to obtain suitable feedback matrices is provided, and the method is illustrated with numerical examples. |
| title | Non-overshooting output shaping for switched linear systems under arbitrary switching using eigenstructure assignment |
| topic | Systems and Control Optimization and Control |
| url | https://arxiv.org/abs/2410.06688 |