Non-overshooting output shaping for switched linear systems under arbitrary switching using eigenstructure assignment
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 switch...
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| Main Authors | , , , |
|---|---|
| Format | Journal Article |
| Language | English |
| Published |
09.10.2024
|
| Subjects | |
| Online Access | Get full text |
| DOI | 10.48550/arxiv.2410.06688 |
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| Abstract | 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. |
|---|---|
| AbstractList | 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. |
| Author | Reger, Johann Wulff, Kai Honecker, Maria Christine Schmid, Robert |
| Author_xml | – sequence: 1 givenname: Kai surname: Wulff fullname: Wulff, Kai – sequence: 2 givenname: Maria Christine surname: Honecker fullname: Honecker, Maria Christine – sequence: 3 givenname: Robert surname: Schmid fullname: Schmid, Robert – sequence: 4 givenname: Johann surname: Reger fullname: Reger, Johann |
| BackLink | https://doi.org/10.48550/arXiv.2410.06688$$DView paper in arXiv |
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| Snippet | We consider the analytical control design for a pair of switched linear
multiple-input multiple-output (MIMO) systems that are subject to arbitrary
switching... |
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| SubjectTerms | Computer Science - Systems and Control Mathematics - Optimization and Control |
| Title | Non-overshooting output shaping for switched linear systems under arbitrary switching using eigenstructure assignment |
| URI | https://arxiv.org/abs/2410.06688 |
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