Stabilization and the Design of Switching Laws of a Class of Switched Singularly Perturbed Systems via the Composite Control

This paper proves that the controller design for switched singularly perturbed systems can be synthesized from the controllers of individual slow–fast subsystems. Under the switching rules of individual slow–fast subsystems, switched singularly perturbed systems can be stabilized under a small value...

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Veröffentlicht in:Mathematics (Basel) 2021-07, Vol.9 (14), p.1664
Hauptverfasser: Chao, Chun-Tang, Chen, Ding-Horng, Chiou, Juing-Shian
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Sprache:eng
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Zusammenfassung:This paper proves that the controller design for switched singularly perturbed systems can be synthesized from the controllers of individual slow–fast subsystems. Under the switching rules of individual slow–fast subsystems, switched singularly perturbed systems can be stabilized under a small value of ε. The switching rule is designed on the basis of state transformation of the individual subsystems.
ISSN:2227-7390
2227-7390
DOI:10.3390/math9141664