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

Chun-Tang Chao, Ding-Horng Chen and Juing-Shian Chiou
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Chun-Tang Chao: Department of Electrical Engineering, Southern Taiwan University of Science and Technology, 1, Nan-Tai St., Yongkang District, Tainan 71005, Taiwan
Ding-Horng Chen: Department of Computer Science and Information Engineering, Southern Taiwan University of Science and Technology, Tainan 71005, Taiwan
Juing-Shian Chiou: Department of Electrical Engineering, Southern Taiwan University of Science and Technology, 1, Nan-Tai St., Yongkang District, Tainan 71005, Taiwan

Mathematics, 2021, vol. 9, issue 14, 1-11

Abstract: 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 ? . The switching rule is designed on the basis of state transformation of the individual subsystems.

Keywords: singularly perturbed systems; switched systems; Lyapunov functions; switched laws (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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