Stabilization of switched time-delay systems with only unstable subsystems: a new approach based on a vibration model of 1.5 degrees of freedom

Teng Fu and Yusheng Zhou

Applied Mathematics and Computation, 2022, vol. 415, issue C

Abstract: This paper presents a new state-dependent switching strategy for stabilization of switched time-delay systems with all subsystems being unstable. When time-delays are not small enough, the delayed subsystem can be approximated as a third-order linear delay-free system by using third-order Taylor expansion. Then, a special vibration model with a nonholonomic constraint is introduced to match the obtained third-order linear system. On this basis, the energy function of the original delayed subsystem is constructed by the sum of the kinetic and potential energies of the special vibration model. After that, a state-dependent switching rule with large energy loss in a switching loop is designed by using the energy functions of two delayed subsystems. Finally, excellent agreement is found between our analytical results and the corresponding numerical simulations.

Keywords: State-dependent switching rule; Switched time-delay system; Third-order Taylor approximation; Vibration model of 1.5 degrees of freedom; Asymptotic stability (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300321008225
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:415:y:2022:i:c:s0096300321008225

DOI: 10.1016/j.amc.2021.126740

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().