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Lookup NU author(s): Dr Yang Song, Dr Wanqing ZhaoORCiD
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IEEEDear Editor, This letter concerns the development of approximately bi-similar symbolic models for a discrete-time interconnected switched system (DT-ISS). The DT-ISS under consideration is formed by connecting multiple switched systems known as component switched systems (CSSs). Although the problem of constructing approximately bi-similar symbolic models for DT-ISS has been addressed in some literature, the previous works have relied on the assumption that all the subsystems of CSSs are incrementally input-state stable. By removing this stability assumption on subsystems, this letter considers a more general DT-ISS and studies the compositional construction of the approximately bi-similar symbolic model of such DT-ISS. To achieve this, firstly, the component symbolic models (CSMs) of CSSs are constructed using the grid method. Additionally, the component bi-simulation functions between them are established, and sufficient conditions for their existence are provided. Next, a compositional construction approach is applied to interconnect the CSMs of the CSSs, resulting in the symbolic model of the DT-ISS. Moreover, the bi-simulation functions between the DT-ISS and its symbolic model are presented, along with sufficient conditions for their existence. Finally, a simulation example is presented to verify the conclusions.
Author(s): Song Y, Liu Y, Zhao W
Publication type: Article
Publication status: Published
Journal: IEEE/CAA Journal of Automatica Sinica
Year: 2024
Pages: epub ahead of print
Online publication date: 02/01/2024
Acceptance date: 02/04/2023
ISSN (print): 2329-9266
ISSN (electronic): 2329-9274
Publisher: Institute of Electrical and Electronics Engineers Inc.
URL: https://doi.org/10.1109/JAS.2023.123927
DOI: 10.1109/JAS.2023.123927
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