Toggle Main Menu Toggle Search

Open Access padlockePrints

Approximately bi-similar symbolic model for discrete-time interconnected switched system

Lookup NU author(s): Dr Yang Song, Dr Wanqing ZhaoORCiD

Downloads

Full text for this publication is not currently held within this repository. Alternative links are provided below where available.


Abstract

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.


Publication metadata

Author(s): Song Y, Liu Y, Zhao W

Publication type: Article

Publication status: Published

Journal: IEEE/CAA Journal of Automatica Sinica

Year: 2024

Volume: 11

Issue: 10

Pages: 2185 - 2187

Print publication date: 01/10/2024

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


Altmetrics

Altmetrics provided by Altmetric


Share