International Journal of Robust and Nonlinear Control

RESEARCH ARTICLE

Practical stability for switched affine systems via time-dependent switching function

Xiaozeng Xu

orcid.org/0000-0002-3087-5196

School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, China

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Yang Li,

Yang Li

orcid.org/0000-0002-7188-1832

School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, China

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Hongbin Zhang,

Corresponding Author

Hongbin Zhang

[email protected]

orcid.org/0000-0001-9841-0961

School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, China

Correspondence Hongbin Zhang, School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China.

Email: [email protected]

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Wei Chen,

Wei Chen

Institute of Emergency Management, University of Electronic Science and Technology of China, Chengdu, China

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Qunxian Zheng,

Qunxian Zheng

orcid.org/0000-0002-5341-2186

School of Electrical Engineering, Anhui Polytechnic University, Wuhu, China

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Xiaozeng Xu,

Xiaozeng Xu

orcid.org/0000-0002-3087-5196

School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, China

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Yang Li,

Yang Li

orcid.org/0000-0002-7188-1832

School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, China

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Hongbin Zhang,

Corresponding Author

Hongbin Zhang

[email protected]

orcid.org/0000-0001-9841-0961

School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, China

Correspondence Hongbin Zhang, School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China.

Email: [email protected]

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Wei Chen,

Wei Chen

Institute of Emergency Management, University of Electronic Science and Technology of China, Chengdu, China

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Qunxian Zheng,

Qunxian Zheng

orcid.org/0000-0002-5341-2186

School of Electrical Engineering, Anhui Polytechnic University, Wuhu, China

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First published: 02 October 2021

https://doi.org/10.1002/rnc.5791

Citations: 4

Funding information: National Natural Science Foundation of China, 61803001; 61971100

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Abstract

In this article, the stability analysis of both continuous-time switched affine systems discrete-time switched affine systems is addressed via dwell time switching. Since the information of system states is difficult to obtain in the state-dependent switching function, the time-dependent switching function is considered to stabilize the switched affine system. The purpose of this article is to design a time-dependent switching function assuring the state trajectories are globally attracted to an attractive set containing the desired equilibrium point (which is selected from a set of attainable equilibrium points). By constructing discretized Lyapunov function, a set of conditions in the framework of dwell time are designed to guarantee practical stability of the state trajectories. At last, some numerical examples are given to illustrate our method and compare it with the existing results.

Open Research

DATA AVAILABILITY STATEMENT

The data that support the findings of this study are available from the corresponding author upon reasonable request.

CONFLICT OF INTEREST

No conflict of interest exists in the submission of this manuscript, and the manuscript is approved by all authors for publication. I would like to declare on behalf of my coauthors that the work described was original research that has not been published previously, and not under consideration for publication elsewhere, in whole or in part. All the authors listed have approved the manuscript that is enclosed.

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