Stability and stabilization for a class of switched PWA systems with modal average dwell time

Yanzheng Zhu; Wei Xing Zheng

doi:10.1109/ISCAS48785.2022.9937439

Stability and stabilization for a class of switched PWA systems with modal average dwell time

Yanzheng Zhu, Wei Xing Zheng

Western Sydney University

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

Abstract

In this paper, the stability and stabilization issues are investigated for a class of discrete-time switched piecewise affine systems with modal average dwell time switching. Both the autonomous (state-partition-dependent) switching and the controlled (modal average dwell time) switching appear concurrently in the studied system. At first, the exponential stability criterion is derived using the proposed piecewise quadratic Lyapunov function approach. Then the state feedback controller in the piecewise affine form is designed to achieve stabilization for the resulting closed-loop switched piecewise affine system. In the end, the effectiveness and accuracy of the theoretical findings are testified via a numerical example.

Original language	English
Title of host publication	Proceedings of the 2022 IEEE International Symposium on Circuits and Systems (ISCAS), 27 May - 1 June 2022, Austin, Texas, USA
Publisher	IEEE
Pages	123-127
Number of pages	5
ISBN (Print)	9781665484862
DOIs	https://doi.org/10.1109/ISCAS48785.2022.9937439
Publication status	Published - 2022
Event	IEEE International Symposium on Circuits and Systems - Duration: 1 Jan 2022 → …

Conference

Conference	IEEE International Symposium on Circuits and Systems
Period	1/01/22 → …

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10.1109/ISCAS48785.2022.9937439

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@inproceedings{0d42073efb0c4110bcf4581660e6e500,

title = "Stability and stabilization for a class of switched PWA systems with modal average dwell time",

abstract = "In this paper, the stability and stabilization issues are investigated for a class of discrete-time switched piecewise affine systems with modal average dwell time switching. Both the autonomous (state-partition-dependent) switching and the controlled (modal average dwell time) switching appear concurrently in the studied system. At first, the exponential stability criterion is derived using the proposed piecewise quadratic Lyapunov function approach. Then the state feedback controller in the piecewise affine form is designed to achieve stabilization for the resulting closed-loop switched piecewise affine system. In the end, the effectiveness and accuracy of the theoretical findings are testified via a numerical example.",

author = "Yanzheng Zhu and Zheng, {Wei Xing}",

year = "2022",

doi = "10.1109/ISCAS48785.2022.9937439",

language = "English",

isbn = "9781665484862",

pages = "123--127",

booktitle = "Proceedings of the 2022 IEEE International Symposium on Circuits and Systems (ISCAS), 27 May - 1 June 2022, Austin, Texas, USA",

publisher = "IEEE",

note = "IEEE International Symposium on Circuits and Systems ; Conference date: 01-01-2022",

}

Zhu, Y & Zheng, WX 2022, Stability and stabilization for a class of switched PWA systems with modal average dwell time. in Proceedings of the 2022 IEEE International Symposium on Circuits and Systems (ISCAS), 27 May - 1 June 2022, Austin, Texas, USA. IEEE, pp. 123-127, IEEE International Symposium on Circuits and Systems, 1/01/22. https://doi.org/10.1109/ISCAS48785.2022.9937439

TY - GEN

T1 - Stability and stabilization for a class of switched PWA systems with modal average dwell time

AU - Zhu, Yanzheng

AU - Zheng, Wei Xing

PY - 2022

Y1 - 2022

N2 - In this paper, the stability and stabilization issues are investigated for a class of discrete-time switched piecewise affine systems with modal average dwell time switching. Both the autonomous (state-partition-dependent) switching and the controlled (modal average dwell time) switching appear concurrently in the studied system. At first, the exponential stability criterion is derived using the proposed piecewise quadratic Lyapunov function approach. Then the state feedback controller in the piecewise affine form is designed to achieve stabilization for the resulting closed-loop switched piecewise affine system. In the end, the effectiveness and accuracy of the theoretical findings are testified via a numerical example.

AB - In this paper, the stability and stabilization issues are investigated for a class of discrete-time switched piecewise affine systems with modal average dwell time switching. Both the autonomous (state-partition-dependent) switching and the controlled (modal average dwell time) switching appear concurrently in the studied system. At first, the exponential stability criterion is derived using the proposed piecewise quadratic Lyapunov function approach. Then the state feedback controller in the piecewise affine form is designed to achieve stabilization for the resulting closed-loop switched piecewise affine system. In the end, the effectiveness and accuracy of the theoretical findings are testified via a numerical example.

UR - https://hdl.handle.net/1959.7/uws:78456

U2 - 10.1109/ISCAS48785.2022.9937439

DO - 10.1109/ISCAS48785.2022.9937439

M3 - Conference Paper

SN - 9781665484862

SP - 123

EP - 127

BT - Proceedings of the 2022 IEEE International Symposium on Circuits and Systems (ISCAS), 27 May - 1 June 2022, Austin, Texas, USA

PB - IEEE

T2 - IEEE International Symposium on Circuits and Systems

Y2 - 1 January 2022

ER -

Stability and stabilization for a class of switched PWA systems with modal average dwell time

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