Robust stabilization of a class of switched nonlinear systems with time-varying delay and parametric uncertainty under asynchronous switching

Amin Taghieh; Farzad Hashemzadeh; Mohammad Hossein Shafiei

doi:10.1109/ICEE50131.2020.9261019

Robust stabilization of a class of switched nonlinear systems with time-varying delay and parametric uncertainty under asynchronous switching

Amin Taghieh, Farzad Hashemzadeh, Mohammad Hossein Shafiei

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper addresses the robust stabilization issue of switched systems with the essence of model uncertainties, time-varying delay, and nonlinear terms under asynchronous switching. The Lyapunov-Krasovskii functional approach and an average dwell time technique are utilized to establish sufficient conditions to compute the gains of a stabilizing switched controller. Obtained conditions are converted to linear matrix inequalities (LM/s) which rely on the upper bounds of the switching time lag between the system modes activation and the corresponding controller modes, the time-varying state delay, and the parameter uncertainties.

Original language	English
Title of host publication	2020 28th Iranian Conference on Electrical Engineering, ICEE 2020
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781728172965
DOIs	https://doi.org/10.1109/ICEE50131.2020.9261019
Publication status	Published - 4 Aug 2020
Externally published	Yes
Event	28th Iranian Conference on Electrical Engineering, ICEE 2020 - Tabriz, Iran, Islamic Republic of Duration: 4 Aug 2020 → 6 Aug 2020

Publication series

Name	2020 28th Iranian Conference on Electrical Engineering, ICEE 2020

Conference

Conference	28th Iranian Conference on Electrical Engineering, ICEE 2020
Country/Territory	Iran, Islamic Republic of
City	Tabriz
Period	4/08/20 → 6/08/20

Bibliographical note

Publisher Copyright:
© 2020 IEEE.

Keywords

Asynchronous switching
Continuous-time switched nonlinear systems
Model uncertainties
Stabilization
Time-varying delay

Access to Document

10.1109/ICEE50131.2020.9261019

Cite this

Taghieh, A., Hashemzadeh, F., & Shafiei, M. H. (2020). Robust stabilization of a class of switched nonlinear systems with time-varying delay and parametric uncertainty under asynchronous switching. In 2020 28th Iranian Conference on Electrical Engineering, ICEE 2020 Article 9261019 (2020 28th Iranian Conference on Electrical Engineering, ICEE 2020). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICEE50131.2020.9261019

Taghieh, Amin ; Hashemzadeh, Farzad ; Shafiei, Mohammad Hossein. / Robust stabilization of a class of switched nonlinear systems with time-varying delay and parametric uncertainty under asynchronous switching. 2020 28th Iranian Conference on Electrical Engineering, ICEE 2020. Institute of Electrical and Electronics Engineers Inc., 2020. (2020 28th Iranian Conference on Electrical Engineering, ICEE 2020).

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title = "Robust stabilization of a class of switched nonlinear systems with time-varying delay and parametric uncertainty under asynchronous switching",

abstract = "This paper addresses the robust stabilization issue of switched systems with the essence of model uncertainties, time-varying delay, and nonlinear terms under asynchronous switching. The Lyapunov-Krasovskii functional approach and an average dwell time technique are utilized to establish sufficient conditions to compute the gains of a stabilizing switched controller. Obtained conditions are converted to linear matrix inequalities (LM/s) which rely on the upper bounds of the switching time lag between the system modes activation and the corresponding controller modes, the time-varying state delay, and the parameter uncertainties.",

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author = "Amin Taghieh and Farzad Hashemzadeh and Shafiei, \{Mohammad Hossein\}",

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year = "2020",

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doi = "10.1109/ICEE50131.2020.9261019",

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Taghieh, A, Hashemzadeh, F & Shafiei, MH 2020, Robust stabilization of a class of switched nonlinear systems with time-varying delay and parametric uncertainty under asynchronous switching. in 2020 28th Iranian Conference on Electrical Engineering, ICEE 2020., 9261019, 2020 28th Iranian Conference on Electrical Engineering, ICEE 2020, Institute of Electrical and Electronics Engineers Inc., 28th Iranian Conference on Electrical Engineering, ICEE 2020, Tabriz, Iran, Islamic Republic of, 4/08/20. https://doi.org/10.1109/ICEE50131.2020.9261019

Robust stabilization of a class of switched nonlinear systems with time-varying delay and parametric uncertainty under asynchronous switching. / Taghieh, Amin; Hashemzadeh, Farzad; Shafiei, Mohammad Hossein.
2020 28th Iranian Conference on Electrical Engineering, ICEE 2020. Institute of Electrical and Electronics Engineers Inc., 2020. 9261019 (2020 28th Iranian Conference on Electrical Engineering, ICEE 2020).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Shafiei, Mohammad Hossein

PY - 2020/8/4

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N2 - This paper addresses the robust stabilization issue of switched systems with the essence of model uncertainties, time-varying delay, and nonlinear terms under asynchronous switching. The Lyapunov-Krasovskii functional approach and an average dwell time technique are utilized to establish sufficient conditions to compute the gains of a stabilizing switched controller. Obtained conditions are converted to linear matrix inequalities (LM/s) which rely on the upper bounds of the switching time lag between the system modes activation and the corresponding controller modes, the time-varying state delay, and the parameter uncertainties.

AB - This paper addresses the robust stabilization issue of switched systems with the essence of model uncertainties, time-varying delay, and nonlinear terms under asynchronous switching. The Lyapunov-Krasovskii functional approach and an average dwell time technique are utilized to establish sufficient conditions to compute the gains of a stabilizing switched controller. Obtained conditions are converted to linear matrix inequalities (LM/s) which rely on the upper bounds of the switching time lag between the system modes activation and the corresponding controller modes, the time-varying state delay, and the parameter uncertainties.

KW - Asynchronous switching

KW - Continuous-time switched nonlinear systems

KW - Model uncertainties

KW - Stabilization

KW - Time-varying delay

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M3 - Conference contribution

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PB - Institute of Electrical and Electronics Engineers Inc.

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Taghieh A, Hashemzadeh F, Shafiei MH. Robust stabilization of a class of switched nonlinear systems with time-varying delay and parametric uncertainty under asynchronous switching. In 2020 28th Iranian Conference on Electrical Engineering, ICEE 2020. Institute of Electrical and Electronics Engineers Inc. 2020. 9261019. (2020 28th Iranian Conference on Electrical Engineering, ICEE 2020). doi: 10.1109/ICEE50131.2020.9261019

Robust stabilization of a class of switched nonlinear systems with time-varying delay and parametric uncertainty under asynchronous switching

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