Extended finite-time H∞ control for uncertain switched linear neutral systems with time-varying delays

Shun Wang; Tiange Shi; Lixian Zhang; Ajay Jasra; Ming Zeng

doi:10.1016/j.neucom.2014.10.047

Extended finite-time H∞ control for uncertain switched linear neutral systems with time-varying delays

Shun Wang, Tiange Shi, Lixian Zhang, Ajay Jasra, Ming Zeng

Research output: Contribution to journal › Article › peer-review

45 Scopus citations

Abstract

This paper is concerned with the finite-time H∞ control problem for a class of uncertain switched linear neutral systems with time-varying delays. By fully exploiting the mode-dependency of the proposed Lyapunov-Krasovskii functionals, the considered systems could be further investigated with stable and unstable subsystems being concurrently contained. Sufficient criteria are first derived for ensuring finite-time boundedness of the underlying system with a given maximum ratio of activation time between unstable subsystems and stable ones. Then the H∞ performance analysis and the memory state-feedback controller design are carried out for a given performance index. Finally, two numerical examples are presented to illustrate the potential and advantages of the developed findings.

Original language	English (US)
Journal	Neurocomputing
Volume	152
DOIs	https://doi.org/10.1016/j.neucom.2014.10.047
State	Published - Jan 1 2015
Externally published	Yes

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10.1016/j.neucom.2014.10.047

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AU - Zhang, Lixian

AU - Jasra, Ajay

AU - Zeng, Ming

N1 - Generated from Scopus record by KAUST IRTS on 2019-11-20

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N2 - This paper is concerned with the finite-time H∞ control problem for a class of uncertain switched linear neutral systems with time-varying delays. By fully exploiting the mode-dependency of the proposed Lyapunov-Krasovskii functionals, the considered systems could be further investigated with stable and unstable subsystems being concurrently contained. Sufficient criteria are first derived for ensuring finite-time boundedness of the underlying system with a given maximum ratio of activation time between unstable subsystems and stable ones. Then the H∞ performance analysis and the memory state-feedback controller design are carried out for a given performance index. Finally, two numerical examples are presented to illustrate the potential and advantages of the developed findings.

AB - This paper is concerned with the finite-time H∞ control problem for a class of uncertain switched linear neutral systems with time-varying delays. By fully exploiting the mode-dependency of the proposed Lyapunov-Krasovskii functionals, the considered systems could be further investigated with stable and unstable subsystems being concurrently contained. Sufficient criteria are first derived for ensuring finite-time boundedness of the underlying system with a given maximum ratio of activation time between unstable subsystems and stable ones. Then the H∞ performance analysis and the memory state-feedback controller design are carried out for a given performance index. Finally, two numerical examples are presented to illustrate the potential and advantages of the developed findings.

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Extended finite-time H∞ control for uncertain switched linear neutral systems with time-varying delays

Abstract

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