Robust finite-time H∞ control for a class of uncertain switched neutral systems

Zhengrong Xiang; Ya Nan Sun; Magdi S. Mahmoud

doi:10.1016/j.cnsns.2011.09.022

Robust finite-time H_∞ control for a class of uncertain switched neutral systems

Zhengrong Xiang^*, Ya Nan Sun, Magdi S. Mahmoud

^*Corresponding author for this work

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

147 Scopus citations

Abstract

This paper investigates the robust finite-time H_∞ control problem for a class of uncertain switched neutral systems with unknown time-varying disturbance. The uncertainties under consideration are norm bounded. By using the average dwell time approach, a sufficient condition for finite-time boundedness of switched neutral systems is derived. Then, finite-time H_∞ performance analysis for switched neutral systems is developed, and a robust finite-time H_∞ state feedback controller is proposed to guarantee that the closed-loop system is finite-time bounded with H_∞ disturbance attenuation level γ. All the results are given in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to show the effectiveness of the proposed method.

Original language	English
Pages (from-to)	1766-1778
Number of pages	13
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	17
Issue number	4
DOIs	https://doi.org/10.1016/j.cnsns.2011.09.022
State	Published - Apr 2012

Bibliographical note

Funding Information:
This work was supported by the National Natural Science Foundation of China under Grant No. 60974027 and NUST Research Funding ( 2011YBXM26 ). The work of M.S. Mahmoud was supported by the deanship of scientific research ( DSR ) at KFUPM through Project IN100018 .

Keywords

Finite-time boundedness
Switched neutral systems

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Applied Mathematics

Access to Document

10.1016/j.cnsns.2011.09.022

Cite this

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title = "Robust finite-time H∞ control for a class of uncertain switched neutral systems",

abstract = "This paper investigates the robust finite-time H∞ control problem for a class of uncertain switched neutral systems with unknown time-varying disturbance. The uncertainties under consideration are norm bounded. By using the average dwell time approach, a sufficient condition for finite-time boundedness of switched neutral systems is derived. Then, finite-time H∞ performance analysis for switched neutral systems is developed, and a robust finite-time H∞ state feedback controller is proposed to guarantee that the closed-loop system is finite-time bounded with H∞ disturbance attenuation level γ. All the results are given in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to show the effectiveness of the proposed method.",

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note = "Funding Information: This work was supported by the National Natural Science Foundation of China under Grant No. 60974027 and NUST Research Funding ( 2011YBXM26 ). The work of M.S. Mahmoud was supported by the deanship of scientific research ( DSR ) at KFUPM through Project IN100018 . ",

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AU - Xiang, Zhengrong

AU - Sun, Ya Nan

AU - Mahmoud, Magdi S.

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N2 - This paper investigates the robust finite-time H∞ control problem for a class of uncertain switched neutral systems with unknown time-varying disturbance. The uncertainties under consideration are norm bounded. By using the average dwell time approach, a sufficient condition for finite-time boundedness of switched neutral systems is derived. Then, finite-time H∞ performance analysis for switched neutral systems is developed, and a robust finite-time H∞ state feedback controller is proposed to guarantee that the closed-loop system is finite-time bounded with H∞ disturbance attenuation level γ. All the results are given in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to show the effectiveness of the proposed method.

AB - This paper investigates the robust finite-time H∞ control problem for a class of uncertain switched neutral systems with unknown time-varying disturbance. The uncertainties under consideration are norm bounded. By using the average dwell time approach, a sufficient condition for finite-time boundedness of switched neutral systems is derived. Then, finite-time H∞ performance analysis for switched neutral systems is developed, and a robust finite-time H∞ state feedback controller is proposed to guarantee that the closed-loop system is finite-time bounded with H∞ disturbance attenuation level γ. All the results are given in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to show the effectiveness of the proposed method.

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