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H ∞ Control for Mixed-Mode Based Switched Nonlinear Systems with Time-Varying Delay
Joint Authors
Ye, Canbo
Liu, Xingbo
Liu, Zhen
Miao, Shu
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-11
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper investigated H∞ performance of the switched nonlinear systems with time-varying delay, which contains mixed modes, important characteristics of switched delay systems.
Most of the references ignored the existence of mixed modes in such systems, which is a fatal mistake.
This paper will correct the mistake of the existing references.
The mixed modes give the H∞ control for switched nonlinear delay systems a challenge.
With this difficulty, we take measures to handle the effects of mixed modes on such systems and achieve the H∞ performance of such systems.
Firstly, the H∞ control analysis is divided into two cases, and the sufficient conditions for the exponential decay of the Lyapunov-Krasovskii functionals are given with the integral interval approach.
Secondly, the combination of average dwell-time approach and subsystem activation rate is utilized to achieve the H∞ performance for the mixed-mode based switched systems with time-varying delay.
Finally, simulation examples show the efficiency of the switching control strategy.
American Psychological Association (APA)
Liu, Zhen& Miao, Shu& Ye, Canbo& Liu, Xingbo. 2019. H ∞ Control for Mixed-Mode Based Switched Nonlinear Systems with Time-Varying Delay. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1194916
Modern Language Association (MLA)
Liu, Zhen…[et al.]. H ∞ Control for Mixed-Mode Based Switched Nonlinear Systems with Time-Varying Delay. Mathematical Problems in Engineering No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1194916
American Medical Association (AMA)
Liu, Zhen& Miao, Shu& Ye, Canbo& Liu, Xingbo. H ∞ Control for Mixed-Mode Based Switched Nonlinear Systems with Time-Varying Delay. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1194916
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194916