On dwell time minimization for switched delay systems: Time-Scheduled Lyapunov Functions
Date
2016Source Title
IFAC-PapersOnLine
Print ISSN
2405-8963
Publisher
Elsevier B.V.
Volume
49
Issue
10
Pages
37 - 40
Language
English
Type
ArticleItem Usage Stats
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Abstract
In the present paper, dwell time stability conditions of the switched delay systems are derived using scheduled Lyapunov-Krasovskii functions. The derivative of the Lyapunov functions are guaranteed to be negative semidefinite using free weighting matrices method. After representing the dwell time in terms of linear matrix inequalities, the upper bound of the dwell time is minimized using a bisection algorithm. Some numerical examples are given to illustrate effectiveness of the proposed method, and its performance is compared with the existing approaches. The yielding values of dwell time via the proposed technique show that the novel approach outperforms the previous ones. © 2016
Keywords
Dwell time optimizationFree weighting matrices
Switched systems
Time delay
Time-scheduled Lyapunov function
Lyapunov functions
Numerical methods
Bisection algorithms
Dwell time
Free-weighting matrices
Lyapunov Krasovskii function
Negative semi-definite
Switched delay systems
Switched system
Upper Bound
Linear matrix inequalities