Open AccessOn Dwell Time Minimization for Switched Delay Systems: Time-Scheduled Lyapunov Functions
Author(s) -
Ahmet Taha Koru,
Akın Delibaşı,
Hitay Özbay
Publication year - 2016
Publication title -
ifac-papersonline
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.308
H-Index - 72
eISSN - 2405-8971
pISSN - 2405-8963
DOI - 10.1016/j.ifacol.2016.07.469
Subject(s) - dwell time , weighting , time derivative , mathematics , minification , upper and lower bounds , control theory (sociology) , lyapunov function , bisection method , stability (learning theory) , matrix (chemical analysis) , mathematical optimization , computer science , nonlinear system , medicine , quantum mechanics , control (management) , radiology , materials science , composite material , clinical psychology , mathematical analysis , machine learning , physics , artificial intelligence
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.
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