Guaranteed Cost Finite-Time Control for Positive Switched Linear Systems with Time-Varying Delays

This paper considers the guaranteed cost finite-time control for positive switched linear systems with time-varying delays. The definition of guaranteed cost finite-time boundedness is firstly given. Then, by using the mode-dependent average dwell time approach, a static output feedback law and a st...

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Bibliographic Details
Main Authors: Xiangyang Cao, Leipo Liu, Zhumu Fu, Xiaona Song, Shuzhong Song
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2017/7051658
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Summary:This paper considers the guaranteed cost finite-time control for positive switched linear systems with time-varying delays. The definition of guaranteed cost finite-time boundedness is firstly given. Then, by using the mode-dependent average dwell time approach, a static output feedback law and a state feedback control law are constructed, respectively, and sufficient conditions are obtained to guarantee that the closed-loop system is guaranteed cost finite-time boundedness. Such conditions can be easily solved by linear programming. Finally, an example is given to illustrate the effectiveness of the proposed method.
ISSN:1687-5249
1687-5257