Guaranteed cost finite-time control of positive switched nonlinear systems with D-perturbation

被引：7
|
作者：
Xing, Hao [1 ]
Liu, Leipo [1 ]
Cao, Xiangyang [1 ]
Fu, Zhumu [1 ]
Song, Shuzhong [1 ]
机构：
[1] Henan Univ Sci & Technol, Coll Informat Engn, Luoyang 471023, Peoples R China
来源：
OPEN MATHEMATICS | 2017年 / 15卷
基金：
中国国家自然科学基金;
关键词：
Positive switched nonlinear systems; Average dwell time; D-perturbation; Time-varying delay; Output feedback control; LINEAR-SYSTEMS; VARYING DELAY; ASYMPTOTIC STABILITY; OUTPUT TRACKING; STABILIZATION; L-1-GAIN;
D O I：
10.1515/math-2017-0141
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper considers the guaranteed cost finite-time boundedness of positive switched nonlinear systems with D-perturbation and time-varying delay. Firstly, the definition of guaranteed cost finite-time boundedness is introduced. By using the Lyapunov-Krasovskii functional and average dwell time (ADT) approach, an output feedback controller is designed and sufficient conditions are obtained to ensure the corresponding closed-loop systems to be guaranteed cost finite-time boundedness (GCFTB). Such conditions can be solved by linear programming. Finally, two examples are provided to show the effectiveness of the proposed method.
引用
收藏
页码：1635 / 1648
页数：14
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