Finite-Time Control of Uncertain Fractional-Order Positive Impulsive Switched Systems with Mode-Dependent Average Dwell Time

被引：23
|
作者：
Liu, Leipo [1 ]
Cao, Xiangyang [1 ]
Fu, Zhumu [1 ]
Song, Shuzhong [1 ]
Xing, Hao [1 ]
机构：
[1] Henan Univ Sci & Technol, Sch Informat Engn, Luoyang 471023, Peoples R China
来源：
CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2018年 / 37卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Fractional-order positive impulsive switched systems; Interval uncertainty; Polytopic uncertainty; Finite-time stability; Linear programming; NON-GAUSSIAN NOISE; CONSTRAINED OUTPUT; STABILITY; IDENTIFICATION; DESIGN; DELAY;
D O I：
10.1007/s00034-018-0752-5
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This paper is concerned with the problem of finite-time control of uncertain fractional-order positive impulsive switched systems (UFOPISS) via mode-dependent average dwell time (MDADT). The uncertainties refer to interval and polytopic uncertainties. Firstly, the proof of the positivity of UFOPISS is given. By constructing linear copositive Lyapunov functions, the finite-time stability (FTS) of autonomous system with MDADT is studied. Then, state feedback controllers are designed to guarantee the FTS of the resulting closed-loop system with interval and polytopic uncertainties, respectively. All presented conditions can be easily solved by linear programming. Finally, a fractional-order circuit model is employed to illustrate the effectiveness of the proposed method.
引用
收藏
页码：3739 / 3755
页数：17
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