Simple conditions for sampled-data stabilization by using artificial delay

被引:4
作者
Selivanov, Anton [1 ]
Fridman, Emilia [1 ]
机构
[1] Tel Aviv Univ, Sch Elect Engn, Tel Aviv, Israel
来源
IFAC PAPERSONLINE | 2017年 / 50卷 / 01期
基金
以色列科学基金会;
关键词
OUTPUT-FEEDBACK; SYSTEMS; STABILITY; FUNCTIONALS;
D O I
10.1016/j.ifacol.2017.08.1328
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
It is well known that in some systems a stabilizing feedback that depends on the output and its derivative can be replaced by delay-dependent feedback where the derivative is approximated by a finite difference. We study sampled-data implementation of such delay dependent feedback. The analysis is based on the Taylor representation of the delayed signal with the remainder in the integral form, which is then compensated by appropriate Lyapunov-Krasovskii functional. This allows to obtain simple LMI-based conditions guaranteeing a desired decay rate of convergence. Using these conditions, we prove that if the system can be stabilized by continuous-time derivative-dependent feedback then it can be stabilized by sampled-data delay-dependent feedback with small enough sampling and delay. Finally, we introduce the event-triggering mechanism that allows to reduce the amount of transmitted signals at the cost of larger memory used. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码:13295 / 13299
页数:5
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