Finite-time stability analysis and stabilization for uncertain continuous-time system with time-varying delay
Finite-time stability analysis and stabilization for uncertain continuous-time system with time-varying delay
复制标题
时变时滞不确定连续时间系统的有限时间稳定性分析及镇定
DOI：
10.1016/j.jfranklin.2014.12.022
复制
发表时间：
2015
影响因子：
4.1
通讯作者：
Zhang Hui
中科院分区：
文献类型：
--
作者：
Zhang Zhuo;Zhang Zexu;Zhang Hui
研究了一类具有范数有界不确定性和时变时滞的连续时间系统的有限时间稳定性问题。首先将原系统转化为两个相互关联的子系统。为了提取时滞的时变项，采用时变时滞的两项近似。利用时滞相关的Lyapunov-Krasovskii-like泛函和线性矩阵不等式（LMI）方法，得到了系统有限时间稳定的充分条件.所导出的条件可用于分析系统的有限时间稳定性和计算时滞的上界。为了镇定不稳定系统，分别设计了状态反馈和输出反馈控制器。数值算例表明了该方法的有效性。
The problem of finite-time stability for a class of continuous-time system with norm-bounded uncertainties and time-varying delay is studied in this paper. The original system is firstly transformed into two interconnected subsystems. In order to extract the time-varying term of time delay, a two-term approximation of time-varying delay is used. By using the delay-dependent Lyapunov–Krasovskii-like functional and the method of linear matrix inequality (LMI), sufficient conditions for finite-time stability are derived. The derived conditions can analyze the finite-time stability of system and calculate the upper bound of time delay. In order to stabilize unstable system, the state-feedback and output-feedback controller are respectively designed. Results of numerical examples show the effectiveness of the proposed approach.