摘要
以连续切换系统为研究对象,主要利用Lyapunov函数方法分析含脉冲作用下连续切换系统的有限时间稳定性。首先,给出一定形式的Lyapunov函数,在各个切换时间段内,分别沿着切换系统的轨迹对时间t求导;然后,鉴于系统在切换时刻产生脉冲,给出脉冲作用下各时刻的V函数表达形式,递推得出t时刻及初始时刻V函数的关系;最后,应用平均驻留时间及Lyapunov稳定性理论,得出了在含脉冲作用下的连续切换系统仍保持有限时间稳定的充分条件。另外,给出数值仿真算例,并运用MATLAB线性矩阵不等式和Simulink工具箱进行仿真,所得结果显示文中结论有效。
In this paper,the finite time stability of continuous switched systems with impulsive effects is mainly analyzed.Firstly,a certain form of Lyapunov function is given to derive the time t along the trajectory of the switched system in each switching period.Then,considering that the system generates pulse at the switching time,the expression of Vfunction at each time under the action of pulse is given,and the relation between t time and Vfunction at the initial time is derived recursively.Finally,By using the average dwell-time and the Lyapunov stability theory,the sufficient conditions for the continuous switching system under the action of pulse are obtained.The numerical simulation example is given and the MATLAB linear matrix inequality(LMI)and the Simulink toolbox are used to simulate.The results show that the conclusion is effective.
作者
景丽
关胜楠
JING Li;GUAN Shengnan(College of Mathematics and Systems Science, Shenyang Normal University, Shenyang 110034, China)
出处
《沈阳师范大学学报（自然科学版）》
CAS
2018年第6期516-520,共5页
Journal of Shenyang Normal University:Natural Science Edition
基金
辽宁省科技厅科学技术计划项目(20170540823)
关键词
切换系统
平均驻留时间
脉冲作用
有限时间稳定
switched systems
average dwell-time
impulse action
finite time stability
