脉冲切换系统有限时间稳定性分析与控制  

Finite-time stability analysis and control of pulse switching system

作　　者：柳静 牛玉俊[1] 王国欣[1] LIU Jing;NIU Yujun;WANG Guoxin(School of Mathematics and Science, Nanyang Institute of Technology, Nanyang 473004, China)

机构地区：[1]南阳理工学院数理学院,河南南阳473004

出　　处：《兵器装备工程学报》2022年第1期233-237,共5页Journal of Ordnance Equipment Engineering

基　　金：河南省教育厅高等学校重点科研项目(19A110027)。

摘　　要：提出了一种脉冲切换系统有限时间稳定性分析与控制的方法。通过微分方程组求解出脉冲切换系统的解,确定切换规则;利用平均逗留时间方法获取脉冲切换系统有限时间有界的充分条件,检验系统是否符合稳定性条件;以充分条件为基础设计有限时间保性能控制器,计算脉冲切换系统的有限时间保性能控制界,通过代数矩阵不等式验证全部充分必要条件的有效性,实现脉冲切换系统的稳定性控制。实验结果表明:该控制器能够在0.2 s内收敛脉冲切换系统,令系统达到稳定状态。In order to improve the finite time stability of pulse switched system in practical application,the finite time stability analysis and control of pulse switched system were proposed.The solution of impulsive switched system was solved by differential equations,and the switching rules were obtained.A sufficient condition for the finite time boundedness of impulsive switched systems was obtained by using the mean time of stay method,and the stability condition was verified.Based on the sufficient conditions,the finite time guaranteed cost controller was designed and the finite time guaranteed cost control bound of the impulsive switched system was calculated.All the necessary and sufficient conditions were verified by linear matrix inequalities(LMIs)to realize the stability control of impulsive switched systems.The experimental results show that the controller can converge the impulsive switching system in 0.2 s and make the system reach a stable state.

关 键 词：脉冲切换系统 有限时间稳定 微分方程组 平均逗留时间 常微分方程 

分 类 号：TJ9[兵器科学与技术—武器系统与运用工程] TP27[自动化与计算机技术—检测技术与自动化装置]