摘要
研究一类线性切换系统的慢切换镇定设计问题.基于时间驱动和状态反馈驱动相结合的思想,在系统存在稳定凸组合的基础上介绍了非保守的切换设计.对切换线性系统设计了两种新的切换规则,分别使系统渐近稳定和指数稳定在设计的切换规则下,类李雅普诺夫函数在状态反馈期允许增加固定的比例.切换设计不仅能降低切换频率还能给出状态驱动持续时间的一个下界.最后,数例仿真验证了切换设计的有效性.
In this paper,the slow-switching stabilization problem is addressed for a class of switched linear systems.Based on the idea of combining time-driven switching with statedriven switching,the less-conservative switching designs are introduced according to the existence of a stable convex combination.In this paper,the switched linear systems has designed two new switching laws,make the system asymptotic stability and exponential stability respec tively.The key point of the new laws is that the Lyapunov-like function is allowed to increase in the state-feedback periods with a fixed ratio.We proved that both switching laws can not only reduce the switching frequency,but also gives a lower bound of the duration for the state-driven periods.At the end,a simulation example is given to show the validity.
作者
赵娜
熊建栋
伍俊
ZHAO Na;XIONG Jian-dong;WU Jun(School of Mathematics and Computer Science,Xinyang Vocational and Technical College,Xinyang 464000,China;College of Mathematics and Information Science,Henan Normal University,Xinxiang 453000,China;College of Automation,Foshan University of Science and Technology,Foshan 528000,China)
出处
《数学的实践与认识》
北大核心
2019年第24期195-201,共7页
Mathematics in Practice and Theory
关键词
线性切换系统
慢切换镇定
类李雅普诺夫函数
稳定
switched linear systems
slow-switching stabilization
Lyapunov-like function
stability
