一般脉冲型Lurie控制系统的绝对稳定性  

Absolute stability of general impulsive Lurie control systems

作　　者：徐炳吉[1] 沈轶[1] 廖晓昕[1] 刘新芝[1] 

机构地区：[1]华中科技大学控制科学与工程系,湖北武汉430074

出　　处：《华中科技大学学报（自然科学版）》2005年第9期36-38,46,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60274007;60474011);湖北省自然科学基金资助项目(2004ABA055);中国博士后科学基金资助项目(2003033462);华中科技大学博士后基金资助项目.

摘　　要：利用李亚普诺夫函数和线性矩阵不等式方法,研究一般脉冲型Lurie控制系统的绝对稳定性,给出了系统绝对稳定的若干充分条件,这些条件有的要求系统矩阵A为赫尔维茨矩阵,但有的条件并不要求A为赫尔维茨矩阵,反映了脉冲的存在能使系统的特性发生改变,同时也说明了脉冲型Lurie控制系统的动态特性比Lurie控制系统的动态特性要复杂得多.系统绝对稳定的条件中对脉冲的限制较宽松,为便于应用,推论中给出了简单实用的条件.The absolute stability of Lurie control systems with multiple nonlinearities and impulsive effects was discussed. Several criteria on absolute stability are established by using the method of Lyapunov functions and linear matrix inequality approach. The system matrix is required to be a Hurwitz matrix in some criteria and is not required to be a Hurwitz matrix in the other criteria, implying that the existence of impulse causes the changes of characteristic of the systems, and compared with Lurie control systems the dynamics of impulsive Lurie control systems are more complex than that of Lurie control systems. The limits to the impulse on condition that guarantee the absolute stability of the systems are loosely, simple and the applied conditions are given in corollaries for practical application.

关 键 词：李亚普诺夫函数 脉冲动力系统 绝对稳定性 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]