线性多区间时滞系统控制器设计方法  

Delay dependent controller for linear system with multiple interval delays

作　　者：许兰兰[1] 余云燕[1] 

机构地区：[1]兰州交通大学土木工程学院,甘肃兰州730070

出　　处：《地震工程与工程振动》2016年第1期176-185,共10页Earthquake Engineering and Engineering Dynamics

基　　金：国家自然科学基金资助(51268031);甘肃省基础研究创新群体资助(145RJIA332);甘肃省自然科学基金资助(1107RJZA084);兰州交通大学青年基金项目(2012013)~~

摘　　要：本文针对线性多区间时滞系统,考虑时滞下限非零的情况,研究时滞依赖控制器设计新方法。为了在稳定性条件中引入时滞相关参数,并降低所得控制器保守性,文中分析并设计了包含多个多重积分项的Lypunov-Krasovskii泛函,并提出了一种新颖的非线性项解耦方法,综合应用积分不等式、凸组合、自由权矩阵等技术,给出了基于线性矩阵不等式组(LMIs)的时滞依赖渐近稳定控制器设计新方法。最后,通过实例计算说明了本文方法的有效性。Recent studies of networked control for time delay linear system barely focus on non-zero low-bounded multiple interval time-varying delay system. However, such systems really exist in the reality, and it is necessary to do further research. Motivated by the afore reason, this paper further investigates the effective control of the multi time-varying delays system. An appropriate Lyapunov-Krasovskii functional including multi-triple-integral terms are established. To feasibly decoupling the obtained non-linear stability condition to an equivalent linear case, an effi- cient unique decouphng matrix method is proposed. Meanwhile, with the help of double-integral inequalities, con- vex combinations, free weight matrices, a controller design method is presented in terms of linear matrix inequali- ties （LMIs）. Numerical validations illustrate the effectiveness of the proposed method finally.

关 键 词：多区间时滞 积分不等式 时滞依赖 线性矩阵不等式组 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]