【作者】 赵峥嵘； 王伟；

【Author】 Zhao Zhengrong1,2,Wang Wei1 1.Department of Automation,Dalian University of Technology,Dalian 116023,P.R.China2.Informational College,Dalian Institute of Light Industry,Dalian 116034,P.R.China

【机构】 大连理工大学自动化系； 大连轻工业学院信息学院；

【摘要】 利用任意权矩阵方法,通过解线性矩阵不等式,对于具有两个非线性项时变时滞的Lurie型控制系统,给出新的判断系统稳定的方法,得到系统绝对稳定的新的时滞及其时滞导数相关准则;同时阐明扇形角约束与时滞及其时滞导数之间的相互关系,证明过程没有利用任何积分不等式,减少了引起保守的原因,并通过例子说明与现有文献的结果相比,结果具有较好的保守性。更多还原

【Abstract】 Based on optimal weighting matrices,delay and its derivative dependent stability criteria are derived for time-varying delay Lurie type control systems with two nonlinearities.The relationship between the sector and delay or the sector and delay’s derivative is discussed.Conditions are given in term of linear matrix inequality.Since the process of proof did not apply arbitrary integral inequality,the proposed criteria are less conservative than other existing criteria,An example is given that illustrates advantage of our approach.更多还原