不确定非线性时滞切换广义系统的鲁棒无源控制
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引用本文:陈珊珊,杨冬梅.不确定非线性时滞切换广义系统的鲁棒无源控制[J].计算技术与自动化,2017,(2):1-4
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作者单位
陈珊珊,杨冬梅 (东北大学 理学院辽宁 沈阳 110819) 
中文摘要:将无源的概念从广义系统扩散到切换广义系统之中,进而研究了一类带有非线性扰动项和时滞不确定项的切换广义系统的无源控制问题。并且系统中的不确定性要满足有界条件。首先,基于一类广义Lyapunov函数结合线性矩阵不等式,获得了使非线性切换广义系统能够渐近稳定且严格无源的充分条件。然后,根据已给的条件设计出鲁棒无源控制器,使得闭环广义切换系统对于所有容许的不确定性是严格无源的。最后运用Matlab中的LMI工具箱具体给出实例,证明其可行性。
中文关键词:非线性  切换广义系统  时滞  无源控制
 
Robust Passive Control for Nonlinear Uncertain Switched Singular Systerms with Time delay
Abstract:The passive concept is extended from the generalized system to the swiched singular system and the robust passive control problem for nonlinear switched singular systems with time delay is studied. At the same time,the uncertainty of the system must satisfy the bounded condition.Firstly,based on the generalized Lyapunov function and linear matrix inequality,sufficient conditions are obtained to enable the nonlinear switched singular systems to be asymptotically stable and strictly passive.Furthermore,according to the given conditions,the qualified robust controller is designed.Finally,a numerical example is simulated by utilizing matlab LMI toolbox and the feasibility of the theorem is proved.
keywords:nonlinear  switched singular systems  time delay  passive control
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