【摘要】 为了比较不同数据包组合下网络控制系统(NCS)鲁棒性的差异,提出一种基于切换系统、H∞性能、线性矩阵不等式(LMI)的分析方法.首先根据系统的特性与调度过程建立与之相对应的模型,在此基础上结合增广向量将系统等价为切换系统.通过分析系统实现H∞性能时所需的条件,利用切换系统的分段二次Lyapunov函数对系统的稳定性及鲁棒性进行论证,在论证过程中结合LMI的有关定理,并以LMI形式给出最后结果.结果表明:利用本方法可以有效的求出H∞性能指标,并且很容易比较出状态变量在不同的包组合下系统性能的差异.更多还原

【Abstract】 To compare the different performances of network control system(NCS) under different combination of data packet,an analysis method was proposed based on switching system,H∞ performance and linear matrix inequality(LMI).The corresponding model was established according to the character of system and the process of scheduling,and then to be transformed to switching system utilizing augmented vector.Through analyzing the condition of realizing the H∞ performance,the stability and robustness of the system was demonstrated using piecewise quadratic Lyapunov of switching system and relative theories of LMI,and the final result was proposed in the form of LMI.The results show that the method is effective to solve the index of H∞ performance,and easy to compare the different performance of system under different combination of data packet of state variable.更多还原