带有外部扰动的热波耦合系统的H_(∞)鲁棒性

The H_(∞)Robustness of the Heat-wave Coupled System with External Disturbance

为了研究带有外部扰动的热波耦合系统的稳定性,首先对能量函数进行求导,然后构造Lyapunov函数并求其导数,最后在负比例反馈下,使用Matlab中LMI工具包和矩阵的负定性得到系统的H_(∞)鲁棒性,利用类似方法可以得到在动态反馈下系统的H_(∞)鲁棒性。

In order to research the stabilization of the heat-wave coupled system with external disturbance,energy function is derivated.Then,Lyapunov function is built and derivated.Finally,based on negative proportional feedback by using LMI tool kit of Matlab language and negative definiteness of Matrix,the H_(∞)robustness of the heat-wave coupled system with external disturbance is proved.By the analogous method,based on dynamic feedback,the H_(∞)robustness of the system is proved,too.