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讨论了滞后广义系统的反馈镇定控制器的设计问题 ,首先对滞后广义系统进行稳定性分析 ,给出了由H∞ 范数表示的稳定性判据 ,从而将滞后广义控制系统的镇定问题转化为一个H∞ 控制问题 ;然后利用H∞ 控制方法给出系统可镇定的条件 ,并将这条件改写为线性矩阵不等式的形式 ,因而利用现有的LMI工具软件即可获得所需要的反馈控制律
In this paper, the design of the feedback stabilization controller for a lag singular system is discussed. Firstly, the stability of the lag singular system is analyzed and the stability criterion is given by the H∞ norm, so that the stabilization problem of the lag singular control system is transformed into Then a H∞ control problem is solved. Then, by using H∞ control method, the condition of system stabilization is given and the condition is rewritten as the form of linear matrix inequality. Therefore, the existing LMI tool can be used to obtain the desired feedback control law