基于LMI的鲁棒控制器设计

LMI-based Robust Controller Design

研究了时域线性系统的鲁棒控制分析与综合 ,提出了将鲁棒控制设计问题转化为线性矩阵不等式(LMI)形式的方法 ,给出了鲁棒控制器的标准LMI结构 ,并通过求解LMI得到鲁棒控制律。文中以双转子涡喷发动机控制器设计为例 ,设计了基于LMI的鲁棒控制器 ,结果表明所给方法是可行的。

The problem of analysis and synthesis of robust control is addressed.The approach transferring the robust control design into linear matrix inequality(LMI) is provided.The LMI standard structure of robust controller is also given and the controller is obtained through solving three LMIs.As an example,a robust control law is designed to the twin spool turbojet engine system using the given method.The result shows that the given method is feasible.