一种FIR型内模控制器设计的时域逆序列方法

Inverse Time Sequences Approach for the Design of FIR Internal Model Controller

根据内模控制器是被控对象逆动态逼近的原理,由被控对象的脉冲响应来设计FIR型控制器。引入逼近函数序列与残差函数序列来表征控制器对被控对象逆动态的逼近程度,导出了控制器系数矢量应满足的矩阵方程,并以残差函数序列累积平方极小化为准则,给出了求解控制器乐数矢量的矩阵QR分解算法。仿真例子表明了该方法的有效性。

An FIR controller is designed directly to approximate the inverse plant dynamics defined by its im-pulse response in internal model control (IMC) system. Both an approximation function and a residual error function are introduced to derive an super-definite matrix equation for the controller coefficient vector. A QR decomposition - based order -recursive algorithm is also given for the solution. Finally, two simulations are presented to show the effectiveness of the method.