达林算法在z域和δ域的仿真

Simulation of Dahlin algorithm on z domain and δ domain

用MATLAB软件中的Simulink工具对达林算法在z域的振铃现象和消除振铃现象的算法进行了仿真,并把达林算法进行了δ变换,利用δ变换在小采样周期情况下近似连续域的性质,用MATLAB软件对控制器的输出进行仿真.研究指出,在δ域用达林算法设计控制器,没有振铃现象,而且采样周期域越小,控制效果越好.

The ringing phenomenon of the Dahlin algorithm and the algorithm of eliminating the ring phenomenon in the z domain is simulated with Simulink of MATLAB. It makes δ transformation to Dahlin algorithm, and simulates the output of the controller with MATLAB according to the feature of the δ transformation, it is similar to the continuous situation when the sample period is very small. It turns out that the controller with Dahlin algorithm on δ domain hasn′t rining phenomenon, and the smaller the sample period is, the better the controller is.