Introduction to Applied Digital Controls by Gregory Starr

Author:Gregory Starr
Language: eng
Format: epub
ISBN: 9783030428105
Publisher: Springer International Publishing

>>T = 0.01;

>>zeta = 0.54;

>>wn = 60;

>>zgrid(zeta,wn∗T,'new');

>>grid;

>>axis('square');

>>axis('equal');

Block Diagram of Control System

A block diagram of the feedback control system is shown in Fig. 5.15. As before, assume an error-sampled system, with a D/A converter following the digital controller. A unity feedback loop completes the system.

Fig. 5.15Block diagram with unity feedback

Discrete Model of Plant

Preceding the plant G(s) by a sampler and following it with a ZOH yields a discrete plant model G(z). The following MATLAB script (entered interactively) will do this: >> T = 0.01;

>> wn_plant = 100;

>> zeta_plant = 0.1;

>> num_gc = [0 0 wn_plantˆ2];

>> den_gc = [1 2∗zeta_plant∗wn_plant wn_plantˆ2];

>> Gc = tf(num_gc,den_gc); % Continuous plant G(s)

>> Gd = c2d(Gc,T) % Discrete plant G(z)

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