Consider the feedback control system shown in Figure 10.35, in which the plant is the DC motor-driven
Question:
Consider the feedback control system shown in Figure 10.35, in which the plant is the DC motor-driven cart given in Example 10.2. The input to the plant is the voltage applied to the DC motor, and the output is the position of the cart. Design a proportional-derivative (PD) controller such that the maximum overshoot in the response to a unit-step reference input is less than \(10 \%\), and the rise time is less than \(0.15 \mathrm{~s}\).
Data From Example 10.2:
The transfer functions of the plant (combining the cart and the DC motor), the controller, and the sensor are \[G(s)=\frac{3.778}{s^{2}+16.883 s}, \quad C(s)=85, \quad H(s)=1\]
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Related Book For
Modeling And Analysis Of Dynamic Systems
ISBN: 9781138726420
3rd Edition
Authors: Ramin S. Esfandiari, Bei Lu
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