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Consider a DC motor with a dynamic model G_{1}(s)=\frac{0.8 s+1.6}{s^{2}+4 s+7.2} \text {, and is used to drive a cable } \text { reel with a dynamic model, } G_{2}(s)=\frac{25}{s+1} \text {. You are } required to design a PID controller using theZielger Nichols Reaction Curve method. Theclosed loop system is shonw in the figure.

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