For the system of Fig. 6-13, (G_{p}(s)=20(s+5) /(s(s+4)(s+6))), with (T=0.05) and (D(z)) implementing the following difference equation

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For the system of Fig. 6-13, \(G_{p}(s)=20(s+5) /(s(s+4)(s+6))\), with \(T=0.05\) and \(D(z)\) implementing the following difference equation

\[
m(k)=10 e(k)-16 e(k-1)-6.3 e(k-2)+m(k-1)
\]

(a) Find the system type.

(b) Plot the unit-step response.

(c) Find the rise time, overshoot, and settling time.

Fig. 6-13

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Digital Control System Analysis And Design

ISBN: 9781292061221

4th Global Edition

Authors: Charles Phillips, H. Nagle, Aranya Chakrabortty

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