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

Transcribed Image Text:

R(s) + D(z) G(s) T C(s)