Consider the system of Fig. P6.2-4, with \(D(z)=1\). Use the results of Problems 6.2-4 and 6.2-5 if available.

(a) Find the system time constant \(\tau\) for \(T=0.8 \mathrm{~s}\).

(b) With the input a step function, find the time required for the system output \(c(k T)\) to reach 98 percent of its final value. Note that this time is approximately four time constants \((4 \tau)\).

(c) Repeat parts (a) and (b) for \(T=8 \mathrm{~s}\).

(d) Repeat parts (a) and (b) for the analog system, that is, for the system with the sampler and data hold removed.

Fig. P6.2-4

Transcribed Image Text:

R(s) Controller Disturbance Chamber 2.5 Rs) s+0.5 M(s) 2 C(s) D(z) Volts s+0.5 T S Volts Sensor 0.04