Consider the temperature control system of Problem 6.2-4 and Fig. P6.2-4.

(a) Let \(T=5 \mathrm{~s}\), and solve for the response to the input \(R(s)=0.2 \mathrm{~s}^{-1}\). Plot this response on the same graph with the response found in Problem 6.2-4. Note the effects of increasing \(T\) from \(0.6 \mathrm{~s}\) to \(6 \mathrm{~s}\), when the plant has a time constant of \(2 \mathrm{~s}\).

(b) Find \(c(t)\) for \(0 \leq t \leq 6 \mathrm{~s}\). This response can be calculated without the use of the \(z\)-transform.

Problem 6.2-4

Shown in Fig. P6.2-4 is the block diagram of a temperature control system for a large test chamber. This system is described in Problem 1.6-1. Ignore the disturbance input for this problem.

Fig. P6.2-4

Transcribed Image Text:

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