The thermal chamber transfer function (C(s) / E(s)=2.5 /(s+1)) is based on the units of time being

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The thermal chamber transfer function \(C(s) / E(s)=2.5 /(s+1)\) is based on the units of time being minutes.

(a) Modify this transfer function to yield the chamber temperature \(c(t)\) based on seconds.

(b) Verify the result in part (a) by solving for \(c(t)\) with the door closed and the input \(e(t)=4 u(t)\) volts, (i) using the chamber transfer function found in part (a), and (ii) using the transfer function of Fig. P1.6-1. Show that (i) and (ii) yield the same temperature at \(t=1 \mathrm{~min}\).

Fig. P1.6-1

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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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