Consider a thermal heating system given by g(') _ 1 q(s) C,s + (QS + l/R.Y where the

Chapter 0, Problem AP2.4

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Consider a thermal heating system given by g(') _ 1 q(s) C,s + (QS + l/R.Y where the output 3"(.?) is the temperature difference due to the thermal process, the input q(s) is the rate of A'(.v) Gc(s) I GdU) L -o - H(s) G(0 *- n-o FIGURE AP2.3 Feedback system with a disturbance input. heat flow of the heating element. The system parameters are C ?, S, and Rr The thermal heating system is illustrated in Table 2.5. (a) Determine the response of the system to a unit step q(s) = 1/s. (b) As t*oo. what value does the step response determined in part (a) approach? This is known as the steady-state response, (c) Describe how you would select the system parameters C Q, 5, and R, to increase the speed of response of the system to a step input.