hw5sol

# hw5sol - ME 475 Out: Feb. 11, 2011 Due: Feb. 17, 2011...

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ME 475 HOMEWORK #5 SOLUTION Spring 2011 Out: Feb. 11, 2011 Due: Feb. 17, 2011 PROBLEM 1 : Given : Fig. 1(a): Open-loop temperature-control system. Fig. 1(b): Closed-loop temperature-control system. Find : For each system: (a) θ (t) if r(t) is a unit step and the disturbance is zero; time constant τ (b) steady-state error in temperature due to a unit step input (c) percentage change in output temperature if there is a 5% change in K (d) θ (t) if d(t) is a step input of size 0.1 (e) advantage of the closed-loop system Solution : (a) Open loop : Heating system Reference temperature R(s) + Normalized Temperature θ (s) + D(s) Reference temperature R(s) Temperature sensor + Normalized Temperature θ (s) D(s) Heating system Amplifier

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time constant (to reach 63.2% of final value) Closed loop : (b) Open-loop : Closed loop :
θ (t). (c)

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## hw5sol - ME 475 Out: Feb. 11, 2011 Due: Feb. 17, 2011...

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