Tutorial 3.pdf - ET0048/ET0163 Systems and Control Tutorial...

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ET0048/ET0163: Systems and Control Tutorial 3 Transient Response 1 Tutorial 3: Transient Response 2014/2015 Semester 2 Section 1: Concepts A1 Consider a control system as shown in Fig. T3 A1. (a) , ) ( , ) ( , ) ( sc s D sc s G k s G 1 1 2 1 determine the time constant where no disturbance U(s) is present, i.e., U(s)=0. (b) , ) ( , ) ( , ) ( 1 5 1 1 5 2 10 2 1 s s D s s G s G determine offset/steady state error when both unit-step reference R(s) and disturbance U(s) act simultaneously. Fig. T3 A1 A2 Consider a first-order system as shown in Fig. T3 A2. (a) Determine the closed-loop transfer function and time constant. (b) How does the system gain k affect the steady-state response c ss and steady-state error e ss when the unit-step input is applied? Fig. T3 A2 A3 A closed-loop control system is shown in Fig. T3 A3. (a) Determine the closed-loop transfer function ) ( ) ( s R s C (b) Calculate the damping ratio for k = 2 and 15 respectively.
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