Answer ALL Questions The system shown below has been tested with three different reference inputs 6u(t), 6tu(t), and 6t2u(t). By using steady-state error calculation, identify which could give zero (0) steady state error. The function u(t) is the unit step. R(s) + E(s) 100(s+2)(s+6) s(s+3)(s+4) C(s) Example #1 Find the steady-state errors for inputs of 5u(t), 5tu(t), and 5t²u(t) to the system shown below. The function u(t) is the unit step. R(s) + E(s) 120(s+2) (s+3)(s+4) C(s) For step input 5u(t), we must calculate the position error coefficient (Kp): 6 Chapter Eight: Steady-State Error Benha University Faculty of Engineering at Shubra Dr. Ahmed Mustafa Hussein Electrical Engineering Department Dr. Ahmed Mustafa Hussein 120 x 2 3 x 4 = 20 Кр = lim G(S) = 0-S 5 5 = Ess= 1 +20 21 For ramp input 5tu(t), we must calculate the velocity error coefficient (Kv): 0 x 120 x 2 3 x 4 Kv = lim S G(S) = S→0 5 Ess= =∞ 0 = 0 For parabolic input 5t² u(t), we must calculate the acceleration error coefficient (Ka): Kalim S2 G(S) = S-0 Ess = 2 × 5 0 0 x 120 x 2 3 × 4 =00 = 0

Answer ALL Questions The system shown below has been tested with three different reference inputs 6u(t), 6tu(t), and 6t2u(t). By using steady-state error calculation, identify which could give zero (0) steady state error. The function u(t) is the unit step. R(s) + E(s) 100(s+2)(s+6) s(s+3)(s+4) C(s) Example #1 Find the steady-state errors for inputs of 5u(t), 5tu(t), and 5t²u(t) to the system shown below. The function u(t) is the unit step. R(s) + E(s) 120(s+2) (s+3)(s+4) C(s) For step input 5u(t), we must calculate the position error coefficient (Kp): 6 Chapter Eight: Steady-State Error Benha University Faculty of Engineering at Shubra Dr. Ahmed Mustafa Hussein Electrical Engineering Department Dr. Ahmed Mustafa Hussein 120 x 2 3 x 4 = 20 Кр = lim G(S) = 0-S 5 5 = Ess= 1 +20 21 For ramp input 5tu(t), we must calculate the velocity error coefficient (Kv): 0 x 120 x 2 3 x 4 Kv = lim S G(S) = S→0 5 Ess= =∞ 0 = 0 For parabolic input 5t² u(t), we must calculate the acceleration error coefficient (Ka): Kalim S2 G(S) = S-0 Ess = 2 × 5 0 0 x 120 x 2 3 × 4 =00 = 0

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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