Consider the system shown in Figure 1, where G(s) = a) If the unit step response of the closed-loop system is given in Figure 2, determine the values of ẞ and K. b) Calculate settling time for the closed-loop system achieved in part (a). 33+5+1 R(s) c) Given K 15, find the value of ẞ to make the closed- loop system critically damped, with settling time of 1. Determine the transfer function of the obtained closed-loop system. d) Given K = 4, calculate the steady state error of the closed-loop system for inputs 5u(t) and 5tu(t) separately, where u(t) is the unit step signal. 0.6061 0.556 y(t) Note: Y(S)- K G(s) Figure 1. ([s] Figure 2 = Π w1-32 Ts=%OS= 100.c-/√1-(<= -In(%OS/100) 2+1n2(%0S/100)
Consider the system shown in Figure 1, where G(s) = a) If the unit step response of the closed-loop system is given in Figure 2, determine the values of ẞ and K. b) Calculate settling time for the closed-loop system achieved in part (a). 33+5+1 R(s) c) Given K 15, find the value of ẞ to make the closed- loop system critically damped, with settling time of 1. Determine the transfer function of the obtained closed-loop system. d) Given K = 4, calculate the steady state error of the closed-loop system for inputs 5u(t) and 5tu(t) separately, where u(t) is the unit step signal. 0.6061 0.556 y(t) Note: Y(S)- K G(s) Figure 1. ([s] Figure 2 = Π w1-32 Ts=%OS= 100.c-/√1-(<= -In(%OS/100) 2+1n2(%0S/100)
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.61P
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