3. Figure 3 shows a closed-loop control system Reference Output, input, r(t) + y(1) 2 Kp s+ 1 Proportional gain Plant s+6 Sensor Figure 3. A closed control system a. Compute the controller gain Kpso that the undamped natural frequency of the closed- loop system is wn = 4 rad/s. b. Compute the controller gain K, so that the damping ratio of the closed-loop system is 3 = 0.6. c. Compute the steady-state output for a step reference input r(t) = 4U(t) and controller gain Kp= 3.

3. Figure 3 shows a closed-loop control system Reference Output, input, r(t) + y(1) 2 Kp s+ 1 Proportional gain Plant s+6 Sensor Figure 3. A closed control system a. Compute the controller gain Kpso that the undamped natural frequency of the closed- loop system is wn = 4 rad/s. b. Compute the controller gain K, so that the damping ratio of the closed-loop system is 3 = 0.6. c. Compute the steady-state output for a step reference input r(t) = 4U(t) and controller gain Kp= 3.

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

Chapter12: Power System Controls

Section: Chapter Questions

Problem 12.1P

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