**Problem 2.**The closed-loop transfer function of the position control system in Figure 3 is given by:\[T(s) = \frac{25K_1}{s^2 + (1 + 25K_2)s + 25K_1}\]Find values of \( K_1 \) and \( K_2 \) so that the unit step response of the closed-loop system has 5% overshoot and a rise time of about 0.1 second.---**Figure 3 Explanation:**Figure 3 depicts a block diagram of an angular position control system which includes a tachometer in the inner loop.- **Input Signal (R(s))**: The reference signal entering the system.- **Summing Junctions**: There are two summing junctions in the system, both using a minus sign to subtract feedback from the input signal, resulting in the error signal \( E(s) \).- **Amplifier (Amp)**: Multiplies the error signal \( E(s) \) by \( K_1 \).- **Motor Dynamics**: The processed signal is sent to the motor, represented by the transfer function \(\frac{25}{s(s+1)}\).- **Feedback Loop (Tachometer)**: The output \( C(s) \) is fed back and multiplied by \( K_2 \) for correction.The system seeks to stabilize the response with specific parameters for performance, namely 5% overshoot and a rise time of approximately 0.1 second.

Answered: Image /qna-images/answer/082fbef9-eaa3-4713-9e85-36e16ad22594.jpg

oblem 2. The closed-loop transfer function of the position control system in Figure 3 is T(s)- T(s)+(1+25K,)s+25K, 25K, d values of K, and K, so that the unit step response of the closed-loop system has 5% overshoot and a rise e of about 0.1 second. Motor Amp R(s) E(s) 25 C(s) K1 s(s + 1) K2s Tachometer +

oblem 2. The closed-loop transfer function of the position control system in Figure 3 is T(s)- T(s)+(1+25K,)s+25K, 25K, d values of K, and K, so that the unit step response of the closed-loop system has 5% overshoot and a rise e of about 0.1 second. Motor Amp R(s) E(s) 25 C(s) K1 s(s + 1) K2s Tachometer +

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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