4. Consider the system below. Draw a Bode diagram of the open-loop transfer function, anddetermine the value of the gain K such that the phase margin is 50. What is the gain marginof this system with this gain K?10s + 0.5sts + 1)

Write the open-loop transfer function,

Answered: 4. Consider the system below. Draw a…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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A certain op amp has an open-loop dc gain of A0OL=200,000 and an open-loop 3-dB bandwidth of fBOL=5 Hz. Sketch the Bode plot of the open-loop gain magnitude to scale. If this op amp is used in a noninverting amplifier having a closed-loop dc gain of 100, sketch the Bode plot of the closed-loop gain magnitude to scale. Repeat for a closed-loop dc gain of 10.
Subject: Mechanical Measurements Do not copy other online solutions.
Control system
1. Construct Bode plot for the system whose open-loop transfer function is given below and determine (a) The gain margin, (b) The phase margin. (c) Stability of the closed loop system. G(s) H(s) = 10/s(1+ 0.5s) (1+ 0.1s)
Figure 2 shows the simplified model of a system with a unity feedback open-loop transfer K function of G(s). s(s+5)(s+20) R(s) + G(s) C(s) Figure 2: The simplified model Use MATLAB sisotool to perform the following tasks by showing all related considerations and figures a) b) c) Plot the Bode plot if the system operates with K₁ = 10. Determine the gain margin (GM), phase margin (PM), gain cross over frequency (@gc.) and phase cross over frequency (p). Design a lead compensator to reduce the percent overshoot (%OS) to 10%, while keeping the same steady-state error.
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4. Consider the system below. Draw a Bode diagram of the open-loop transfer function, and determine the value of the gain K such that the phase margin is 50. What is the gain margin of this system with this gain K? 10 s + 0.5 sts + 1)