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Introduction to Nyquist plot simple Malayalam explanation

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Problem 1

Q1) The open loop transfer function of a feedback system is given 𝐺(𝑠)=(𝑠+2)/((𝑠+1)(𝑠−1)) . Sketch the Nyquist plot and determine the stability  

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Problem 2 - 

Draw the Nyquist plot for the system whose open loop transfer function is  𝐺(𝑠)𝐻(𝑠)=𝐾/(𝑠(𝑠+2)(𝑠+10)) . Determine the range of K for which closed loop system is stable

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Introduction to bode plot, Steps for plotting bode plot

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Bode Plot - Problem -1 

Q1) Plot the Bode diagram for the following transfer function and obtain the gain and phase cross over frequency 𝐺(𝑠)=10/(𝑠(1+0.4𝑠)(1+0.1𝑠))

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Bode Plot - Problem -1 

Q2) Plot the Bode diagram for the following transfer function 𝐺(𝑠)=(10(𝑠+100))/(𝑠(𝑠+5)(𝑠+2))

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Introduction to compensators in control system, comparison between lag & lead compensators, design steps for lag and lead compensators using Bode plot

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Lag Compensator Problem

Q1) A unity feedback system has an open loop transfer function  𝐺(𝑠)=𝐾/(𝑠(1+2𝑠)) . Design a suitable lag compensator so that phase margin is 400 and the steady state error for ramp input is less than or equal to 0.2

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Q1) Design a phase lead compensator for the system shown in figure to satisfy the following specifications (i) Phase margin of the system ≥ 450 (ii) Steady state error for a unit ramp input ≤ 1/15 (iii) The gain cross over frequency of the system must be less than 7.5 rad/sec