Question

Question 1: a) Use MATLAB, plot the step repose for the following transfer functions. 48 G(s)- (8+6)(s+8) G(s)- 52 +2s + 18 18 Question 2: a) Using MATLAB, plot Bode log-magnitude and phase plot of (s+2)(8+5) G(S) - (s +3) ($2+2s +20) Question 3: Using MATLAB Sketch the root locus of the unity feedback system shown in the figure below: a) Give the values for all critical points of interest. b) Id the system ever unstable? If so, for what range of K Law S( + 6 +8) Ouestion 4: Design a closed loop PID controller GAS) to stabilize a system that is represented by G(s) in the unity feedback system shown in the figure below: Ys) 10GG( Where G(s)- a) b) Use MATLAB to plot the response of the system USE MATLAB to Optimize the PID parameters to get a faster response.

Answer 1

Hi Dear, As per HOMEWORKLIB RULES,I can answer max. upto One question.

Answer 1

The MATLAB program for Step response of any transfer function is given below:

clc;
clear all;
close all;

%initializations
num=input('enter Nr. Coeff.--->');
den=input('enter Dr. Coeff.--->');

%Transfer function
sys=tf(num,den);
step(sys);