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clear all,clc
% tests:
B1=[1 -0.8];
A1=[1 1.5 0.9];
Ts=1;
% System is table in z if all poles lie inside a circle of unit 1
p=roots(A1);
if(abs(p)<=1),
disp(['Z domain system is stable']);
else disp(['Z domain system is Not stable'])
end
% For Time domain we will convert form d2c
sys=d2c(tf(B1,A1,Ts));
[numc,denc]=tfdata(sys,'v');
pc=roots(denc);
if real(pc)<0
disp(['Time Domain system is stable']);
else
disp(['Time Domain system is not stable']);
end
% zero-state response vs. zero-input response
BB=[2.24 2.49 2.24];
AA=[1 -0.4 0.75];
n=-2:1:20;
% The filter will be used for the following initial conditions
x=(n>=0);
b1=2.24; b2=2.49; b3=2.24;
a1=1; a2=-0.4; a3=0.75;
zi2=[-2*a1-1*a2,b1*0-a2*2];
y=filter(BB,AA,x,zi2);
stem(n,y); grid on
title('The response with initial condition of 2nd order system')
% area.m
% computes the area and perimeter of a rectangle
% Asks for the length of the rectangle
L = input( ' What is the length of the rectangle ? ' );
% Asks for the width of the rectangle
W = input( ' What is the width of the rectangle ? ' );
% computes the area and perimeter
Area = L * W ;
Perimeter = 2*(L + W);
% displays the area and perimeter
fprintf('The area of the rectangle is: %g \n', Area)
fprintf('The perimeter of the rectangle is: %g \n', Perimeter)
% avg.m
% computes the average value of three numbers
% Asks for the three numbers whose average is to be found
N1 = input( ' What is the first number, N1 ? ' );
N2 = input( ' What is the second number, N2 ? ' );
N3 = input( ' What is the third number, N3 ? ' );
% computes the average value of the three numbers
AverageN = (N1 + N2 + N3)/3 ;
% displays the average value of the three numbers
fprintf('The average of the three numbers is: %g \n', AverageN)
% circle.m
% finds the area of a circle with a known diameter
% Asks for diameter of the circle
d = input( ' What is the diameter of the circle ? ' );
% Find the area of a circle
Area = pi * d^2 /4 ;
% displays the area and perimeter
fprintf('The area of the circle is: %g \n', Area)
% polynom
% solves for the roots of a 2nd order polynomial equation using quadratic
% formula
% asks for the values of a, b and c
a = input('What is the value of a ?');
b = input('What is the value of b ?');
c = input('What is the value of c ?');
% computes the roots s1 and s2
s1 = (-b + sqrt(b^2 - 4*a*c))/(2*a);
s2 = (-b - sqrt(b^2 - 4*a*c))/(2*a);
% displays the roots s1 and s2
fprintf('The roots of the polynomial are: s1 = %g and s2 = %g \n', s1,s2)
% rctime.m
% computes the charging voltage for a resistor and capacitor circuit
% asks for the values of Vcc, tmax, R and C
Vcc = input('What is the value of Vcc ?');
R = input('What is the resistor value, R ?');
C = input('What is the capacitor value, C ?');
tmax = input('What is the maximum time for evaluation, tmax ?');
t = linspace(0,tmax,100);
% computes V
V = Vcc*(1- exp(-t/(R*C)));
% plots V vs t.
plot(t,V, 'r')
xlabel('t')
ylabel('V')
% resistor.m
% computes the Rs and Rp equivalent values of two resistors
% Asks for the two resistor resistance values
R1 = input( ' What is the first resistor value, R1 ? ' );
R2 = input( ' What is the second resistor value, R2 ? ' );
% computes Rs and Rp values
Rs = R1 + R2;
Rp = R1* R2/(R1 + R2);
% displays the Rs and Rp values with comment
fprintf('The Rs value for series connection is: %g \n', Rs)
fprintf('The Rp value for parallel connection is: %g \n', Rp)
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