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Signal and system learning zero input response
2022-07-27 00:21:00 【For a long time, the duck will become a goose】
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The course is from Xidian grandpa Guo
LTI A function of the zero state response of a system lsim The invocation format is
y = lsim(sys,f,t)
t Represents the sampling point vector for calculating the system response ;
f Is the system input signal
sys yes LTI System model , Used to express differential equations
System model sys With the help of tf Function to obtain , Invocation format : sys = tf(b,a)
b Is the coefficient at the right end of the differential equation ; From higher order derivation To Low order derivative , commas
a Is the coefficient at the left end of the differential equation
% Practice y"(t)+2y'(t)+77y(t) = f(t) t>=0 when Access incentives f(t) = 10sin(2Πt) Find its zero state response
a = [0 0 1];
b = [1 2 77];
sys = tf(a,b);% Notice here that the coefficient on the right side of the equal sign is in front
t = 0:0.01:5;
f = 10.*sin(2*pi*t);
y1 = lsim(sys,f,t);
subplot(2, 1, 1);
plot(t,y1)
t = 0:0.01:5;
f = 10.*sin(2*pi*t);
y2 = lsim(sys,f,t);
sys = tf(b,a);
subplot(2, 1 ,2);
plot(t,y2)
xlabel('Time(sec)')
ylabel('y(t)')
I'm here to try how the coefficients on both sides of the equal sign of the differential equation can be written inversely
It was used subplot I want to compare , The discovery is the same ···
Study it later
Go to bed now ZZZ
········
Thinking from the next day
It should be the same ?
After all, both sides of the equal sign , It is equivalent to the problem of indifferent coefficient ??
( Welcome to turn the sign and leave a message )
( By the way, roast again ,matlab Save the picture directly to the desktop , I can't upload it anymore ··· I gave the screenshot and it was easy to upload ····)
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