response of state space to arbitrary input
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Shlok Vaibhav Singh
on 24 Dec 2021
Commented: Star Strider
on 26 Dec 2021
Using the ss function (https://in.mathworks.com/help/control/ref/ss.html?searchHighlight=ss%20&s_tid=srchtitle_ss%20_1), we can create state space models and we can use step(sys, t) to simulate the step response of the model for a time grid t, however what if i want to give a non-trivial input different from step, like a traingular wave??
Piecewise constants can be modelled by adding signed delayed step responses but how to proceed with any general input that can be even specified in form of an array to accompany time grid?
Thanks
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Star Strider
on 24 Dec 2021
‘what if i want to give a non-trivial input different from step, like a traingular wave??’
Using a system from the lsim documentation and an arbitrary waveform —
A = [-3 -1.5; 5 0];
B = [1; 0];
C = [0.5 1.5];
D = 0;
sys = ss(A,B,C,D);
t = linspace(0, 10, 1500); % Time Vector
u = sum(sin((1:9)'*2*pi*t/2.5)); % Arbitrary Input
lsim(sys,u,t)
grid on
Experiment with different systems and ‘u’ vectors.
.
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