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Published byHugo David Modified about 1 year ago

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By Dr. Hong Zhang

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Octave ◦ http://www.gnu.org/software/octave/ http://www.gnu.org/software/octave/ ◦ Very Similar commands ◦ Can run most M-files ◦ No built-in Simulink package ◦ Pure command line

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Scilab ◦ http://www.scilab.org/ http://www.scilab.org/ ◦ Some commands are different ◦ Built-in Xcos to clone Simulink ◦ Some Graphic interface

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Given a transfer function a 2 s 2 + a 1 s + a 0 b 2 s 2 + b 1 s + b 0 We can define it in Matlab as num = [a 2, a 1, a 0 ]; den = [b 2, b 1, b 0 ]; sys = tf(num, den);

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Unit step response step(sys) Unit impulse response impulse(sys) Arbitrary input response t = t start : t interval : t finish ; u = f(t); % u is a function of t, e.g. ramp is u=t; lsim(sys, u, t)

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Just bring the output to a variable. E.g. y1 = step(sys); y2 = impule(sys); y3 = lsim(sys, u, t); Then we can use the variable. E.g. plot(t,y1, t, y2) plot(t, u, t, y3)

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[r, p, k] = residue(num, den); Where r: root p: pole k: constant If there are complex terms, we can add the two conjugate ones together to get a 2 nd order real term.

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Click the Simulink icon in Matlab window Simulink library browserSimulink modeling window Matlab main window

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Find, drag and drop following blocks to the window ◦ Simulink Continuous Transfer Function ◦ Sources Step ◦ Sinks Scope You will get Building Blocks Output Input Except sources and sinks, every block should have an input and an output.

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Double click the Transfer function block. Change Numerator to [1], denominator to [1 3 2]

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Link the blocks by drag the output to input Double click Scope to show Scope window Click Ctrl+T or Simulation Start or button

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Change the spring constant and damping ratio, then you can have different response. [1 2 12][1 2 1] Hint: Hit the binocular to auto-scale the plot.

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Replace the source with a Sine wave with frequency =3 Hint: Double click the block name to change it.

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Hint: ◦ Hold Ctrl and click to tap an output line ◦ Right click a block and select Format to flip or rotate a block

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Rewrite as Assume m=2kg c=3NSec/m k=3N/m f(t)=1(t)N

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