First order system
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Matlab symbolic
math
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order1Step Java
Simulation Using ltiviewer
sys1=tf(1,[1 1])
sys2=tf(1,[2 1])
sys3=tf(1,[3 1])
ltiview
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Using Matlab Symbolic math toolbox


Note: There is a bug in Matlab using y1=subs(y,1,'T')

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Matlab symbolic
math
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Bode Diagram

Asymptotic Curve



Phase


Exact Curve

Break Frequency


The bandwidth is the frequency at which the frequency response has declined 3dB from its low-frequency value. (P.459)
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bandwidth(sys) ---> 0.4988
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order1Bode_01.mdl order1FR_01.m Frequency response
order1freq Java



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Low Pass Filter
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High pass filter


