First order system


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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order1.m

Using Matlab Symbolic math toolbox

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

order1symbolic.m

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Matlab symbolic math

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order1a.m



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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


order1b.m



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Low Pass Filter

order1Filter.mdl

order1filter  Java

High pass filter

order1c.m

Integrator