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(Sample)Feedback system using a Transfer Function Analysis and Design Tool - Result -

Calculated the determined transfer function from feedback system, displayed on graphs, showing Bode diagram, Nyquist diagram, Impulse response and Step response.


(Sample)Transfer Function from the feedback system:
C
R
= 10000s2+1000000000s+1E+12
s3+11000s2+1100000000s+1E+12


Pole(s)
    p = -802.395917394 +5194.74032478i[Hz]
          |p|= 5256.34533208[Hz]
    p = -145.912539222[Hz]
          |p|= 145.912539222[Hz]
    p = -802.395917394-5194.74032478i[Hz]
          |p|= 5256.34533208[Hz]

Zero(s)
    z = -160.779142258[Hz]
          |z|= 160.779142258[Hz]
    z = -15754.7151669[Hz]
          |z|= 15754.7151669[Hz]


Phase margin
    pm= 49.7[deg] (f =7257.2[Hz])


Oscillation frequency:
    f = 5194.74032478[Hz]


Overshoot (in absolute value)
    The 1st peak  gpk = 1.5 (t =8.7E-05[sec])
    The 2nd peak  gpk = 0.56 (t =0.00018[sec])
    The 3rd peak  gpk = 1.15 (t =0.00028[sec])


Final value of the step response (on the condition that the system converged when t goes to infinity)
    g(∞) = 1

Select the following System:

Gβ=
Gα=

Hβ=
Hα=

Frequency analysis Bode diagram
Nyquist diagram(f=0→∞)
Pole, zero
Phase margin
Oscillation analysis
Transient analysis Step response
Impulse response | L-1{G(s)}
Overshoot
Final value of the step response

Frequency analysis






Transient analysis




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