The Bode diagram approach is the most commonly used method for the analysis and synthesis of
Nichol's chart is a plot of
The initial slope of Bode plot for a transfer function having no poles at origin is
With nopole at origin, initial slope will be OdB/decade.
For npole at origin, initial slope will be 20 ndB/decade.
The gain margin of a control system having the loop transfer function G(s)H(s) =
Gain crossover frequency is the frequency at which the gain of G(jω) is
For a control system having gain margin of 10 dB, the magnitude of GH(s) for 180° phase shift is
If the Nyquist plot of the loop transfer function G(s)H(s) of a closedloop system does not encloses the (1, j0) point in the G(s)H(s) plane, the gain margin of the system will be
Since the critical point (1 + j0 ) is not enclosed, therefore m agnitude of OLTF, will be less than unity.
Therefore, G.M. = 20 log will be positive and the system will be stable.
A system with phase margin close to zero or gain margin close to unity is
If the transfer function of a firstorder system in then the time constant of this system will be
Hence, time constant = T= 5 seconds
The polar plot of
Given system is of type1 and order2, therefore its polar plot will be as shown below.
Hence, the polar plot will neither cross the real axis nor the imaginary axis.
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