Crossover frequencies for specified gain
wc = getGainCrossover(sys,gain)
wc = getGainCrossover(
wc of frequencies at which the frequency
response of the dynamic system model,
principal gain of
gain. For SISO systems, the
principal gain is the frequency response. For MIMO models, the principal
gain is the largest singular value of
Find the 0dB crossover frequencies of a single-loop control system with plant given by:
and PI controller given by:
G = zpk(,[-1,-1,-1],1); C = pid(1.14,0.454); sys = G*C; wc = getGainCrossover(sys,1)
wc = 0.5214
The 0 dB crossover frequencies are the frequencies at which the open-loop response
sys = G*C has unity gain. Because this system only crosses unity gain once,
getGainCrossover returns a single value.
Find the 20 dB stopband of
sys is a notch filter centered at 10 rad/s.
sys = tf([1 0.05 100],[1 5 100]); gain = db2mag(-20); wc = getGainCrossover(sys,gain)
wc = 9.7531 10.2531
db2mag command converts the gain value of -20 dB to absolute units. The
getGainCrossover command returns the two frequencies that define the stopband.
sys— Input dynamic system
Input dynamic system, specified as any SISO or MIMO dynamic system model.
gain— Input gain
Input gain in absolute units, specified as a positive real scalar.
sys is a SISO model, the gain
is the frequency response magnitude of
sys is a MIMO model, gain
means the largest singular value of
getGainCrossover computes gain crossover
frequencies using structure-preserving eigensolvers from the SLICOT
library. For more information about the SLICOT library, see http://slicot.org.