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# gainplot

magnitude plot

### Syntax

gainplot(sl, fmin, fmax)
gainplot(sl, fmin, fmax, step)
gainplot(frq, db, phi)
gainplot(frq, repf)
gainplot(.., comments)

### Arguments

sl

A siso or simo linear dynamical system, in state space, transfer function or zpk representations, in continuous or discrete time.

fmin,fmax

real scalars (frequency interval).

step

real (discretization step (logarithmic scale))

string

frq

matrix (row by row frequencies)

db,phi

matrices (magnitudes and phases corresponding to frq)

repf

complex matrix. One row for each frequency response.

### Description

Same as bode but plots only the magnitude.

### Examples

s=poly(0,'s')
h1=syslin('c',(s^2+2*0.9*10*s+100)/(s^2+2*0.3*10.1*s+102.01))
h2=syslin('c',(s^2+2*0.1*15.1*s+228.01)/(s^2+2*0.9*15*s+225))
clf();gainplot([h1;h2],0.01,100,..
["$\frac{s^2+18 s+100}{s^2+6.06 s+102.1}$";
"$\frac{s^2+3.02 s+228.01}{s^2+27 s+225}$"])
title('Gainplot')

• bode — Bode plot
• black — Black-Nichols diagram of a linear dynamical system
• nyquist — nyquist plot
• repfreq — frequency response
• g_margin — gain margin and associated crossover frequency
• datatips — Tool for placing and editing tips along the plotted curves

### History

 Version Description 6.0 handling zpk representation