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The following list of commands can be very useful for future reference.
Use "help
In these tutorials, we use commands both from Matlab and from the Control
Systems Toolbox, as well as
some commands/functions which we wrote ourselves. These
commands/functions which are not standard in Matlab
appear below as links to their descriptions. For more
information,
see the function page.
Use your browser's "Back" button to return to the previous page.
8/30 1996 YS
abs Absolute value
acker Compute the K matrix to place the poles of
A-BK, see also place
axis Set the scale of the current plot, see also
plot, figure
bode Draw the Bode plot, see also logspace,
margin, nyquist1
clf Clear figure (use clg in Matlab 3.5)
cloop Closed-loop transfer function
conv Convolution (useful for multiplying
polynomials), see also deconv
ctrb The controllability matrix, see also
obsv
deconv Deconvolution and polynomial
division, see also conv
det Find the determinant of a matrix
eig Compute the eigenvalues of a matrix
eps Matlab's numerical tolerance
figure Create a new figure or redefine the
current figure, see also subplot, axis
for For, next loop
format Number format (significant digits,
exponents)
function Creates function m-files
grid Draw the grid lines on the current plot
gtext Add a piece of text to the current plot,
see also text
help HELP!
hold Hold the current graph, see also
figure
if Conditionally execute statements
imag Returns the imaginary part of a complex number,
see also real
impulse Impulse response of continuous-time
linear systems, see also step, lsim
input Prompt for user input
inv Find the inverse of a matrix
jgrid Generate grid lines
of constant
damping ratio (zeta) and settling time (sigma), see also sgrid, sigma
length Length of a vector, see also size
linspace Returns a linearly spaced vector
lnyquist1 Produce a
Nyquist plot on a logarithmic scale, see also nyquist1
log natural
logarithm, also log10: common logarithm
loglog Plot using log-log scale, also
semilogx/semilogy
logspace Returns a logarithmically spaced vector
lqr Linear quadratic regulator design for continuous
systems
lsim Simulate a linear system, see also
step, impulse
margin Returns the gain margin, phase
margin, and crossover frequencies, see also bode
norm Norm of a vector
nyquist1 Draw the
Nyquist plot, see also lnyquist1. Note this command was written to
replace the Matlab standard command nyquist to get more accurate Nyquist
plots.
obsv The observability matrix, see also
ctrb
ones Returns a vector or matrix of ones, see
also zeros
place Compute the K matrix to place the poles
of A-BK, see also acker
plot Draw a plot, see also figure, axis,
subplot
poly Returns the characteristic polynomial
polyadd Add two
different polynomials
polyval Polynomial evaluation
print Print the current plot (to a printer or
postscript file)
rank Find the number of linearly
independent rows or columns of a matrix
real Returns the real part of a complex number, see
also imag
rlocfind Find the value of k and the poles at
the selected point
rlocus Draw the root locus
roots Find the roots of a polynomial
rscale Find the scale
factor for a full-state feedback system
set Set(gca,'Xtick',xticks,'Ytick',yticks)
to control the number and spacing of tick marks on the axes
sgrid Generate grid lines of constant damping
ratio (zeta)
and natural frequency (Wn),
see also jgrid, sigma
sigma Generate grid lines
of constant settling
time (sigma), see also jgrid, sgrid
size Gives the dimension of a vector or
matrix, see also length
sqrt Square root
ss2tf State-space to transfer function
representation, see also tf2ss
ss2zp State-space to pole-zero representation,
see also zp2ss
step Plot the step response, see also
impulse, lsim
subplot Divide the plot window up into pieces, see
also plot, figure
text Add a piece of text to
the current plot, see also title, xlabel, ylabel, gtext
tf2ss Transfer function to state-space
representation, see also ss2tf
tf2zp Transfer function to Pole-zero
representation, see also zp2tf
title Add a title to the current plot
wbw Returns the
bandwidth frequency given the damping ratio and the rise or settling
time.
xlabel/ylabel Add a label to the
horizontal/vertical axis of
the current plot, see also
title, text, gtext
zeros Returns a vector or matrix of
zeros
zp2ss Pole-zero to state-space
representation, see also ss2zp
zp2tf Pole-zero to transfer function
representation, see also tf2zp