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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. For those commands/functions which are
not standard in Matlab, we give links to their descriptions. For more
information on writing Matlab functions,
see the function page.
10/22/96 YS, 8/18/97 DK
Non-standard Matlab commands are
highlighted in green.
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
c2dm Continuous system to discrete system
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
dimpulse Impulse response of discrete-time linear systems,
see also dstep
dlqr Linear-quadratic requlator design for discrete-time
systems, see also lqr
dlsim Simulation of discrete-time linear systems, see
also lsim
dstep Step response of discrete-time linear systems,
see also stairs
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, dlsim
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, sigrid, zgrid
legend Graph legend
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, see also dlqr
lsim Simulate a
linear system, see also step, impulse, dlsim.
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)
pzmap Pole-zero map of linear systems
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
series Series interconnection of Linear time-independent systems
sgrid Generate grid lines of constant damping
ratio (zeta) and natural frequency (Wn), see also jgrid,
sigrid, zgrid
sigrid Generate grid lines
of constant settling time (sigma), see also jgrid, sgrid, zgrid
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
stairs Stairstep plot for discreste response, see also dstep
step Plot the
step response, see also impulse, lsim, dlsim.
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
zgrid Generates grid lines of constant damping ratio (zeta) and
natural frequency (Wn), see also sgrid, jgrid,
sigrid
zp2ss Pole-zero to state-space representation, see also ss2zp
zp2tf Pole-zero to transfer function
representation, see also tf2zp
