User`s guide
Table Of Contents
- Preface
 - Quick Start
 - LTI Models
- Introduction
 - Creating LTI Models
 - LTI Properties
 - Model Conversion
 - Time Delays
 - Simulink Block for LTI Systems
 - References
 
 - Operations on LTI Models
 - Arrays of LTI Models
 - Model Analysis Tools
 - The LTI Viewer
- Introduction
 - Getting Started Using the LTI Viewer: An Example
 - The LTI Viewer Menus
 - The Right-Click Menus
 - The LTI Viewer Tools Menu
 - Simulink LTI Viewer
 
 - Control Design Tools
 - The Root Locus Design GUI
- Introduction
 - A Servomechanism Example
 - Controller Design Using the Root Locus Design GUI
 - Additional Root Locus Design GUI Features
 - References
 
 - Design Case Studies
 - Reliable Computations
 - Reference
- Category Tables
 - acker
 - append
 - augstate
 - balreal
 - bode
 - c2d
 - canon
 - care
 - chgunits
 - connect
 - covar
 - ctrb
 - ctrbf
 - d2c
 - d2d
 - damp
 - dare
 - dcgain
 - delay2z
 - dlqr
 - dlyap
 - drmodel, drss
 - dsort
 - dss
 - dssdata
 - esort
 - estim
 - evalfr
 - feedback
 - filt
 - frd
 - frdata
 - freqresp
 - gensig
 - get
 - gram
 - hasdelay
 - impulse
 - initial
 - inv
 - isct, isdt
 - isempty
 - isproper
 - issiso
 - kalman
 - kalmd
 - lft
 - lqgreg
 - lqr
 - lqrd
 - lqry
 - lsim
 - ltiview
 - lyap
 - margin
 - minreal
 - modred
 - ndims
 - ngrid
 - nichols
 - norm
 - nyquist
 - obsv
 - obsvf
 - ord2
 - pade
 - parallel
 - place
 - pole
 - pzmap
 - reg
 - reshape
 - rlocfind
 - rlocus
 - rltool
 - rmodel, rss
 - series
 - set
 - sgrid
 - sigma
 - size
 - sminreal
 - ss
 - ss2ss
 - ssbal
 - ssdata
 - stack
 - step
 - tf
 - tfdata
 - totaldelay
 - zero
 - zgrid
 - zpk
 - zpkdata
 
 - Index
 

step
11-221
All systems must have the same number of inputs and outputs b ut may
otherwise be a mix of continuous- and discrete-time systems. This syntax is
useful to compare the step responses of multiple s ystems.
You can also specify a distinctive color, linestyle, and/or marker for each
system. For example,
step(sys1,'y:',sys2,'g--')
plots the step response of sys1 with a dotted yellow line and the step response
of
sys2 with a green dashed line.
When i nvoked with output arguments,
[y,t] = step(sys)
[y,t,x] = step(sys) % for state-space models only
y = step(sys,t)
return the output response y, the time vector t used for simulation, and the
state trajectories
x (for state-space models only). No plot is drawn on the
screen. For single-input systems,
y hasasmanyrowsastimesamples(length
of
t), and as many columns as outputs. In the multi-input ca se, the step
responses of each input channel a re stacked up along the third dimension of
y.
The dimensions of
y are then
and
y(:,:,j) gives the response to a unit step command injected in the jth
input channel. Similarly , the dimensions of
x are
Example Plot the step response of the following second-order state-space model.
length of
t()
number of outputs
()
number of inputs
()××
length of
t()
number of states
()
number of inputs
()××










