Specifications
Table Of Contents
- Introduction
- LTI Models
- Operations on LTI Models
- Model Analysis Tools
- Arrays of LTI Models
- Customization
- Setting Toolbox Preferences
- Setting Tool Preferences
- Customizing Response Plot Properties
- Design Case Studies
- Reliable Computations
- GUI Reference
- SISO Design Tool Reference
- Menu Bar
- File
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- Print to Figure
- Close
- Edit
- Undo and Redo
- Root Locus and Bode Diagrams
- SISO Tool Preferences
- View
- Root Locus and Bode Diagrams
- System Data
- Closed Loop Poles
- Design History
- Tools
- Loop Responses
- Continuous/Discrete Conversions
- Draw a Simulink Diagram
- Compensator
- Format
- Edit
- Store
- Retrieve
- Clear
- Window
- Help
- Tool Bar
- Current Compensator
- Feedback Structure
- Root Locus Right-Click Menus
- Bode Diagram Right-Click Menus
- Status Panel
- Menu Bar
- LTI Viewer Reference
- Right-Click Menus for Response Plots
- Function Reference
- Functions by Category
- acker
- allmargin
- append
- augstate
- balreal
- bode
- bodemag
- c2d
- canon
- care
- chgunits
- connect
- covar
- ctrb
- ctrbf
- d2c
- d2d
- damp
- dare
- dcgain
- delay2z
- dlqr
- dlyap
- drss
- dsort
- dss
- dssdata
- esort
- estim
- evalfr
- feedback
- filt
- frd
- frdata
- freqresp
- gensig
- get
- gram
- hasdelay
- impulse
- initial
- interp
- inv
- isct, isdt
- isempty
- isproper
- issiso
- kalman
- kalmd
- lft
- lqgreg
- lqr
- lqrd
- lqry
- lsim
- ltimodels
- ltiprops
- ltiview
- lyap
- margin
- minreal
- modred
- ndims
- ngrid
- nichols
- norm
- nyquist
- obsv
- obsvf
- ord2
- pade
- parallel
- place
- pole
- pzmap
- reg
- reshape
- rlocus
- rss
- series
- set
- sgrid
- sigma
- sisotool
- size
- sminreal
- ss
- ss2ss
- ssbal
- ssdata
- stack
- step
- tf
- tfdata
- totaldelay
- zero
- zgrid
- zpk
- zpkdata
- Index

nyquist
16-156
16nyquist
Purpose Compute Nyquist frequency response of LTI models
Syntax nyquist(sys)
nyquist(sys,w)
nyquist(sys1,sys2,...,sysN)
nyquist(sys1,sys2,...,sysN,w)
nyquist(sys1,'PlotStyle1',...,sysN,'PlotStyleN')
[re,im,w] = nyquist(sys)
[re,im] = nyquist(sys,w)
Description nyquist calculates the Nyquist frequency response of LTI models. When
invoked without left-hand arguments,
nyquist produces a Nyquist plot on the
screen. Nyquist plots are used to analyze system properties including gain
margin, phase margin, and stability.
nyquist(sys) plots the Nyquist response of an arbitrary LTI model sys.This
model can be continuous or discrete, and SISO or MIMO. In the MIMO case,
nyquist produces an array of Nyquist plots, each plot showing the response of
one particular I/O channel. The frequency points are chosen automatically
basedonthesystempolesandzeros.
nyquist(sys,w) explicitly specifies the frequency range or frequency points to
be used for the plot. To focus on a particular frequency interval
[wmin,wmax],
set
w = {wmin,wmax}. To use particular frequency points, set w to the vector of
desired frequencies. Use
logspace to generate logarithmically spaced
frequency vectors. Frequencies should be specified in rad/sec.
nyquist(sys1,sys2,...,sysN) or nyquist(sys1,sys2,...,sysN,w)
superimposes the Nyquist plots of several LTI models on a single figure. All
systemsmusthave the same number of inputs and outputs,but mayotherwise
be a mix of continuous- and discrete-time systems. You can also specify a
distinctive color, linestyle, and/or marker for each system plot with the syntax
nyquist(sys1,'PlotStyle1',...,sysN,'PlotStyleN')
See bode for an example.
When invoked with left-hand arguments