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
- Import
- Export
- Toolbox Preferences
- 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

freqresp
16-87
Algorithm For transfer functions or zero-pole-gain models, freqresp evaluates the
numerator(s) and denominator(s) at the specified frequency points. For
continuous-time state-space models , the frequency response is
For efficiency, is reduced to upper Hessenberg form and the linear
equation is solved at each frequency point, taking advantage
oftheHessenbergstructure.The reductiontoHessenbergformprovides a good
compromise between efficiency and reliability. See [1] for more details on this
technique.
Diagnostics If the system has a pole on the axis (or unit circle in the discrete-time case)
and
w happens to contain this frequency point, the gain is infinite, is
singular, and
freqresp produces the following warning message.
Singularity in freq. response due to jw-axis or unit circle pole.
See Also evalfr Response at single complex frequency
bode Bode plot
nyquist Nyquist plot
nichols Nichols plot
sigma Singular value plot
ltiview LTIsystemviewer
interp Interpolate FRD model between frequency points
References [1] Laub, A.J., “Efficient Multivariable Frequency Response Computations,”
IEEE Transactions on Automatic Control, AC-26 (1981), pp. 407-408.
ABCD
,,,()
DCj
ω
A–
()
1–
B ,+
ωω
1
...
ω
N
,,
=
A
j
ω
A–
()
XB=
j
ω
j
ω
IA–