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

5 Arrays of LTI Models
5-18
•gains is a multidimensional array containing the scalar gains for each I/O
pair of each model in the array.
•The dimensions (and their lengths) of
zeros, poles,andgains, determine
those of the LTI array,
sys.
Specifying Arrays of SS Models Using ss
To specify arrays of SS models, use
sys = ss(a,b,c,d)
where a, b, c,andd are real-valued multidimensional arrays of appropriate
dimensions. All models in the resulting array of SS models have the same
number of states, outputs, and inputs.
Note You cannot use the ss constructor to build an array of state-space
models with different numbers of states. Use stack to build such LTI arrays.
The Size of LTI Array Data for SS Models
The size of the model data for arrays of state-space models is summarized in
the following table.
where
• is the maximum of the number of states in each model in the array.
• is the number of inputs in each model.
• is the number of outputs in each model.
• are the lengths of the array dimensions.
Data Size (Data)
a
b
c
d
N
s
N
s
S
1
S
2
…
S
K
N
s
N
u
S
1
S
2
…
S
K
N
y
N
s
S
1
S
2
…
S
K
N
y
N
u
S
1
S
2
…
S
K
N
s
N
u
N
y
S
1
S
2
… S
K
,,,