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

Kalman Filtering
9-53
Becauseyouareinterestedinthe outputestimate ,keeponlythefirstoutput
of
kalmf.Type
kalmf = kalmf(1,:);
kalmf
a =
x1_e x2_e x3_e
x1_e 0.76830 –0.49400 0.11290
x2_e 0.62020 0 0
x3_e –0.08173 1.00000 0
b =
u y
x1_e –0.38320 0.35860
x2_e 0.59190 0.37980
x3_e 0.51910 0.08173
c =
x1_e x2_e x3_e
y_e 0.62020 0 0
d =
u y
y_e 0 0.37980
Sampling time: unspecified
Discrete-time system.
To see how the filter works, generate some input data and random noise and
compare the filtered response with the true response . You can either
generateeachresponseseparately,orgeneratebothtogether.Tosimulate each
response separately, use
lsim with the plant alone first, and then with the
plant and filter hooked up together. Thejointsimulation alternative is detailed
next.
y
e
y
e
y