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Chapter 4
Controller Synthesis
© National Instruments Corporation
4-23
Figure 4-8.  LQG Feedback System for Loop Transfer Recovery
lqgltr( )
[SysC,EV,Kr] = lqgltr(Sys,Wx,Wy,K,rho,{keywords})
The 
lqgltr( )
 function designs an estimator or regulator which recovers 
loop transfer robustness through the design parameter 
ρ (
rho
). For a 
discussion of the syntax and a full listing of keywords, refer to the Xmath 
Help
The keyword 
recover
 specifies whether the recovery should be achieved 
through regulator or estimator design.
If the keyword is set to 
recover="regulator"
, the loop-transfer is 
recovered by designing a regulator with the following model:
and the objective function:
with:
x
 = Ax + Bu
y
 = Cx
x
y
G(s)
K(s)
Plant
Estimator
x
x
 = Ax + Bu
 + 
K
E
ε
ε = y – Cx
K
R
u
x·
Ax w
+
=
y
Cx v
+
=
J
1
2
---
x'Qx u'Ru
+
(
t
d
0
=
Q
R
xx
ρC'C
+
=
R
R
uu
=