National Instruments 370757C-01, NI MATRIX Xmath Robust Control Module manual fsesti( )

Chapter 4 ControllerSynthesis
MATRIXx Xmath Robust Control Module 4-16 ni.com
fsesti( )
[SysF, vEV] = fsesti(SysA, ns, QWWA, QVVA, {QWVA})
The fsesti( ) function computes a frequency-shaped state estimator.
The estimation problem is stated as follows:
The frequency-shaped filter design problem is to minimize,
which can be written as:
or it can be written as:
For more information on the fsesti( ) syntax, refer to the Xmath Help.
x
·Ax Bu w++=
yCxDuv++=
J1
2
---w*Qwwjω()wv
*Qvv jω()v+()
∞–
∞
∫
=dω
x
·AAexA
=Beuw
A
++
J1
2
---wA
*QwwAwA
∞–
∞
∫
=vA
*QvvAvA2wA *QwvAv)dω++
xA
x
·
x
·′
A11 A12
A21 A22
x
x′
B
0uw
A
++=
⎧ ⎪ ⎨ ⎪ ⎩
⎧ ⎨ ⎩
uC1C2
⎝⎠
⎛⎞
x
·
x
·′Deuv
A
++=
⎧ ⎪ ⎨ ⎪ ��
AeBe
Ce