The problem of sampled-data state reconstruction in linear time invariant systems is considered. A new full order observer structure that can generate intersample state estimation is introduced. The observer synthesis is carried out using the H∞ framework and is shown to have some important advantages over the classical lifting technique that has been used to study similar problems. A simulation example illustrates the application of the proposed design in the fast rate fault detection problem.
References
-
-
1)
-
J. Wüunnenberg ,
P.M. Frank ,
S.G. Tzafestas ,
M.G. Singh ,
G. Schmidt
.
(1987)
Sensor fault using detection via robust observer, System fault diagnosis, reliability and related knowledge-based approaches.
-
2)
-
K. Watanabe ,
D.M. Himmelblau
.
Instrument fault detection in systems with uncertainty.
Int. J. Sys. Sci.
,
137 -
158
-
3)
-
A.H. Jazwinski
.
(1970)
Stochastic processes and filtering theory.
-
4)
-
D. Leunberger
.
An introduction to the observers.
IEEE Trans. Autom. Control
,
6 ,
596 -
602
-
5)
-
H.J. Marquez
.
A frequency domain approach to state estimation.
J. Franklin Inst.
,
147 -
157
-
6)
-
K. Zhou ,
J.C. Doyle
.
(1997)
Essentials of robust control.
-
7)
-
P.M. Frank ,
J. Wüunnenberg ,
R.J. Patton ,
P.M. Frank ,
R.N. Clark
.
(1989)
Robust fault diagnosis using unknown input schemes, System fault diagnosis in dynamical systems: theory and application.
-
8)
-
D.G. Meyer
.
Cost translation and a lifting approach to the multirate LQG problem.
IEEE Trans. Autom. Control
,
1411 -
1415
-
9)
-
J. Chen ,
R.J. Patton
.
(1999)
Robust model-based fault diagnosis for dynamic systems.
-
10)
-
P.M. Frank
.
Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy – a survey and some new results.
Automatica
,
3 ,
459 -
474
-
11)
-
D.-Z. Zheng
.
(2006)
Linear systems theory.
-
12)
-
Rossiter, J.A., Chen, T., Shah, S.L.: `A comparison of lifting and inferential control for multi-rate systems', Proc. Am. Control Conf., 4–6 June 2003, Denver, Colorado.
-
13)
-
T. Chen ,
B. Francis
.
(1995)
Optimal sampled-data control systems.
-
14)
-
D.G. Meyer
.
A parameterization of stabilizing controllers for multirate sampled-data systems.
IEEE Trans. Autom. Control
,
233 -
236
-
15)
-
J.H. Lee ,
M. Morari
.
Robust measurement selection.
Automatica
,
519 -
527
-
16)
-
A. Lynch
.
(2004)
Control sytems II (Lab manual).
-
17)
-
T. Kailath
.
(1980)
Linear systems.
-
18)
-
P.M. Frank ,
S.X. Ding ,
T. Marcu
.
Model-based fault diagnosis in technical processes.
Trans. Inst. Meas. Control
,
1 ,
57 -
101
-
19)
-
C.T. Chen
.
(1998)
Linear systems theory and design.
-
20)
-
R. Weber ,
C. Brosilow
.
The use of secondary measurements to improve control.
AIChE J.
,
614 -
623
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