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A robust Kalman filtering method is suggested by adopting a perturbation estimation process which is to reconstruct total uncertainty with respect to the nominal state equation of a physical system. The predictor and corrector of the discrete Kalman filter are reformulated with the perturbation estimator. In succession, the state and perturbation estimation error dynamics and the covariance propagation equations are derived. In the sequel, the recursive algorithm of combined discrete Kalman filter and perturbation estimator is obtained. The proposed robust Kalman filter has the property of integrating innovations and the adaptation capability to the time-varying uncertainties. An example of application to a mobile robot is shown to validate the performance of the proposed scheme.
References
-
-
1)
-
M. Fu ,
C.E. de Souza ,
Z. Luo
.
Finite-horizon robust Kalman filter design.
IEEE Trans. Signal Process.
,
9 ,
2103 -
2112
-
2)
-
F.L. Lewis
.
(1992)
Applied optimal control and estimation.
-
3)
-
I.R. Petersen ,
D.C. McFarlane
.
Optimal guaranteed cost control and filtering for uncertain linear systems.
IEEE Trans. Autom. Control
,
1971 -
1977
-
4)
-
R. Siegwart ,
I.R. Nourbakhsh
.
(2004)
Autonomous mobile robot.
-
5)
-
U. Shaked ,
L. Xie ,
Y.C. Soh
.
New approaches to robust minimum variance filter design.
IEEE Trans. Signal Process.
,
11 ,
2629
-
6)
-
F. Yang ,
Z. Wang ,
Y.S. Hung
.
Robust kalman filtering for discrete time-varying uncertain systems with multiplicative noises.
IEEE Trans. Autom. Control
,
7 ,
1179 -
1183
-
7)
-
H. Zhang ,
M. Basin ,
M. Skliar
.
Optimal state estimation for continuous stochastic state-space system with hybrid measurements.
Int. J. Innov. Comput. Inf. Control
,
2 ,
357 -
370
-
8)
-
K. Ohnishi ,
M. Shibata ,
T. Murakami
.
Motion control for advanced mechatronics.
IEEE/ASME Trans. Mechatronics
,
1 ,
56 -
67
-
9)
-
S.J. Kwon ,
W.K. Chung
.
A Discrete-Time Design and Analysis of Perturbation Observer for Motion Control Applications.
IEEE Trans. Control Syst. Technol.
,
3 ,
399 -
407
-
10)
-
S.J. Kwon ,
W.K. Chung
.
A robust tracking controller design with hierarchical perturbation compensation.
ASME J. Dyn. Syst., Meas. Control
,
2 ,
261 -
271
-
11)
-
H. Ruan ,
E. Yaz ,
T. Zhai
.
Current output filter for state estimation of nonlinear stochastic systems with linear measurement.
Int. J. Innov. Comput. Inf. Control
,
2 ,
277 -
287
-
12)
-
U. Shaked ,
C.E. deSouza
.
Robust minimum variance filtering.
IEEE Trans. Signal Process.
,
2474 -
2483
-
13)
-
M.S. Grewal ,
A.P. Andrews
.
(1993)
Kalman filtering: theory and practice.
-
14)
-
M.S. Mahmoud ,
P. Shi
.
Robust Kalman filtering for continuous time-lag systems with jump parameters.
IEEE Trans. Circuits Syst.-I
,
98 -
105
-
15)
-
F. Wang ,
V. Balakrishnan
.
Robust Kalman filters for linear time-varying systems with stochastic parametric uncertainties.
IEEE Trans. Signal Process.
,
803 -
813
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