© The Institution of Engineering and Technology
This study proposes a class of H∞ filter design for linear time-delay system. The time delay considered here is assumed to be satisfying a certain stochastic characteristic. Corresponding to the probability of the delay taking value in different intervals, a stochastic variable satisfying Bernoulli random binary distribution is introduced and a new system model is established by employing the information of the probability distribution. Then new criteria is derived for the filtering-error systems, which can lead to much less conservative analysis results. It should be noted that the solvability of the obtained criteria depend not only on the size of the delay, but also the probability distribution of it. At last, numerical examples are given to demonstrate the effectiveness and the merit of the proposed method.
References
-
-
1)
-
S. Nguang ,
P. Shi
.
Delay-dependent H∞/filtering for uncertain time delay nonlinear systems: an LMI approach.
IET Control Theory Appl.
,
1 ,
133 -
140
-
2)
-
S. Xu ,
J. Lam
.
Improved delay-dependent stability criteria for time-delay systems.
IEEE Trans. Autom. Control
,
3 ,
384 -
387
-
3)
-
C. Peng ,
Y. Tian
.
Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay.
J. Comput. Appl. Math.
,
2 ,
480 -
494
-
4)
-
E. Fridman ,
U. Shaked
.
A descriptor system approach to ℋ∞ control of linear time-delay systems.
IEEE Trans. Autom. Control
,
253 -
270
-
5)
-
X.M. Zhanga ,
M. Wua ,
J.H. She ,
Y. He
.
Delay-dependent stabilization of linear systems with time-varying state and input delays.
Automatica
,
8 ,
1405 -
1412
-
6)
-
Z. Wang ,
F. Yang ,
D.W.C. Ho ,
X. Liu
.
Robust H∞ filtering for stochastic time-delay systems with missing measurements.
IEEE Trans. Signal Process.
,
7 ,
2579 -
2587
-
7)
-
X. Zhang ,
Q. Han
.
A less conservative method for designing H∞ filters for linear time-delay systems.
Int. J. Robust Nonlinear Control
,
12 ,
1376 -
1396
-
8)
-
Wang, S., Nathuji, R., Bettati, R., Zhao, W.: `Providing statistical delay guarantees in wireless networks', Int. Conf. on Distributed Computing Systems, 2004, p. 48–57, vol. 24.
-
9)
-
Z. Wang ,
D.W.C. Ho
.
Filtering on nonlinear time-delay stochastic systems.
Automatica
,
1 ,
101 -
109
-
10)
-
Z. Wang ,
D.W.C. Ho ,
X. Liu
.
Robust filtering under randomly varying sensor delay with variance constraints.
IEEE Trans. Circuits Syst. II
,
6 ,
320 -
326
-
11)
-
S. Xu ,
J. Lam ,
Y. Zou
.
New results on delay-dependent robust H∞ control for systems with tiem-varying delays.
Automatica
,
343 -
348
-
12)
-
D. Yue ,
Q. Han ,
J. Lam ,
F.Y. Wang ,
D. Liu
.
(2008)
Robust , Networked control systems: theory and applications.
-
13)
-
J. Liu ,
W. Yu ,
Z. Gu ,
S. Hu
.
H∞ filtering for Markovian jump systems with time-varying delays.
Int. J. Innov. Comput., Inf. Control
,
3 ,
1299 -
1310
-
14)
-
D. Yue ,
E. Tian ,
Y. Zhang ,
C. Peng
.
Delay-distribution-dependent robust stability of uncertain systems with time-varying delay.
Int. J. Robust Nonlinear Control
,
4 ,
377 -
393
-
15)
-
A. Elsayed ,
M.J. Grimble
.
A new approach to ℋ∞ design of optimal digital linear filters.
IMA J. Math. Control Inf.
,
2 ,
233 -
251
-
16)
-
X. Jiang ,
Q.L. Han
.
Delay-dependent ℋ∞ filter design for linear systems with interval time-varying delay.
IET Control Theory Appl.
,
4 ,
1131 -
1140
-
17)
-
C. de Souza ,
R. Palhares ,
P. Peres
.
Robust filter design for uncertain linear systems with multiple time-varying state delays.
IEEE Trans. Signal Process.
,
3 ,
569 -
576
-
18)
-
C.E. De Souza ,
X. Li
.
Delay-dependent robust H∞ control of uncertain linear state-delayed systems.
Automatica
,
7 ,
1313 -
1321
-
19)
-
L. Xie ,
E. Fridman ,
U. Shaked
.
Robust H∞ control of distributed delay systems with application to combustion control.
IEEE Trans. Autom. Control
,
1930 -
1935
-
20)
-
X. Jiang ,
Q.-L. Han
.
On ℋ∞ control for linear systems with interval time-varying delay.
Automatica
,
2099 -
2106
-
21)
-
H. Gao ,
J. Lam ,
C. Wang
.
Robust energy-to-peak filter design for stochastic time-delay systems.
Syst. Control Lett.
,
101 -
111
-
22)
-
J. Liu ,
W. Yu ,
Z. Gu ,
S. Hu
.
H∞ filtering for time-delay systems with Markovian jumping parameters: delay partitioning approach.
J. Chin. Inst. Eng.
,
3 ,
357 -
365
-
23)
-
H. Gao ,
T. Chen
.
H∞ estimation for uncertain systems with limited communication capacity.
IEEE Trans. Autom. Control
,
2070 -
2084
-
24)
-
C. Peng ,
D. Yue ,
E. Tian ,
Y. Zhang
.
Improved network-based robust H∞ filtering for uncertain linear systems.
Int. J. Innov. Comput., Inf. Control, IJICIC
,
4 ,
961 -
970
-
25)
-
D. Yue ,
E. Tian ,
Y. Zhang ,
C. Peng
.
Delay-distribution-dependent stability and stabilization of T-S fuzzy systems with probabilistic interval delay.
IEEE Trans. Syst., Man, Cybern. Part B, Cybern. (a Publication of the IEEE Systems, Man, and Cybernetics Society)
,
2 ,
503 -
516
-
26)
-
Y.S. Lee ,
Y.S. Moon ,
W.H. Kwon ,
P.G. Park
.
Delay-dependent robust H∞ control for uncertain systems with a state-delay.
Automatica
,
1 ,
65 -
72
-
27)
-
D. Yue ,
Q.L. Han ,
C. Peng
.
State feedback controller design of networked control systems.
IEEE Trans. Circuits Syst. II, Exp. Briefs
,
11 ,
640 -
644
-
28)
-
D. Yue ,
Q.-L. Han ,
J. Lam
.
Network-based robust H∞ control of systems with uncertainty.
Automatica
,
6 ,
999 -
1007
-
29)
-
D. Yue ,
Q. Han
.
Network based robust H∞ filtering for uncertain linear systems.
IEEE Trans. Signal Process.
,
4293 -
4301
-
30)
-
F. Yang ,
Z. Wang ,
Y.S. Hung ,
M. Gani
.
H∞ control for networked systems with random communication delays.
IEEE Trans. Autom. Control
,
3 ,
511 -
518
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-spr.2010.0119
Related content
content/journals/10.1049/iet-spr.2010.0119
pub_keyword,iet_inspecKeyword,pub_concept
6
6