© The Institution of Engineering and Technology
This study is concerned with the quantised H∞ filtering problem for discrete-time systems subject to limited communication capacity, which includes measurement quantisation and random sensor packet losses. By introducing an improved quantised random packet-loss model, the effects of the packet-loss rate and the upper bound of consecutive packet losses and the quantisation on the system performance are considered simultaneously. A quantised H∞ filter design strategy with the minimised static quantiser range is designed to guarantee the error system exponentially mean-square stable and also achieve the prescribed H∞ disturbance attenuation level. A numerical example is given to illustrate the effectiveness of the proposed filter design method.
References
-
-
1)
-
S.L. Sun ,
L.H. Xie ,
W.D. Xiao ,
Y.C. Soh
.
Optimal linear estimation for systems with multiple packet dropouts.
Automatica
,
1333 -
1342
-
2)
-
Z.D. Wang ,
F.W. 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
-
3)
-
D. Liberzon
.
Hybrid feedback stabilization of systems with quantized signals.
Automatica
,
1543 -
1554
-
4)
-
Hoshina, H., Tsumura, K., Ishii, H.: `The coarsest logarithmic quantizers for stabilization of linear systems with packet losses', Proc. 46th IEEE Conf. on Decision and Control, 2007, New Orleans, LA, USA, p. 2235–2240.
-
5)
-
H. Zhang ,
L. Xie
.
(2007)
Control and estimation of systems with input/output delays.
-
6)
-
G.N. Nair ,
R.J. Evans
.
Exponential stabilizability of finite-dimensional linear systems with limited data rates.
Automatica
,
585 -
593
-
7)
-
S.S. Zhou ,
G. Feng
.
H∞ filtering for discrete-time systems with randomly varying sensor delays.
Automatica
,
1918 -
1922
-
8)
-
Zhai, G., Mi, Y., Imae, J., Kobayashi, T.: `Design of ', Proc. 16th IFAC World Congress, 2005, Prague, Czech Republic, Paper No: Fr-M17-To/1.
-
9)
-
Coutinho, D., Fu, M.Y., de Souza, C.E.: `Output feedback control of linear systems with input and output quantization', Proc. 47th IEEE Conf. on Decision and Control, 2008, Cancun, Mexico, p. 4706–4711.
-
10)
-
R.E. Kalman
.
A new approach to linear filtering and prediction problems.
Trans. ASME J. Basic Eng. Ser. D
,
1 ,
35 -
45
-
11)
-
W.W. Che ,
G.H. Yang
.
Quantized H ∞ filter design for discrete-time systems.
Int. J. Control
,
2 ,
pp. 195 -
206
-
12)
-
A. Ray
.
Output feedback control under randomly varying distributed delays.
J. Guid., Control, Dyn.
,
4 ,
701 -
711
-
13)
-
F.W. Yang ,
Z.D. Wang ,
Y.S. Huang ,
M. Gani
.
H∞ control for networked systems with random communication delays.
IEEE Trans. Autom. Control
,
3 ,
511 -
518
-
14)
-
M.G. Rivera ,
A. Barreiro
.
Analysis of networked control systems with drops and variable delays.
Automatica
,
2054 -
2059
-
15)
-
T. Kailath ,
A.H. Sayed ,
B. Hassibi
.
(2000)
Linear estimation.
-
16)
-
S. Tatikonda ,
S. Mitter
.
Control under communication constraints.
IEEE Trans. Autom. Control
,
7 ,
1056 -
1068
-
17)
-
H.J. Gao ,
T.W. Chen
.
H∞ estimation for uncertain systems with limited communication capacity.
IEEE Trans. Autom. Control
,
11 ,
2070 -
2084
-
18)
-
Yaz, E., Ray, A.: `Linear unbiased state estimation for random models with sensor delay', Proc. Conf. Decision and Control, 1996, Kobe, Japan, p. 47–52.
-
19)
-
E. Tian ,
D. Yue ,
X. Zhao
.
Quantised control design for networked control systems.
IET Control Theory Appl.
,
6 ,
1693 -
1699
-
20)
-
N. Elia
.
Stabilization of linear systems with limited information.
IEEE Trans. Autom. Control
,
9 ,
1384 -
1400
-
21)
-
M. Fu ,
L. Xie
.
The sector bound approach to quantized feedback control.
IEEE Trans. Autom. Control
,
11 ,
1698 -
1711
-
22)
-
J.L. Xiong ,
J. Lam
.
Stabilization of linear systems over networks with bounded packet loss.
Automatica
,
1 ,
80 -
87
-
23)
-
D.F. Delchamps
.
Stabilizing a linear system with quantized state feedback.
IEEE Trans. Autom. Control
,
8 ,
916 -
924
-
24)
-
M.Y. Huang ,
S. Dey
.
Stability of Kalman filtering with markovian packet losses.
Automatica
,
4 ,
598 -
607
-
25)
-
Yu, M., Wang, L., Xie, G., Chu, T.: `Stabilization of networked control systems with data packet dropout via switched system approach', IEEE Int. Symp. Computer Aided Contr. Syst. Design, 2004, p. 362–367.
-
26)
-
Chen, Y., Xiao, B., Xu, Z.: `Fault detection filter design for networked control system with communication delays', Proc. Sixth Int. Conf. Intelligent Syst. Design Appl., 2006, p. 867–872.
-
27)
-
Y.L. Wang ,
G.H. Yang
.
Multiple communication channels-based packet dropout compensation for networked control systems.
IET Control Theory Appl.
,
8 ,
717 -
727
-
28)
-
R.W. Brokcett
.
Quantized feedback stabilization of linear systems.
IEEE Trans. Autom. Control
,
7 ,
1279 -
1289
-
29)
-
Vu, L., Liberzon, D.: `Stabilizing uncertain systems with dynamic quantization', Proc. 47th IEEE Conf. on Decision and Control, 2008, Cancun, Mexico, p. 4681–4686.
-
30)
-
M. Sahebsara ,
T. Chen ,
S.L. Shah
.
Optimal H2 filtering with random sensor delay, multiple packet dropout and uncertain observations.
Int. J. Control
,
2 ,
292 -
301
-
31)
-
M. Basin ,
J. Rodriguez-Gonzalez ,
R. Martinez-Zuñiga
.
Optimal filtering for linear state delay systems.
IEEE Trans. Autom. Control
,
5 ,
684 -
690
-
32)
-
Z.D. Wang ,
D.W.C. Ho ,
X. Liu
.
Robust filtering under randomly varying sensor delays with variance constraints.
IEEE Trans. Circuits Syst. II
,
6 ,
320 -
326
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2009.0120
Related content
content/journals/10.1049/iet-cta.2009.0120
pub_keyword,iet_inspecKeyword,pub_concept
6
6