Time-Varying Delay and Quantization Error

doi:10.1007/s12204-011-1181-9

Abstract

Abstract: Abstract: Problems related to fault detection of
networked control systems (NCSs) with both uncertain time-varying
delay and quantization error are studied in this paper. A novel
model with the form of polytopic uncertainty is given to represent
the influences of both the time-varying delay and the quantization
error, and then the reference model based method is used to design
the residual generator that is robust to both unknown
network-induced delay and unknown inputs. A numerical example is
also given to illustrate the merits of the presented method. The
proposed method can be regarded as an extension of the
authors' former work, which can only deal with time-varying delay.

Key words:

fault detection | networked control systems (NCSs)| delay|
quantization error | polytopic uncertainty

摘要： Abstract: Problems related to fault detection of
networked control systems (NCSs) with both uncertain time-varying
delay and quantization error are studied in this paper. A novel
model with the form of polytopic uncertainty is given to represent
the influences of both the time-varying delay and the quantization
error, and then the reference model based method is used to design
the residual generator that is robust to both unknown
network-induced delay and unknown inputs. A numerical example is
also given to illustrate the merits of the presented method. The
proposed method can be regarded as an extension of the
authors' former work, which can only deal with time-varying delay.

关键词:

fault detection | networked control systems (NCSs)| delay|
quantization error | polytopic uncertainty

CLC Number:

TP273

LI Bin (李斌), WAN Yi-ming (万一鸣), YE Hao (叶昊) . Time-Varying Delay and Quantization Error[J]. Journal of shanghai Jiaotong University (Science), 2011, 16(5): 513-518.

References

[1] Zhang W, Branicky M S, Phillips S M. Stability of networked control

systems [J]. IEEE Control Systems Magazine, 2001, 21(1): 84-99.
[2] He X, Wang Z D, Zhou D H. Robust fault detection for networked systems

with communication delay and data missing [J]. Automatica, 2009, 45(11):

2634-2639.
[3] Aubrun C, Sauter D, Yame J. Fault diagnosis of networked control systems

[J]. International Journal of Applied Mathematics and Computer Science, 2008, 18(4): 525-537.
[4] Fang H J, Ye H, Zhong M Y. Fault diagnosis of networked control systems

[J]. Annual Reviews in Control, 2007, 31(1): 55-68.
[5] Ding S X. Model based fault diagnosis techniques: Design schemes,

algorithms and tools [M]. New York: SpringerVerlag, 2008.
[6] Ye H, Ding S X. Fault detection of networked control systems

with network-induced delay [C]// 8th International Conference

on Control, Automation, Robotics and Vision. Kunming, China: IEEE,

2004: 294-297.
[7] Chen Y Q, Xiao B, Xu Z Y. Fault detection filter design for networked

control system with communication delays [C]// 6th

International Conference on Intelligent Systems Design and

Applications. Jinan, China: IEEE, 2006: 867-872.
[8] Li S, Sauter D, Aubrun C. Robust fault isolation filter design for

networked control systems [C]// IEEE Conference on Emerging

Technologies and Factory Automation. Prague, Czech Republic: IEEE,

2006: 1-8.
[9] Xia H W, Ma G C, Wang C H, et al. Fault detection filter design for

networked control systems with networked-induced delay [C]//

2nd IEEE Conference on Industrial Electronics and Applications.

Harbin, China: IEEE, 2007: 1023-1026.
[10] Wang Y Q, Ding S X, Ye H, et al. A new fault detection scheme for

networked control systems subject to uncertain time-varying delay [J]. IEEE Transactions on Signal Processing,

2008, 56(2): 5258-5268.
[11] Cheng Y, Ruan Y B, Cui F J, et al. Fault detection for networked

control systems with random communication delays [C]// Chinese

Control and Decision Conference. Yantai, China: IEEE, 2008:

496-499.
[12] Li W, Zhang P, Ding S X, et al. Fault detection over noisy wireless

channels [C]// Proceedings of the 46th IEEE Conference on

Decision and Control. New Orleans, USA: IEEE, 2008: 3758-3763.
[13] Yang L, Guan X P, Luo X Y, et al. The high performance controller

design for networked control systems with multi-packet transmission

[C]// Proceedings of the 27th Chinese Control Conference.

Kunming, China: IEEE, 2008: 511-515.
[14] Li W, Ding S X. Integrated design of an observer-based fault detection

system over unreliable digital channels [C]// Proceedings of

the 47th IEEE Conference on Decision and Control. Cancun, Mexico:

IEEE, 2009: 2710-2715.
[15] Halevi Y, Ray A. Integrated communication and control systems. Part1.

Analysis [J]. Journal of Dynamic Systems Measurement and Control-Transactions of the Asme, 1988, 110(4): 367-373.
[16] Elia N, Mitter S K. Stabilization of linear systems with limited

information [J]. IEEE Transactions on Automatic Control, 2001, 46(9): 1384-1400.
[17] Ding S X, Jeinsch T, Frank P M, et al. A unified approach to the

optimization of fault detection systems [J]. International

Journal of Adaptive Control and Signal Processing, 2000,

14(7): 725-745.