Abstract
Problems related to fault detection of networked control systems (NCSs) with both uncertain timevarying 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.
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Zhang W, Branicky M S, Phillips S M. Stability of networked control systems [J]. IEEE Control Systems Magazine, 2001, 21(1): 84–99.
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.
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.
Fang H J, Ye H, Zhong M Y. Fault diagnosis of networked control systems [J]. Annual Reviews in Control, 2007, 31(1): 55–68.
Ding S X. Model based fault diagnosis techniques: Design schemes, algorithms and tools [M]. New York: SpringerVerlag, 2008.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Elia N, Mitter S K. Stabilization of linear systems with limited information [J]. IEEE Transactions on Automatic Control, 2001, 46(9): 1384–1400.
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.
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Foundation item: the National Basic Research Program (973) of China (No. 2010CB731800) and the National Natural Science Foundation of China (Nos. 60974059, 60736026 and 61021063)
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Li, B., Wan, Ym. & Ye, H. Fault detection of networked control systems with uncertain time-varying delay and quantization error. J. Shanghai Jiaotong Univ. (Sci.) 16, 513–518 (2011). https://doi.org/10.1007/s12204-011-1181-9
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DOI: https://doi.org/10.1007/s12204-011-1181-9