Sliding mode observer-based fault detection of distributed networked control systems with time delay. (English) Zbl 1242.93023

Zong, Qun; Zeng, Fanlin; Liu, Wenjing; Ji, Yuehui; Tao, Yang

Circuits Syst. Signal Process. 31, No. 1, 203-222 (2012).

Summary: This paper considers the fault detection problem of Distributed Networked Control Systems (DNCSs) with time delay. A sliding mode observer-based fault detection method for a two-level DNCS is presented and two different situations are considered. When all the states of the system are available for measurement, we convert the fault detection problem to a sliding motion stable and reachable problem. When some states of system are not available for measurement, we design a transformation matrix to separate the measurable states and the unknown states, and then different sliding mode observers for those unknown states are developed to achieve fault detection. Finally, a numerical example is provided to illustrate the effectiveness of the proposed method with simulation results.

MSC:

93B07	Observability
93B12	Variable structure systems
94C12	Fault detection; testing in circuits and networks

Keywords:

fault detection; distributed networked control systems; sliding mode observer; residual evaluation

References:

[1]	B. Castillo-Toledo, J. Anzurez-Marin, Model-based fault diagnosis using sliding mode observers to Takagi–Sugeno fuzzy model, in Proceedings of the IEEE International Symposium on Intelligent Control, Cyprus (2005), pp. 652–657
[2]	S.X. Ding, P. Zhang, Observer-based monitoring of distributed networked control systems, in IFAC Safeprocess, Beijing, China (2006), pp. 2354–2359
[3]	S.X. Ding, P. Zhang, An observer based fault tolerant scheme for distributed networked control systems, in European Control Conference, Kos, Greece (2007), pp. 3687–3694
[4]	C. Edwards, S.K. Spurgeon, R.J. Patton, Sliding mode observers for fault detection and isolation. Automatica 36(4), 541–553 (2000) · Zbl 0968.93502
[5]	H.J. Fang, H. Zhang, Y.W. Fang, Quasi T–S fuzzy models and stable controllers for networked control systems, in Proceedings of the 6th World Congress on Intelligent Control and Automation, Dalian, China (2006), pp. 220–231
[6]	T. Floquet, C. Edwards, S.K. Spurgeon, On sliding mode observers for systems with unknown inputs. Int. J. Adapt. Control Signal Process. 21(8), 638–656 (2007) · Zbl 1128.93008
[7]	H. Gao, T. Chen, New results on stability of discrete-time systems with time-varying state delay. IEEE Trans. Autom. Control 52(2), 328–334 (2007) · Zbl 1366.39011
[8]	Z. Gu, D.B. Wang, D. Yue, Fault detection for continuous-time networked control systems with non-ideal QoS. Int. J. Innov. Comput. Inf. Control 6(8), 3631–3640 (2010)
[9]	Y. He, G.P. Liu, D. Rees, HN filtering of discrete-time systems with time-varying delay, in Signal Process (2009), pp. 89275–89282
[10]	Z.H. Huo, Y. Zheng, C. Xu, A robust fault-tolerant control strategy for networked control systems. J. Netw. Comput. Appl. 34, 708–714 (2011) · Zbl 05891724
[11]	B. Jiang, M. Staroswiecki, V. Cocquempot, Fault estimation in nonlinear uncertain systems using robust sliding-mode observers. IEE Proc. Part D. Control Theory Appl. 151(1), 29–37 (2004)
[12]	C. Kambhampati, R.J. Patton, F.J. Uppal, Reconfiguration in networked control systems: Fault tolerant control and plug-and-play, in IFAC Safeprocess, Beijing, China (2006), pp. 151–156
[13]	C.L. Ma, H.J. Fang, Research on mean square exponential stability of networked control systems with multi-step delay. Appl. Math. Model. 30(9), 941–950 (2006) · Zbl 1142.93419
[14]	L.A. Montestruque, P.J. Antsaklis, On the model-based control of networked systems. Automatica 39(10), 1837–1843 (2003) · Zbl 1027.93023
[15]	R.J. Patton, C. Kamhampati, S.X. Ding, A generic strategy for fault-tolerance in control systems distributed over a network. Eur. J. Control 13(2), 249–280 (2007) · Zbl 1293.93255
[16]	C.P. Tan, C. Edwards, Sliding mode observers for detection and reconstruction of sensor faults. Automatica 38(10), 1815–1821 (2002) · Zbl 1011.93505
[17]	C.P. Tan, C. Edwards, Sliding mode observers for robust detection and reconstruction of actuator and sensor faults. Int. J. Robust Nonlinear Control 13(5), 443–463 (2003) · Zbl 1036.93025
[18]	L.G. Wu, C.H. Wang, Q.S. Zeng, Observer-based sliding mode control for a class of uncertain nonlinear neutral delay systems. J. Franklin Inst. 345(3), 233–253 (2008) · Zbl 1167.93326
[19]	X.G. Yan, C. Edwards, Nonlinear robust fault reconstruction and estimation using a sliding mode observer. Automatica 43(9), 1605–1614 (2007) · Zbl 1128.93389
[20]	C.X. Yang, Z.H. Guan, J. Huang, Stochastic fault tolerant control of networked control systems. J. Franklin Inst. 346(10), 1006–1020 (2009) · Zbl 1185.93146
[21]	P. Zhang, E.L. Ding, Advanced design scheme for fault tolerant distributed networked control systems, in Proceedings of the 17th World Congress, Korea (2008), pp. 13569–13574
[22]	W. Zhang, S.M. Branicky, S.M. Philips, Stability of networked control systems. IEEE Control Syst. Mag. 21(1), 84–99 (2001)
[23]	D. Zhang, L. Yu, W.A. Zhang, Delay-dependent fault detection for switched linear systems with time-varying delays–The averaged well time approach. Signal Process. 91, 832–840 (2011) · Zbl 1217.94081
[24]	Y. Zheng, H.J. Fang, Y.W. Wang, Robust fault tolerant control of networked control system with time-varying delays. J. Huazhong Univ. Sci. Tech. (Nat. Sci. Ed.) 32(2), 35–37 (2004)
[25]	D.H. Zhou, Y.D. Ji, Network-based fault detection for discrete-time state-delay systems: A new measurement model. Int. J. Adapt. Control Signal Process. 22, 510–528 (2008) · Zbl 1284.93147