## Observer based fault-tolerant control for a class of nonlinear networked control systems.(English)Zbl 1201.93061

Summary: We present a Fault-Tolerant Control (FTC) framework for a class of nonlinear Networked Control Systems (NCSs). Firstly, the plant is transformed into two subsystems with one of them decoupled from the system fault. Then, the nonlinear observer is designed to provide the estimation of unmeasurable state and modelling uncertainty, which are used to construct fault estimation algorithm. Considering the sampling intervals occurred by net, a fault-tolerant control method is proposed for such nonlinear NCSs using the impulsive system techniques. The controller gain and the maximum sampling interval, which make the faulty system stable are given. An example is included to show the efficiency of the proposed method.

### MSC:

 93C10 Nonlinear systems in control theory 93B07 Observability 93B35 Sensitivity (robustness)
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### References:

 [1] Zhang, W.; Branicky, M.S.; Phillips, S.M., Stability of networked control systems, IEEE control systems magazine, 21, 84-99, (2001) [2] Walsh, G.C.; Ye, H.; Bushnell, L., Stability analysis of networked control systems, IEEE transactions on control systems technology, 10, 3, 438-446, (2002) [3] P. Naghshtabrizi, J.P. Hespanha, Designing observer-based controller for network control system, in: Proceedings of the 44th Conference on Decision and Control, vol. 4, 2005, pp. 2876-2880. [4] Gao, H.J.; Chen, T.W., New results on stability of discrete-time systems with time-varying state delay, IEEE transactions on automatic control, 52, 2, 328-334, (2007) · Zbl 1366.39011 [5] Xia, Y.Q.; Zhu, Z.; Mahmoud, M.S., H2 control for networked control systems with Markovian data losses and delays, ICIC express letters, 3, 3A, 271-276, (2009) [6] Zhu, X.M.; Hua, C.C.; Wang, S., State feedback controller design of networked control systems with time delay in the plant, International journal of innovative computing, information and control, 4, 2, 283-290, (2008) [7] Blanke, M.; Kinnaert, M.; Lunzeand, J.; Staroswiecki, M., Diagnosis and fault-tolerant control, (2006), Springer Berlin, Heidelberg [8] Tao, G.; Tang, X.D.; Chen, S.H.; Fei, J.T.; Joshi, S.M., Adaptive failure compensation of two-state actuators for a morphing aircraft lateral model, IEEE transactions on control systems technology, 14, 1, 157-164, (2006) [9] Staroswiecki, M.; Comtet-Varga, G., Analytical redundancy relations for fault detection and isolation in algebraic dynamic systems, Automatica, 37, 5, 687-699, (2001) · Zbl 1007.93029 [10] Mahmoud, M., Stabilizing controllers for a class of discrete time fault tolerant control systems, ICIC express letters, 2, 3, 213-218, (2008) [11] Tong, S.C.; Wang, T.C.; Zhang, W., Fault tolerant control for uncertain fuzzy systems with actuator failures, International journal of innovative computing, information and control, 4, 10, 2461-2474, (2008) [12] Jiang, B.; Chowdhuery, F.N., Fault estimation and accommodation for linear MIMO discrete-time systems, IEEE transactions on control systems technology, 13, 3, 493-499, (2005) [13] Mao, Z.H.; Jiang, B., Fault identification and fault-tolerant control for a class of networked control systems, International journal of innovative computing, information and control, 3, 5, 1121-1130, (2007) [14] He, X.; Wang, Z.D.; Zhou, D.H., Networked fault detection with random communication delays and packet losses, International journal of systems science, 39, 11, 1045-1054, (2008) · Zbl 1168.93369 [15] Gao, H.; Chen, T.; Wang, L., Robust fault detection with missing measurements, International journal of control, 81, 5, 804-819, (2007) · Zbl 1152.93346 [16] S. Klinkhieo, C. Kambhampati, R.J. Patton, Fault tolerant control in NCS medium access constraints, in: Proceedings of 2007 IEEE International Conference on Networking, Sensing and Control, London, UK, 2007, pp. 416-423. [17] Mao, Z.H.; Jiang, B.; Shi, P., $$H_\infty$$ fault detection filter design for networked control systems modelled by discrete Markovian jump systems, IET control theory and application, 1, 5, 1336-1343, (2007) [18] Spong, M., Modeling and control of elastic joint robots, ASME journal of dynamic systems, measurement and control, 109, 310-319, (1987) · Zbl 0656.93052 [19] Rajamani, R.; Hedrick, J.K., Adaptive observers for active automotive suspensions: theory and experiment, IEEE transactions on control systems technology, 3, 1, 86-93, (1995) [20] Staroswiecki, M.; Comtet-Varga, G., Analytical redundancy relations for fault detection and isolation in algebraic dynamic systems, Automatica, 37, 5, 687-699, (2001) · Zbl 1007.93029 [21] Xu, A.; Zhang, Q., Nonlinear system fault diagnosis based on adaptive estimation, Automatica, 40, 7, 1181-1193, (2004) · Zbl 1056.93034 [22] Frisk, E.; Nielsen, L., Robust residual generation for diagnosis including a reference model for residual behavior, Automatica, 42, 3, 437-445, (2006) · Zbl 1123.93050 [23] Shim, H.; Son, Y.I.; Seo, J.H., Semi-global observer for multi-output nonlinear systems, Systems & control letters, 42, 3, 233-244, (2001) · Zbl 0985.93006 [24] Jiang, B.; Staroswiecki, M.; Cocquempot, V., Fault accommodation for a class of nonlinear dynamic systems, IEEE transactions on automatic control, 51, 9, 1578-1583, (2006) · Zbl 1366.93694 [25] Jiang, B.; Staroswiecki, M.; Cocquempot, V., Fault diagnosis based on adaptive observer for a class of nonlinear systems with unknown parameters, International journal of control, 77, 4, 415-426, (2004) · Zbl 1098.93013 [26] Khalil, H.K., Nonlinear systems, (2002), Prentice-Hall Upper Saddle River, NJ · Zbl 0626.34052 [27] Sontag, E.; Wang, Y., New characterizations of input-to-state stability, IEEE transactions on automatic control, 41, 9, 1283-1294, (1996) · Zbl 0862.93051 [28] Sontag, E.; Wang, Y., On characterizations of the input-to-state stability property, Systems & control letters, 24, 5, 351-359, (1995) · Zbl 0877.93121 [29] Walsh, G.C.; Ye, H.; Bushnell, L., Stability analysis of networked control systems, IEEE transactions on control systems technology, 10, 3, 438-446, (2002) [30] Fridman, E.; Shaked, U., New bounded real lemma representations for time-delay systems and their applications, IEEE transactions on automatic control, 46, 2, 1973-1979, (2001) · Zbl 1006.93055 [31] Gao, H.; Wang, C., Comments and further results on “A descriptor system approach to $$H_\infty$$ control of linear time-delay systems”, IEEE transactions on automatic control, 48, 3, 520-525, (2003) · Zbl 1364.93211 [32] El Ghaoui, L.; Oustry, F.; Aitrami, M., A cone complementarity linearization algorithm for static output-feedback and related problems, IEEE transactions on automatic control, 42, 8, 1171-1176, (1997) · Zbl 0887.93017 [33] Xu, S.; Lam, J.; Zoua, Y., New results on delay-dependent robust $$H_\infty$$ control for systems with time-varying delays, Automatica, 42, 2, 343-348, (2006) · Zbl 1099.93010 [34] Yan, X.G.; Edwards, C., Nonlinear robust fault reconstruction and estimation using a sliding mode observer, Automatica, 43, 9, 1605-1614, (2007) · Zbl 1128.93389
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