The integrity design problem of fault tolerant control for networked control system (NCS) with actuator failures and data packet dropouts is investigated. The data packet dropouts in both sensor-controller (S-C) and controller-actuator (C-A) links are described by two switches, which can be modeled as a discrete event system with known rate. After introducing the matrix of actuator failure, the closed-loop NCS is developed, which can be viewed as asynchronous dynamical systems (ADSs). Then, the sufficiency of exponential stability for the NCS is obtained based on the theory of ADSs. The output feedback controllers that can guarantee system stability are also proposed. Finally, two numerical examples are given to demonstrate the validity of our proposed approach. 1. Introduction Along with the rapid development of communication networks, a great amount of effort has been made on fault-tolerant control (FTC) problems for networked control systems (NCSs) recently. NCSs are distributed systems, which are comprised of controlled plants actuators, sensors, and controllers. The essential feature of NCSs is that the information is exchanged through some form of communication networks (as in [1–5]). The use of a shared network to connect spatially distributed devices results in flexible architectures and generally reduces installation and maintenance costs. Consequently, NCSs have been widely applied to many complex control systems, for example, unmanned aerial vehicles, avionics industries, remote surgery, and rapid transit trains. However, the insertion of networks also brings some new issues, such as network-induced delay (as in [1, 6–12]) and data packet dropout (as in [1, 13–15]), which make NCSs more vulnerable to faults than conventional systems. As we know, research on FTC strives to make the system stable and retain acceptable performance under the system faults. An important part of FTC is the one specializing in actuator faults, FTC techniques dealing with actuator faults are relevant for practical application and have already been the subject of many publications (as in [16–19]). Therefore, a suitable architecture for FTC of NCSs must take the dynamical behavior of network into consideration (as in [8–12, 14, 15, 20–23]). A wide range of research has recently been reported dealing with problems related to the FTC for NCSs with network-induced delay (as in [8–11]). As compared to the plentiful works on FTC for NCSs with network-induced delay, only a few attention has been paid to the study of FTC for NCSs with data packet dropout (as in [14, 15, 23]).
References
[1]
W. Zhang, M. S. Branicky, and S. M. Phillips, “Stability of networked control systems,” IEEE Control Systems Magazine, vol. 21, no. 1, pp. 84–97, 2001.
[2]
G. C. Walsh, H. Ye, and L. G. Bushnell, “Stability analysis of networked control systems,” IEEE Transactions on Control Systems Technology, vol. 10, no. 3, pp. 438–446, 2002.
[3]
J. P. Hespanha, P. Naghshtabrizi, and Y. Xu, “A survey of recent results in networked control systems,” Proceedings of the IEEE, vol. 95, no. 1, pp. 138–172, 2007.
[4]
R. A. Gupta and M.-Y. Chow, “Networked control system: overview and research trends,” IEEE Transactions on Industrial Electronics, vol. 57, no. 7, pp. 2527–2535, 2010.
[5]
M. B. G. Cloosterman, L. Hetel, N. van de Wouw, W. P. M. H. Heemels, J. Daafouz, and H. Nijmeijer, “Controller synthesis for networked control systems,” Automatica, vol. 46, no. 10, pp. 1584–1594, 2010.
[6]
L. Zhang, Y. Shi, T. Chen, and B. Huang, “A new method for stabilization of networked control systems with random delays,” IEEE Transactions on Automatic Control, vol. 50, no. 8, pp. 1177–1181, 2005.
[7]
Y. Shi and B. Yu, “Output feedback stabilization of networked control systems with random delays modeled by Markov chains,” IEEE Transactions on Automatic Control, vol. 54, no. 7, pp. 1668–1674, 2009.
[8]
S. Q. Wang, J. Feng, and H. G. Zhang, “Robust fault tolerant control for a class of networked control systems with state delay and stochastic actuator failures,” International Journal of Adaptive Control and Signal Processing, 2012.
[9]
C.-X. Yang, Z.-H. Guan, and J. Huang, “Stochastic fault tolerant control of networked control systems,” Journal of the Franklin Institute, vol. 346, no. 10, pp. 1006–1020, 2009.
[10]
E. Tian, D. Yue, and C. Peng, “Reliable control for networked control systems with probabilistic sensors and actuators faults,” IET Control Theory and Applications, vol. 4, no. 8, pp. 1478–1488, 2010.
[11]
C. Peng, T. C. Yang, and E. G. Tian, “Robust fault-tolerant control of networked control systems with stochastic actuator failure,” IET Control Theory and Applications, vol. 4, no. 12, pp. 3003–3011, 2010.
[12]
X. M. Huang, X. Li, C. J. Long, and Y. Gao, “Guaranteed cost fault-tolerant control of networked control systems with short output delay and short control delay based on state observer,” Journal of Networks, vol. 8, no. 4, pp. 836–842, 2013.
[13]
C. Wang, Z. Yuan, and Q. Li, “Stability of networked control systems with data packet dropout,” in Proceedings of the 4th IEEE Conference on Industrial Electronics and Applications (ICIEA '09), pp. 2734–2737, May 2009.
[14]
X. M. Qi, C. Zhang, and J. Gu, “Robust fault-tolerant control for uncertain networked control systems with state-delay and random data packet dropout,” Journal of Control Science and Engineering, vol. 2012, Article ID 734758, 7 pages, 2012.
[15]
Z. Huo and H. Fang, “Research on robust fault-tolerant control for networked control system with packet dropout,” Journal of Systems Engineering and Electronics, vol. 18, no. 1, pp. 76–82, 2007.
[16]
M. Blanke, M. Kinnaert, J. Lunze, and M. Staroswiecki, Diagnosis and Fault-Tolerant Control, Springer, Berlin, Germany, 2003.
[17]
J. Chen and R. J. Patton, Robust Model-Based Fault Diagnosis for Dynamic Systems, Kluwer Academic Publishers, Boston, Mass, USA, 1999.
[18]
Y. Zhang and J. Jiang, “Bibliographical review on reconfigurable fault-tolerant control systems,” Annual Reviews in Control, vol. 32, no. 2, pp. 229–252, 2008.
[19]
B. Jiang, Z. H. Mao, H. Yang, and Y. M. Zhang, Fault Diagnosis and Fault Accommodation for Control Systems, National Defense Industry Press, 2009.
[20]
S. X. Ding, P. Zhang, and Ch. Chihaia, “Advanced design scheme for fault tolerant distributed networked control systems,” in Proceedings of the 17th World Congress International Federation of Automatic Control, pp. 13569–13574, 2008.
[21]
Z. Mao, B. Jiang, and P. Shi, “Observer based fault-tolerant control for a class of nonlinear networked control systems,” Journal of the Franklin Institute, vol. 347, no. 6, pp. 940–956, 2010.
[22]
X. M. Qi, C. J. Zhang, and J. Gu, “Output feedback fault tolerent control for networked control systems with random access,” Control and Inteligent Systems, vol. 40, no. 4, pp. 226–233, 2012.
[23]
M.-Y. Zhao, H.-P. Liu, Z.-J. Li, and D.-H. Sun, “Fault tolerant control for networked control systems with packet loss and time delay,” International Journal of Automation and Computing, vol. 8, no. 2, pp. 244–253, 2011.
[24]
A. Hassibi, S. P. Boyd, and J. P. How, “Control of asynchronous dynamical systems with rate constraints on events,” in Proceedings of the 38th IEEE Conference on Decision and Control (CDC '99), pp. 1345–1351, December 1999.
[25]
A. Rabello and A. Bhaya, “Stability of asynchronous dynamical systems with rate constraints and applications,” in Proceedings of the American Control Conference, pp. 1284–1289, May 2002.
