Abstract
Stability of a networked predictive control system subject to network-induced delay and data dropout is investigated in this study. By modeling the closed-loop system as a switched system with an upper-triangular structure, a necessary and sufficient stability criterion is developed. From the criterion, it also can be seen that separation principle holds for networked predictive control systems. A numerical example is provided to confirm the validity and effectiveness of the obtained results.
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Halevi Y, Ray A. Integrated communication and control systems: Part I-Analysis. J Dyn Syst Meas Control, 1989, 110: 367–373
Zhang W, Branicky M S, Phillips S M. Stability of networked control systems. IEEE Control Syst Mag, 2001, 21: 84–99
Yue D, Han Q L, Peng C. State feedback controller design of networked control systems. IEEE T Circuits-II, 2004, 51: 640–644
Yue D, Han Q L, Lam J. Network-based robust H∞ control of systems with uncertainty. Automatica, 2005, 41: 999–1007
He Y, Liu G P, Rees D, et al. Improved stabilization method for networked control systems. IEE P-Contr Theor Ap, 2007, 1: 1580–1585
Gao H, Chen T, Lam J. A new delay system approach to network-based control. Automatica, 2008, 44: 39–52
Lin H, Antsaklis P J. Stability and persistent disturbance attenuation properties for networked control systems: switched system approach. Int J Control, 2005, 78: 1447–1458
Zhang W A, Yu L. Output feedback stabilization of networked control systems with packet dropouts. IEEE T Automat Contr, 2007, 52: 1705–1710
Kruszewski A, Jiang W, Fridman E, et al. A switched system approach to exponential stabilization through communication network. IEEE T Contr Syst T, 2012, 20: 887–900
Xiao L, Hassibi A, How J. Control with random communication delays via a discrete-time jump system approach. In: American Control Conference, Chicago, 2000. 2199–2204
Zhang L, Shi Y, Chen T, et al. A new method for stabilization of networked control systems with random delays. IEEE T Automat Contr, 2005, 50: 177–1181
Shi Y, Yu B. Output feedback stabilization of networked control systems with random delays modeled by Markov chains. IEEE T Automat Contr, 2009, 54: 1668–1674
Zheng Y, Fang H, Wang H. Takagi-sugeno fuzzy-model-based fault detection for networked control systems with Markov delays. IEEE T Syst Man Cy B, 2006, 36: 924–929
Xia F, Li S, Sun Y. Neural network based feedback scheduler for networked control system with flexible workload. Adv Nat Comput Lect Notes Comput Sci, 2005, 3611: 242–251
Zhou J, Wu X J, Liu Z R. Distributed coordinated adaptive tracking in networked redundant robotic systems with a dynamic leader. Sci China Tech Sci, 2014, 57: 905–913
Yang T C. Networked control system: a brief survey. IET Control Theory Appl, 2006, 153: 403–412
Hespanha J P, Naghshtabrizi P, Xu Y. A survey of recent results in networked control systems. P IEEE, 2007, 95: 138–162
Gupta R A, Chou M Y. Networked control system: overview and research trends. IEEE T Ind Electron, 2010, 57: 2527–2535
Zhang L, Gao H, Kaynak O. Network-induced constraints in networked control systems–a survey. IEEE T Ind Inform, 2013, 9: 403–416
Liu G P, Mu J, Rees D. Networked predictive control of systems with random communication delays. In: Proceedings of UKACC International Conference on Control, Bath, UK, 2004
Liu G P, Mu J, Rees D. Design and stability analysis of networked control systems with random communication time delay using the modified MPC. Int J Control, 2006, 79: 288–297
Liu G P, Xia Y Q, Chen J, et al. Design and stability criteria of networked predictive control systems with random network delay in the feedback channel. IEEE T Syst Man Cy B, 2007, 37: 173–184
Liu G P, Xia Y, Chen J, et al. Networked predictive control of systems with random network delays in both forward and feedback channels. IEEE T Ind Electron, 2007, 54: 1282–1297
Liu G P, Chai S C, Mu J X, et al. Networked predictive control of systems with random delay in signal transmission channels. Int J Syst Sci, 2008, 39: 1055–1064
Liu G P. Predictive controller design of networked systems with communication delays and data loss. IEEE T Circuits-II, 2010, 57: 481–485
Zhao Y B, Liu G P, Rees D. Design of a packet-based control framework for networked control systems. IEEE T Control Syst T, 2009, 17: 859–865
Wang R, Liu G P, Wang W, et al. H∞ control for networked predictive control systems based on switched Lyapunov function method. IEEE T Ind Electron, 2010, 57: 3565–3571
Pang Z H, Liu G P. Design and practical implementation of secure networked predictive control systems. IEEE T Contr Syst T, 2012, 20: 1334–1342
Xiong J, Lam J. Stabilization of networked control systems with a logic ZOH. IEEE T Automat Contr, 2009, 54: 358–363
Liberzon D. Switching in Systems and Control. Boston, MA: Birkhauser, 2003
Gao H, Chen T. New results on stability of discrete-time systems with time-varying state delay. IEEE T Automat Contr, 2007, 52: 328–334
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Sun, J., Chen, J. & Gan, M. A necessary and sufficient stability criterion for networked predictive control systems. Sci. China Technol. Sci. 59, 2–8 (2016). https://doi.org/10.1007/s11431-015-5973-2
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DOI: https://doi.org/10.1007/s11431-015-5973-2