Stability Analysis and Controller Design of Networked Control Systems with Packet Dropout

Abstract:

In this paper, the stability and stabilization problems of a class of networked control systems (NCSs) with bounded packet dropout are investigated. An iterative approach is proposed to model NCSs with bounded packet dropout as Markovian jump linear systems (MJLSs). The transition probabilities of MJLSs are partly unknown due to the complexity of network. The system under consideration is more general, which covers the systems with completely known and completely unknown transition probabilities as two special cases. Moreover, both sensor-to-controller and controller-to-actuator packet dropouts are considered simultaneously. The sufficient conditions for stochastic stability and stabilization of the underlying systems are derived via linear matrix inequalities (LMIs) formulation. Lastly, an illustrative example is given to demonstrate the effectiveness of the proposed results.

• Periodical: Advanced Materials Research (Volume 629)
• Pages: 835-839
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.629.835
• Online since: December 2012
• Authors: Ye Guo Sun
• Keywords: Networked Control System (NCS), Packet Dropout Process, Stochastically Stable

References

[1] P.V. Zhivoglyadov and R.H. Middleton, Networked control design for linear systems, Automatica, vol. 39, pp.743-750, (2003).

DOI: 10.1016/s0005-1098(02)00306-0

[2] R. Krtolica and U. Ozguner, Stability of linear feedback systems with random communication delays, Int. J. Control, vol. 39, no. 4, pp.925-953, (1994).

[3] L.A. Montestruque and P. Antasklis, Stability of model-based networked control systems with time-varying transmission times, IEEE Trans. Autom. Control, vol. 49, no. 9, pp.1562-1572, (2004).

DOI: 10.1109/tac.2004.834107

[4] D. Yue, Q.L. Han, and C. Peng, State feedback controller design of networked control systems, IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 51, no. 11, pp.640-644, (2004).

DOI: 10.1109/tcsii.2004.836043

[5] A. Rabello and A. Bhaya, Stability of asynchronous dynamical systems with rate constraints andapplication, Inst. Electr. Eng. Proc. Control Theory Appl., vol. 150, no. 5, pp.546-550, (2003).

DOI: 10.1049/ip-cta:20030704

[6] M. Yu, L. Wang, G.M. Xie, and T.G. Chu, Stabilization of networked control systems with data packet dropout via switched system approach, Proc. IEEE Int. Symp. Comput. Aided Contro lSyst. Design, 2004, pp.362-367.

DOI: 10.1109/cacsd.2004.1393903

[7] J.Y. Yu, L. Wang, and M. Yu, Stabilization of networked control systems via packet-loss dependent output feedback controllers, Proc. Amer. Control Conf., 2008, pp.3620-3625.

DOI: 10.1109/acc.2008.4587055

[8] J.L. Xiong and J. Lam, Stabilization of linear systems over networks with bounded packet loss, Automatica, vol. 43, no. 1, pp.80-87, (2007).

DOI: 10.1016/j.automatica.2006.07.017

[9] J.Y. Yu, L. Wang, G.F. Zhang, and M. Yu, Output feedback stabilization of networked control systems via switched system approach, International Journal of Control, vol. 82, no. 9, pp.1665-1677, (2009).

DOI: 10.1080/00207170802657355

[10] D. Yue, Q.L. Han, and J. Lam, Network-based robust control of systems with uncertainty, Automatica, vol. 41, no. 6, pp.999-1007, (2005).