Robust Stability and Stabilization of Deterministic Networked Control Systems

Abstract:

Feedback control systems wherein the control loops are closed through a real-time network are called networked control systems. Under some special conditions proposed in literature, the networked control systems with stochastic time delay can be transformed a deterministic system with a constant delay. Based on linear time invariant discrete time process, the robust stability of deterministic networked control systems is analyzed and the designing method of robust state feedback controller for deterministic networked control systems is proposed in this paper for the first time. An example is given to verify the theory results of this paper.

• Periodical: Advanced Materials Research (Volumes 433-440)
• Pages: 4108-4113
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.433-440.4108
• Online since: January 2012
• Authors: Yan Ping Wang, Qi Xin Zhu
• Keywords: Deterministic Networked Control Systems, Robust Stability, Stabilization

References

[1] F.L. Lian, J. Moyne, &D. Tilbury, Performance evaluation of control networks: Ethernet, ControlNet, and DeviceNet, IEEE Control System Magazine, vol. 46 , 2001, pp.66-83.

DOI: 10.1109/37.898793

[2] Z. Wei, S.B. Michael , and S. M. Philips, Stability of networked control systems, IEEE Control Systems Magazine, vol. 121, no. 1, 2001, pp.84-99.

[3] G. C. Walsh, O. Beldiman, and L.G. Bushnell, Asymptotic behavior of nonlinear networked control systems, IEEE Trans. Automat. Cont, vol. 164, no. 4, 2001，pp.1093-1097.

DOI: 10.1109/9.935062

[4] Q.X. Zhu, H.L. Liu, & S.S. Hu, Uniform model of networked control systems with long time delay. Journal of Systems Engineering and Electronics, vol. 19, 2008, pp.94-98.

[5] L. Zhang, D. Hristu-Varsakelis, Communication and control co-design for networked control systems, Automatica, vol. 42, no. 6, 2006, pp.953-958.

DOI: 10.1016/j.automatica.2006.01.022

[6] C. Lin, Z.D. Wang, F.W. Yang, Observer-based networked control for continuous-time systems with random sensor delays. Automatica, vol. 45, no. 2, 2009, pp.578-584.

DOI: 10.1016/j.automatica.2008.09.009

[7] H.J. Gao, T.W. Chen, Network-based output tracking control. IEEE Transactions on Automatic Control, vol. 53, no. 3, 2008, pp.655-667.

DOI: 10.1109/tac.2008.919850

[8] W.A. Zhang, L. Yu, Modelling and control of networked control systems with both network-induced delay and packet-dropout. Automatica, 44(12), 2008: 3181-3188.

DOI: 10.1016/j.automatica.2008.09.001

[9] S. Hui, W.Y. Yan, Stability of networked control systems under a multiple-packet transmission policy. IEEE Transactions on Automatic Control, vol. 53, no. 7, 2008, pp.1706-1711.

DOI: 10.1109/tac.2008.929379

[10] Q.X. Zhu, H.L. Liu, S.S. Hu, The multi-step predicting controllers for deterministic networked control systems. Acta Armamentarii, vol. 30, no. 8, 2009, pp.1124-1128.

[11] L-W. Liou , A. Ray , A stochastic regulator for integrated communication and control systems: Part Ⅰ- formulation of control law, Transactions of the ASME, vol. 113, no. 4, 1991, pp.604-611.

DOI: 10.1115/1.2896464

[12] R. Krtolica, U. Özgüner and H. Goktas et al., Stability of linear feedback systems with random communication delays. International Journal of Control , vol. 59, no. 4, 1994, pp.25-53.

DOI: 10.1080/00207179408923111

[13] J. Nillsson, Real- time control systems with delays. PhD thesis, Lund Institute of Technology, Sweden, (1998).

[14] S.S. Hu, Q.X. Zhu, Stochastic optimal control and analysis of stability of networked control systems with long delay. Automatica，vol. 39, no. 11, 2003, pp.1877-188.

DOI: 10.1016/s0005-1098(03)00196-1

[15] Y.S. Lee W.H. Kwon, Delay-dependent robust stabilization of uncertain discrete-time state-delayed systems. Proc. of 15th Triennial World Congress, Barcelona, Spain, (2002).

DOI: 10.3182/20020721-6-es-1901.00612