State Estimation and Stability Analysis of Networked Control Systems with Multi-Quantized Output Feedback

Abstract:

This paper is concerned with closed-loop stability analysis and dynamic quantization parameters design of discrete-time networked control systems (NCSs) with noise disturbance. First, based on the Lyapunov function, two state invariant regions of estimation error system and plant system are constructed. The quadratically attractive conditions of the two systems are obtained by using the proposed invariant region sequence, respectively. Second, a quantized control strategy is presented by dynamically adjusting the scaling parameters of logarithmic quantizers. Moreover, the connection of quadratic stability between the plant system and the estimation error system is also given.

• Periodical: Applied Mechanics and Materials (Volumes 48-49)
• Pages: 1101-1105
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.48-49.1101
• Online since: February 2011
• Authors: Lin Bo Xie, Fang Huang, He Guang Liu
• Keywords: Invariant Region, Networked Control System (NCS), Quadratically Stable, Quantized Output Feedback

References

[1] G.N. Nair, R.J. Evans, in: Stabilization with data-rate-limited feedback: tightest attainable bounds [J]. Systems & Control Letters, 2000, 41(1): 49-56.

DOI: 10.1016/s0167-6911(00)00037-2

[2] S. Takikonda, S.K. Mitter, in: Control under communication constraints [J]. IEEE Transactions on Automatic Control, 2004, 49(7): 1056-1068.

DOI: 10.1109/tac.2004.831187

[3] Delchamps, D, in: The stabilization of linear systems with quantized feedback [C], IEEE Conference. Decision and Control, 1998: pp.405-410.

[4] D. Liberzon, in: Hybrid feedback stabilization of systems with quantized signals [J], Automatica, 2003, 39(9): 1543-1554.

DOI: 10.1016/s0005-1098(03)00151-1

[5] L. Vu and D, Liberzon, in: Stabilizing uncertain systems with dynamic quantization [C], Proceedings of the 47th IEEE Conference on Decision and Control, Cancun, Mexico, pp.4681-4686, (2008).

DOI: 10.1109/cdc.2008.4739376

[6] M. Fu, L. Xie, in: Finite-level quantized feedback control for linear systems [J]. IEEE Transactions on Automatic Control, 2009, 54(5): 1165-1170.

DOI: 10.1109/tac.2009.2017815

[7] M. Fu, C.E. de Souza, in: State estimation for linear discrete-time systems using quantized measurements [J]. Automatica, 2009, 45(12): 2937-2945.

DOI: 10.1016/j.automatica.2009.09.033

[8] H. Ishii, T. Basar, in: Remote control of LTI systems over networks with state quantization [J]. Systems and Control Letters, 2005, 54(1): 15-31.

DOI: 10.1016/j.sysconle.2004.06.002

[9] T. Hayakawa, H. Ishii, K. Tsumura, in: Adaptive quantized control for linear uncertain discrete time systems [J]. Automatica, 2009, 45(3): 692-700.

DOI: 10.1016/j.automatica.2008.07.005

[10] G. Zhai, Y. Matsumoto, X. Chen, Y. Mi, in: Hybrid stabilization of linear time-invariant systems with two quantizers [C]. Proceedings of the 2004 IEEE International Symposium on Intelligent Control, 2004, pp.305-309.

DOI: 10.1109/isic.2004.1387700