New Approaches for Network-Based Control Systems with Time-Varying Delays

Abstract:

In this paper, a delay distribution based stability analysis and synthesis approach for networked control systems (NCSs) of network communication delays is proposed. A bounded delay control model is established to describe the NCSs. Then, delay distribution-dependent NCSs stability criteria are derived in the form of linear matrix inequalities (LMIs). Also, the problem of H_Κ performance analysis for NCSs with time varying delays components is also studied. The results are illustrated by numerical examples.

• Periodical: Applied Mechanics and Materials (Volumes 152-154)
• Pages: 1821-1827
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.152-154.1821
• Online since: January 2012
• Authors: Zhong Min Liu, Yi Wei Feng, Dong Song Luo
• Keywords: Delay, LMI, NCSs, Stability Criterion

References

[1] A. J. Rojas, J. H. Braslavsky, and R. H. Middleton, Fundamental limitations in control over a communication channel, Automatica, vol. 44, pp.3147-3151, (2008).

DOI: 10.1016/j.automatica.2008.05.014

[2] O. C. Imer, S. Yuksel, and T. Basar, Optimal control of LTI systems over unreliable communication links, Automatica, vol. 42, pp.1429-1439, (2006).

DOI: 10.1016/j.automatica.2006.03.011

[3] 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, pp.1584-1594, (2010).

DOI: 10.1016/j.automatica.2010.06.017

[4] L. Wang and C. Shao, The design of a hybrid output feedback controller for an uncertain delay system with actuator failures based on the switching method, Nonlinear Analysis: Hybrid Systems, vol. 4, pp.165-175, (2010).

DOI: 10.1016/j.nahs.2009.09.005

[5] S. Tarbouriech, C. Prieur, and I. Queinnec, Stability analysis for linear systems with input backlash through sufficient LMI conditions, Automatica, vol. 46, pp.1911-1915, (2010).

DOI: 10.1016/j.automatica.2010.07.005

[6] L. Huang and X. Mao, On Almost Sure Stability of Hybrid Stochastic Systems With Mode-Dependent Interval Delays, Automatic Control, IEEE Transactions on, vol. 55, pp.1946-1952, (2010).

DOI: 10.1109/tac.2010.2050160

[7] N. Vatanski, J. -P. Georges, C. Aubrun, E. Rondeau, and et al, Networked control with delay measurement and estimation, Control Engineering Practice, vol. 17, pp.231-244, (2009).

DOI: 10.1016/j.conengprac.2008.07.004

[8] W. P. M. H. Heemels, A. R. Teel, N. van de Wouw, and D. Nesic, Networked Control Systems With Communication Constraints: Tradeoffs Between Transmission Intervals, Delays and Performance, Automatic Control, IEEE Transactions on, vol. 55, pp.1781-1796, (2010).

DOI: 10.1109/tac.2010.2042352

[9] H. Fujioka and K. Ito, Performance optimization for a class of networked control systems with communication constraints, American Control Conference, 2003. Proceedings of the 2003, pp.248-253 vol. 241, (2003).

DOI: 10.1109/acc.2003.1238946

[10] F. Lian, J. Moyne, and D. Tilbury, Performance evaluation of control networks: Ethernet, ControlNet, and DeviceNet, IEEE Control Systems Magazine, vol. 21, pp.66-83, (2001).

DOI: 10.1109/37.898793