Robust Model for Networked Control System with Packet Loss

Authors

1 Department of Computer Engineering, Central Tehran Branch, Islamic Azad University, Tehran, Iran.

2 Department of Electrical Engineering Science & Research Branch, Islamic Azad University, Tehran, Iran.

3 Young Researchers and Elite Club, Buinzahra Branch, Islamic Azad University, Buinzahra, Iran.

Abstract

The Networked Control System in modern control widely uses to decrease the implementation cost and increasing the performance. NCS in addition to its advantages is inevitable. Nevertheless they suffer of some limitations and deficiencies. Packet loss is one of the main limitations which affect the control system in different conditions and finally may lead to system instability. For this reason, it is important to model the system properly. In this paper, a new model has been proposed that is very simple and independent from the main system. This model based on Robust Theory structure. Robust theory is a branch of control theory that explicitly deals with uncertainty in its approach to controller design. Robust control methods are designed to function properly so long as uncertain parameters or disturbances are within some (typically compact) set.

Keywords


[1]
Luca Schenato, “To Zero or to Hold Control Inputs With Lossy Links”, IEEE Trans. On Automatic Control, Vol.54, No.5, May 2009.
[2]
Huiying Chen, Wanliang Wang, Zuxin Li, “Synthetic Modeling and Control of Networked Control Systems with
Multi-packet Transmission”, International Conference on Advanced Computer Control, Aug. 2012.
[3]
Xiaosheng Fang, Jingcheng Wang, “Stochastic Observer-based Guaranteed Cost Control for Networked Control Systems with Packet Dropouts”, Proceedings of the 17th World Congress The International Federation of Automatic Control Seoul, Korea, July 6-11, 2013.
[4]
Ling Q., Lemmon M.D., “Soft real-time scheduling of networked control systems with dropouts governed by a Markov chain”, Proc. American Control Conf., pp.4845 –4850, 2003.
[5]
Seiler P., Sengupta R.,”An H approach to networked control”, IEEE Trans. Autom. Control, Vol.50, No.3, pp.356 –364, 2005.
[6]
Wu J., Chen T., “Design of networked control systems with packet dropouts”, IEEE Trans. Autom. Control, Vol.52, No7, pp. 1314–1319, 2007.
[7]
Wang Z., Ho D.W.C., Liu X., “Variance-constrained control for uncertain stochastic systems with missing measurements”, IEEE Trans. Syst. Man. And Cybern, Vol.5, No.35, pp.746–753, 2005.
[8]
Wang Z., Yang F., Ho D.W.C., Liu X., “Robust H1control for networked systems with random packet losses”, IEEE Trans. Syst. Man Cybern., Vol.37, No.4, pp.916–924, 2007.
[9]
Yang F., Wang Z.D., Ho W.C., Gani M., “Robust H control with missing measurements and time-delays”, IEEE Trans. Autom. Control, Vol.52, No.9, pp.1666–1672, 2007.
[10]
Y. Wang, G. Yang, “H∞ Controller Design for Networked Control Systems via Active-varying Sampling Period Method”, Automatica sinica, Jul. 2008.
[11]
Radek Matusu, Roman Prokop, and Libor Pekar, “Parametric and unstructured approach to uncertainty modelling and robust stability analysis”, International Journal of Mathematical Models and Methods in Applied Sciences, Feb. 2013.
[12]
S. Lun, S. Wang, “Robust H∞ cost control for Networked
control systems based on T-S model”, IEEE Transactions on systems, Apr. 2010.