ICA  Vol.5 No.1 , February 2014
H-Infinite Controller Design of Singular Networked Control Systems
Author(s) Zhanzhi Qiu, Lei Shi
ABSTRACT

This paper investigates the H controller design method for a class of singular networked control systems (SNCS) based on the singular plant. In view of the network-induced delay less than or equal to a sampling period, finite external disturbance, clock-driven sensors, event-driven controller and actuators as well as impulse behavior and structural instability of singular plants, the H controller design method of SNCS with state feed- back way and dynamic output feedback way is investigated respectively by means of the linear matrix inequality method. The existence condition of H control law, the solving approaches of H controller parameters and disturbance attenuation degree are presented. Finally, a simulation example is given to illustrate the effectiveness and feasibility of the presented method.


Cite this paper
Qiu, Z. and Shi, L. (2014) H-Infinite Controller Design of Singular Networked Control Systems. Intelligent Control and Automation, 5, 24-34. doi: 10.4236/ica.2014.51004.
References
[1]   W. Zhang, M. S. Branicky and S. M. Phillips, “Stability of Networked Control Systems,” IEEE Control Systems Magazine, Vol. 21, No. 1, 2001, pp. 84-99.
http://dx.doi.org/10.1109/37.898794

[2]   F. Y. Wang and C. H. Wang, “On Some Basic Issues in Networked-Based on Direct Control Systems,” Acta Automatica Sinica, Vol. 28, 2002, pp. 171-176.

[3]   Z. Wang and H. J. Gao, “Dynamics Analysis of Gene Regulatory Networks,” International Journal of Systems Science, Vol. 41, No. 1, 2010, pp. 1-4.
http://dx.doi.org/10.1080/00207720903477952

[4]   H. J. Gao, T. W. Chen and J. Lam, “A New Delay System Approach to Network-Based Control,” Automatica, Vol. 44, No. 1, 2008, pp. 39-52.
http://dx.doi.org/10.1016/j.automatica.2007.04.020

[5]   C. Jiang, D. Zou, Q. L. Zhang, et al., “Quantized Dynamic Output Feedback Control for Networked Control Systems,” Journal of Systems Engineering and Electronics, Vol. 21, No. 6, pp. 1025-1032.

[6]   M. Liu and J. You, “Observer-Based Controller Design for Networked Control Systems with Sensor Quantization and Random Communication Delay,” International Journal of Systems Science, Vol. 43, No. 10, 2011, pp. 1-12.

[7]   M. Liu, Q. Wang and H. Li, “State Estimation and Stabilization for Nonlinear Networked Control Systems with Limited Capacity Channel,” Journal of the Franklin Institute, Vol. 348, No. 8, 2011, pp. 1869-1885.
http://dx.doi.org/10.1016/j.jfranklin.2011.05.008

[8]   W. Yang, M. Liu and P. Shi, “ Filtering for Nonlinear Stochastic Systems with Sensor Saturation, Quantization and Random Packet Losses,” Signal Processing, Vol. 92, No. 6, 2012, pp. 1387-1396.
http://dx.doi.org/10.1016/j.sigpro.2011.11.019

[9]   H. Dong, J Lam and H. J. Gao, “Distributed Filtering for Repeated Scalar Nonlinear Systems with Random Packet Losses in Sensor Networks,” International Journal of Systems Science, Vol. 42, No. 9, 2011, pp. 15071519. http://dx.doi.org/10.1080/00207721.2010.550403

[10]   M. Liu, P. Shi, L. Zhang and X. Zhao, “Fault-Tolerant Control for Nonlinear Markovian Jump Systems via Proportional and Derivative Sliding,” IEEE Transactions on Circuits And Systems—I, Vol. 58, No. 11, 2011, pp. 2755-2764.

[11]   J. Li, Q. L. Zhang, H. B. Yu, et al., “Real-Time Guaranteed Cost Control of Mimo Networked Control Systems with Packet Disordering,” Journal of Process Control, Vol. 21, No. 6, 2011, pp. 967-975.

[12]   J. Li, H. B. Yu, D. Yuan, et al., “Co-Design of Networks and Control Systems with Synthesized Controller,” International Journal of Information and Systems Sciences, Vol. 7, No. 1, 2011, pp. 131-140.

[13]   G. R. Duan, “Analysis and Design of Descriptor Linear Systems,” Springer, Berlin, 2010.

[14]   Z. Z. Qiu, Q. L. Zhang and Z. W. Zhao, “Stability of Singular Networked Control Systems with Control Constraint,” Journal of Systems Engineering and Electronics, Vol. 18, No. 2, 2007, pp. 290-296.
http://dx.doi.org/10.1016/S1004-4132(07)60089-9

[15]   Z. Z. Qiu, Q. L. Zhang and G. Y. Li, “Output Feedback Control Networked Control Systems Based on Singular Controlled Plant,” IEEE Proceedings of the 7th World Congress on Intelligent Control and Automation, Chongqing, 25-27 June 2008, pp. 5463-5466.

[16]   Z. Z. Qiu and Q. L. Zhang, “Exponential Stability for Singular Networked Control Systems with Packet Dropout,” Control and Decision, Vol. 24, No. 6, 2009, pp. 837-842.

[17]   Z. P. Du, Q. L. Zhang and L. L. Liu, “Stability Analysis for Singular Networked Control Systems with Time Varying Delays,” Journal of Northeastern University (Natural Science), Vol. 32, No. 8, 2011, pp. 1065-1067.

[18]   Y. F. Wang, Y. W. Jing, S. I. Zhang, et al., “Robust Control for a Kind of Singular Networked Control System with Short Time Delay,” Journal of Northeastern University, Vol. 32, No. 5, 2011, pp. 609613.

[19]   L. Xi and C. E. de Souza, “Delay-Dependent Robust Stability and Stabilization of Uncertain Linear Delay Systems: A Linear Matrix Inequality Approach,” IEEE Trans on Automatic Control, Vol. 42, No. 8, 1997, pp. 11441148. http://dx.doi.org/10.1109/9.618244

 
 
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