A Robust Control Approach to Network Control Systems with Short Time Delays

Article Preview

Abstract:

Network control system (NCS) is developed from the cross-integration of network technology and control technology, which is with advantages of sharing resources, low price, light weight, easy installation and maintenance, low energy consumption and so on. A robust control approach is proposed in this paper to solve the stabilization problem for networked control systems (NCS) with short time-varying delays. By considering state feedback controllers, the closed-loop NCS is described as a discrete-time linear uncertain system model. Then, the asymptotic stability condition for the obtained closed-loop NCS is derived, which establishes the quantitative relation between the stability of the closed-loop NCS and two delay parameters, namely, the allowable delay upper bound (ADB) and the allowable delay variation range (ADVR). Furthermore, design procedures for the stabilizing controllers are also presented. An illustrative example is finally given to demonstrate the effectiveness of the proposed method.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

849-859

Citation:

Online since:

September 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] G. C. Walsh, H. Ye, L. Bushnell. Stability analysis of networked control systems [J], IEEE Trans. Control Syst. Technol, 2002, 10 (3): 438-446.

DOI: 10.1109/87.998034

Google Scholar

[2] G. C. Walsh, H. Ye, and L. Bushnell. Stability analysis of networked control systems [C], Proceedings of American Control Conference, San Diego, CA, USA, 1999, Vo1. 4: 2876-2880.

Google Scholar

[3] Luck R, Ray A. An observer-based compensator for distributed delays [J]. Automation, 1990, 26(5): 903-908.

DOI: 10.1016/0005-1098(90)90007-5

Google Scholar

[4] Nilsson J. Real-time Control System with Delays [Ph.D. dissertation] [J], Department of Automatic Control, Lund Institute of Technology, Sweden, (1998).

Google Scholar

[5] Hu S S, Zhu Q X. Stochastic optimal control and analysis of stability of networked control systems with long delay [J]. Automatic, 2003, 39(11): 1877-1884.

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

Google Scholar

[6] Liu G P, Mu J X, Rees D, Chai S C. Design and stability analysis of networked controlsystems with random communication time delay using the modified MPC [J]. International Journal of Control, 2006, 79(4): 288-297.

DOI: 10.1080/00207170500533288

Google Scholar

[7] Tang P L, de Silva C W. Compensation for transmission delays in an ethernet-based control network using variable horizon predictive control [J]. IEEE Transactions on Control Systems Technology, 2006, 14(4): 707-718.

DOI: 10.1109/tcst.2006.876640

Google Scholar

[8] Kim D S, Lee Y S, Kwon W H, Park H S. Maximum allowable delay bounds of networked control systems [J]. Control Engineering Practice, 2003, 11(11): 1301-1313.

DOI: 10.1016/s0967-0661(02)00238-1

Google Scholar

[9] Peng C, Tian Y C, Tade M O. State feedback controller design of networked control systems with interval time-varying delay and nonlinearity[J]. International Journal of Robust and Nonlinear Control, 2007, 18(12): 1285-1301.

DOI: 10.1002/rnc.1278

Google Scholar

[10] Gao H J, Chen T W, Lam J. A new delay system approach to network-based control [J]. Automatica, 2008, 44(1): 39-52.

DOI: 10.1016/j.automatica.2007.04.020

Google Scholar

[11] Yue D, Han Q L, Peng C. State feedback controller design of networked control systems[J]. IEEE Transactions on Circuits and Systems II: Express Briefs, 2004, 51(11): 640-644.

DOI: 10.1109/tcsii.2004.836043

Google Scholar

[12] Hu L S, Bai T, Shi P, Wu Z M. Sampled-data control of networked linear control systems. Automatica, 2007, 43(5): 903-911.

DOI: 10.1016/j.automatica.2006.11.015

Google Scholar

[13] Lin H, Antsaklis P J. Stability and persistent disturbance attenuation properties for a class of networked control systems: switched system approach [J]. International Journal of Control, 2005, 78(18): 1447-1458.

DOI: 10.1080/00207170500329182

Google Scholar

[14] Garcia-Rivera M, Barreiro A. Analysis of networked control systems with drops and variable delays. Automatica, 2007, 43(12): 2054-(2059).

DOI: 10.1016/j.automatica.2007.03.027

Google Scholar

[15] Pan Y J, Marquez H J, Chen T. Stabilization of remote control systems with unknown time varying delays [J]. International Journal of Control, 2006, 79(7): 752-763.

DOI: 10.1080/00207170600654554

Google Scholar

[16] Xie L H. Output feedback control of systems with parameter uncertainty [J]. International Journal of control, 1996, 63 (4): 741-750.

DOI: 10.1080/00207179608921866

Google Scholar