Title: An iterative LMI approach to H_∞ networked control with random communication delays

Authors: Fuwen Yang, Wu Wang, Yongmin Li

Addresses: School of Information Science and Engineering, East China University of Science and Technology, Shanghai 200237, PR China; Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK. ' School of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350108, PR China. ' Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK

Abstract: In this paper, an iterative LMI approach is proposed to deal with the control problem for Networked Control Systems (NCSs) with random communication delays. Both random measurement and control delays are simultaneously considered due to limited communication capacity. The NCSs with both measurement and control delays are modelled as a stochastic parameter system which contains two independent Bernoulli distributed white sequence. A dynamic output controller is designed to exponentially stabilise the networked system in the sense of mean square, and also achieve the prescribed H_∞ disturbance attenuation level. An iterative algorithm is developed to compute the optimal H_∞ disturbance attenuation and the controller parameters. An illustrative example is provided to show the applicability of the proposed method.

Keywords: NCS; networked control systems; random communication delay; stochastic parameter systems; H_∞ control; iterative LMI approach.

DOI: 10.1504/IJSCC.2009.024559

International Journal of Systems, Control and Communications, 2009 Vol.1 No.3, pp.325 - 341

Published online: 09 Apr 2009 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article