Journal of Systems Engineering and Electronics ›› 2011, Vol. 22 ›› Issue (4): 661-671.doi: 10.3969/j.issn.1004-4132.2011.04.016

• CONTROL THEORY AND APPLICATION • Previous Articles     Next Articles

Guaranteed cost control for discrete-time networked control systems with random Markov delays

Li Qiu1,2, Bugong Xu1, and Shanbin Li1,*   

  1. 1. School of Automation Science and Engineering, South China University of Technology, Guangzhou 510640, P. R. China;
    2. College of Mechatroincs and Control Engineering, Shenzhen University, Shenzhen 518060, P. R. China
  • Online:2011-08-24 Published:2010-01-03

Abstract:

The guaranteed cost control for a class of uncertain discrete-time networked control systems with random delays is addressed. The sensor-to-controller (S-C) and contraller-to-actuator (C-A) random network-induced delays are modeled as two Markov chains. The focus is on the design of a two-mode-dependent guaranteed cost controller, which depends on both the current S-C delay and the most recently available C-A delay. The resulting closed-loop systems are special jump linear systems. Sufficient conditions for existence of guaranteed cost controller and an upper bound of cost function are established based on stochastic Lyapunov-Krasovakii functions and linear matrix inequality (LMI) approach. A simulation example illustrates the effectiveness of the proposed method.