Journal of Systems Engineering and Electronics ›› 2011, Vol. 22 ›› Issue (2): 306-313.doi: 10.3969/j.issn.1004-4132.2011.02.018

• MILITARY SYSTEMS ANALYSIS • Previous Articles     Next Articles

State feedback control of network-based systems with
packet disordering

Jinna Li1,2,*, Shiqian Han1, Meng Zheng2, Haibin Yu2, and Qingling Zhang3   

  1. 1. Department of Science, Shenyang University of Chemical Technology, Shenyang 110142, P. R. China;
    2. Key Lab of Industrial Informatics, Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 11016, P. R. China;
    3. Institute of Systems Science, Northeastern University, Shenyang 110004, P. R. China
  • Online:2011-04-19 Published:2010-01-03

Abstract:

A new method that stabilizes network-based systems
with both bounded delay and packet disordering is discussed under
the state feedback controller. A novel model, fully describing
the dynamic characteristic of network-based systems with packet
disordering, is constructed. Different from the existing models of
network-based systems, the number of delay items is time-varying
in the model proposed. Further, this model is converted into a
parameter-uncertain discrete-time system with time-varying delay
item numbers in terms of matrix theory. Moreover, the less
conservative stability condition is obtained by avoiding utilisation
of Moon et al.’ inequality and bounding inequalities for quadratic
functional terms. By solving a minization problem based on linear
matrix inequalities, the state feedback controller is presented. A
numerical example is given to illustrate the effectiveness of the
proposed method.