Journal of Systems Engineering and Electronics ›› 2008, Vol. 19 ›› Issue (6): 1185-1190.

• CONTROL THEORY AND APPLICATION • Previous Articles     Next Articles

Graphic theory on interval stability of networked control systems

Li Jinna1,2 & Zhang Qingling1   

  1. 1. Inst. of Systems Science, Northeastern Univ., Shenyang 110004, P. R. China;
    2. Dept. of Mathematics and Physics, Shenyang Inst. of Chemical Technology, Shenyang 110142, P. R. China
  • Online:2008-12-23 Published:2010-01-03

Abstract:

A new method on the interval stability of networked control systems (NCSs) with random delay and data packet dropout is studied. Combining interval systems and NCSs, a graphic condition on judging interval stability is presented in terms of the weighted diagraph theory in graph theory. Furthermore, utilizing the graph-theoretic algorithm, the delay-depended controller gains are obtained. Aiming at the same delay and data packed dropout, several controller gains are obtained, simultaneously. The example and simulation illustrate the effectiveness of the proposed method.