Journal of Systems Engineering and Electronics ›› 2009, Vol. 20 ›› Issue (1): 159-167.

• CONTROL THEORY AND APPLICATION • Previous Articles     Next Articles

Adaptive control for a class of discrete-time time-delay systems with regard to delay parameter

Chai Lin1,2, Cheng Ming2, Fei Shumin1 & Zhai Junyong1   

  1. 1. Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education,
    School of Automation, Southeast Univ., Nanjing 210096, P. R. China;
    2. School of electrics, Southeast Univ., Nanjing 210096, P. R. China
  • Online:2009-02-18 Published:2010-01-03


The memory state feedback control problem for a class of discrete-time systems with input delay and unknown state delay is addressed based on LMIs and Lyapunov-Krasovskii functional method. Under the action of our designed adaptive control law, the unknown time-delay parameter is included in memory state feedback controller. Using LMI technique, delay-dependent sufficient conditions for the existence of the feedback controller are obtained. Finally, the effectiveness of the proposed design method is demonstrated by a numerical example.