Journal of Systems Engineering and Electronics ›› 2010, Vol. 21 ›› Issue (6): 1054-1062.doi: 10.3969/j.issn.1004-4132.2010.06.019

• CONTROL THEORY AND APPLICATION • Previous Articles     Next Articles

New type of adaptive control for a class of distributed time-delay systems with adaptation regard to delay parameter

Lin Chai1, 2,*, Shumin Fei1, 2, Haiyan Jin1, 2, Ruimin Wang1, 2, and Yanhong Li1   

  1. 1. Key Laboratory of Measurement and Control of Complex Systems of Engineering,
        Southeast University, Nanjing 210096, P. R. China;
    2. School of Automation, Southeast University, Nanjing 210096, P. R. China
  • Online:2010-12-20 Published:2010-01-03


The problem on stabilization for the system with distributed delays is researched. The distributed time-delay under consideration is assumed to be a constant time-delay, but not known exactly. A design method is proposed for a memory proportional and integral (PI) feedback controller with adaptation to distributed time-delay. The feedback controller with memory simultaneously contains the current state and the past distributed
information of the addressed systems. The design for adaptation law to distributed delay is very concise. The controller can be derived by solving a set of linear matrix inequalities (LMIs). Two numerical examples are given to illustrate the effectiveness of the design method.

Key words: distributed delay, linear matrix inequality (LMI), adaptive control, time-delay systems, memory PI feedback