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Citation: Chai Lin ,Fei Shumin .A New Type of Adaptive Control to Distributed Time-delay Constant for Distributed Time-delay Systems[OL]. [27 October 2006] http://en.paper.edu.cn/en_releasepaper/content/9048
This paper is concerned with the problem of stabilization for distributed delay systems. 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 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). A numerical example is given to illustrate the effectiveness of the design method.
Keywords:distributed delay, adaptive control, memory PI feedback,linear matrix inequalities (LMI)