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On designing memory state feedback controller for linear systems with interval time-varying delay
Received:2008/10/21  Revised:2009/5/3
Keywords:Delay-range-dependent  Interval time-varying delay  Linear matrix inequalities (LMIs)  Relaxed stabilization conditions
Fund Project:This work was supported by the 111 Project (No.B08015), the National Natural Science Foundation of China (No.60534010, 60572070, 60774048, 60728307), and the Program for Changjiang Scholars and Innovative Research Groups of China (No.60521003).
AuthorInstitutionE-mail
Xiangpeng XIE Key Laboratory of Integrated Automation for the Process Industry, Ministry of Education, and School of Information Science and Engineering, Northeastern University, Shenyang Liaoning 110004, China; Northeast Regional Air Traffic Management Bureau, Civil Aviation Administration of China, Shenyang Liaoning 110169, China xiexiangpeng1953@163.com 
Huaguang ZHANG Key Laboratory of Integrated Automation for the Process Industry, Ministry of Education, and School of Information Science and Engineering, Northeastern University, Shenyang Liaoning 110004, China  
Tao LIU Northeast Regional Air Traffic Management Bureau, Civil Aviation Administration of China, Shenyang Liaoning 110169, China  
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Abstract:
      This paper is concerned with the design of a memory state feedback controller for linear systems with interval time-varying delays. The time delay is assumed to be a time-varying continuous function belonging to a given interval, which means that the lower and upper bounds of time-varying delay are available. First, a less conservative delayrange-dependent stability criteria is proposed by using a new interval fraction method. In the process of controller synthesis, the history information of system is considered in the controller design by introducing the lower delay state. Moreover, the usual memoryless state feedback controller for the underlying systems could be considered as a special case of the memory case. Finally, two numerical examples are given to show the effectiveness of the proposed method.
Xiangpeng XIE,Huaguang ZHANG and Tao LIU.On designing memory state feedback controller for linear systems with interval time-varying delay[J].Journal of Control Theory and Applications,2010,8(4):479~484.
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