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On designing memory state feedback controller for linear systems with interval time-varying delay

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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 delay-range-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.

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Authors and Affiliations

  1. 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

    Xiangpeng Xie & Huaguang Zhang

  2. Northeast Regional Air Traffic Management Bureau, Civil Aviation Administration of China, Shenyang Liaoning, 110169, China

    Xiangpeng Xie & Tao Liu

Authors
  1. Xiangpeng Xie
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  2. Huaguang Zhang
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  3. Tao Liu
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Corresponding author

Correspondence to Xiangpeng Xie.

Additional information

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).

Xiangpeng XIE is a Ph.D. candidate at the College of Information Science and Engineering, Northeastern University. His research interests include fuzzy control and stochastic control. Corresponding author of this paper.

Huaguang ZHANG is a professor at the School of Information Science and Engineering, Northeastern University, Shenyang Liaoning, China. His current research interests cover fuzzy control, chaos system, and neural network. He also serves as associate editors for Automatica, IEEE Transactions on Fuzzy Systems, SMC-B, and Control Theory & Applications

Tao LIU is an engineer of Technology Security Center in the Northeast Regional Air Traffic Management Bureau, Civil Aviation Administration of China. His research interests include intelligent control and time-delay systems.

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Xie, X., Zhang, H. & Liu, T. On designing memory state feedback controller for linear systems with interval time-varying delay. J. Control Theory Appl. 8, 479–484 (2010). https://doi.org/10.1007/s11768-010-8183-2

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  • DOI: https://doi.org/10.1007/s11768-010-8183-2

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