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State feedback stabilization for a class of nonlinear time-delay systems via dynamic linear controllers

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Abstract

The dynamic linear state feedback control problem is addressed for a class of nonlinear systems subject to time-delay. First, using the dynamic change of coordinates, the problem of global state feedback stabilization is solved for a class of time-delay systems under a type of nonhomogeneous growth conditions. With the aid of an appropriate Lyapunov-Krasovskii functional and the adaptive strategy used in coordinates, the closed-loop system can be globally asymptotically stabilized by the dynamic linear state feedback controller. The growth condition in perturbations are more general than that in the existing results. The correctness of the theoretical results are illustrated with an academic simulation example.

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Authors and Affiliations

  1. School of Automation, Southeast University, Nanjing, 210096, China

    Lin Chai

  2. Key Laboratory of Measurement and Control of Complex Systems of Engineering, Southeast University, Nanjing, 210096, China

    Lin Chai

  3. Department of Electrical and Computer Engineering, University of Texas at San Antonio, San Antonio, TX, 78249, USA

    Chunjiang Qian

Authors
  1. Lin Chai
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  2. Chunjiang Qian
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Corresponding author

Correspondence to Lin Chai.

Additional information

This research is supported by US National Science Foundation under Grant No. HRD-0932339, the National Natural Science Foundation of China under Grant Nos. 61374038, 61374050, 61273119, 61174076, the Natural Science Foundation of Jiangsu Province of China under Grant No. BK2011253, and Research Fund for the Doctoral Program of Higher Education of China under Grant No. 20110092110021.

This paper was recommended for publication by Editor HONG Yiguang.

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Chai, L., Qian, C. State feedback stabilization for a class of nonlinear time-delay systems via dynamic linear controllers. J Syst Sci Complex 27, 453–462 (2014). https://doi.org/10.1007/s11424-014-3007-y

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  • DOI: https://doi.org/10.1007/s11424-014-3007-y

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