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Journal of Systems Science and Complexity

, Volume 27, Issue 3, pp 453–462 | Cite as

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

  • Lin ChaiEmail author
  • Chunjiang Qian
Article
  • 180 Downloads

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.

Keywords

Dynamic linear controller global stabilization nonlinear time-delay systems state feedback control 

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Copyright information

© Institute of Systems Science, Academy of Mathematics and Systems Science, CAS and Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.School of AutomationSoutheast UniversityNanjingChina
  2. 2.Key Laboratory of Measurement and Control of Complex Systems of EngineeringSoutheast UniversityNanjingChina
  3. 3.Department of Electrical and Computer EngineeringUniversity of Texas at San AntonioSan AntonioUSA

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