Journal of Optimization Theory and Applications

, Volume 128, Issue 1, pp 103–117

LMI Optimization Approach to Observer-Based Controller Design of Uncertain Time-Delay Systems via Delayed Feedback

  • O. M. Kwon
  • J. H. Park
  • S. M. Lee
  • S. C. Won

DOI: 10.1007/s10957-005-7560-3

Cite this article as:
Kwon, O.M., Park, J.H., Lee, S.M. et al. J Optim Theory Appl (2006) 128: 103. doi:10.1007/s10957-005-7560-3


In this paper, we propose a design method of an observer-based controller for uncertain time-delay systems by delayed feedback. Based on the Lyapunov method, an LMI (linear matrix inequality) criterion is derived to design an observer-based controller which makes the system stable. A numerical example is included to illustrate the design procedure.


LMI optimizationtime-delay systemsobserver-based controldelayed feedback

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • O. M. Kwon
    • 1
  • J. H. Park
    • 2
  • S. M. Lee
    • 3
  • S. C. Won
    • 4
  1. 1.Department of Intelligent Control ResearchMechatronics Center, Samsung Heavy IndustriesDaejeonRepublic of Korea
  2. 2.Department of Electrical EngineeringYeungnam UniversityKyongsanRepublic of Korea
  3. 3.Department of Electrical and Electronic EngineeringPOSTECHPohangRepublic of Korea
  4. 4.Department of Electrical and Electronic EngineeringPOSTECHPohangRepublic of Korea