Observer Design With Better Delay Margin for Linear Time-Delay Systems

Observer Design With Better Delay Margin for Linear Time-Delay Systems

In this paper a H-inf type observer is proposed for linear time delay systems with delay in states. The stability of the observer is proved by Lyapunov approach. The novelty of the study is to include the state derivatives in the design.As a result, better delay margin and relaibility is obtained.Two numerical examples have been illustreted to Show the validity and effectiveness of this prescribed approach and a comparison table shows the achievement  of better delay margin in comparison with corresponding Luenberger type observer.

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  • Oliver Sename, “New trends in design of observers for timedelay systems”, Kybernetika, Vol 37 no. 4(2001) 427-458.
  • Zidong Wang, Biao Huang, H. Unbehauaen,”Robust H observer design of linear time-delay systems with parametric uncertainty”,Systems & Control Letters 42 (2001)
  • A.Fattouh, O.Sename, J.M. Dion,”H observer design for time-delay systems”,in proc 37th IEEE Confer. on Decision & Control (Tampa,Florida,USA),(1998) 4545-4546. [4] M. Boutayeb, “Obsevers design for linear time-delay systems”, Systems & Control Letters 44 (2001) 103-109.
  • Yan-Ming, Fu, Guang-Ren Duan, Shen-Min Song, “Design of Unknown Input Observer for Linear Time-delay Systems”, International Journal of Control, Automation and Systems,vol.2 no.4 (2004) 530-535.
  • Md. Aminul Haq, Ibrahim Beklan Kucukdemiral, “H observer design for linear time-delay systems”, Int. Conference on Electrical and Electronics Engineering, ELECO 2015.
  • Fatma Yildiz Tascikaraoglu, Levent Ucun, Ibrahim B Kucukdemiral,”Receding horizon H control of time delay systems”,Transaction of the institute of measurement and Control (2014) 1-10.
  • M.N. Alpaslan Parklakci,”Robust delay-free observer-based controller design for uncertain neutral time delay”, Systems, Systems Science (2006).
  • M.N. Alpaslan Parklakci,”Robust delay-free observer-based controller design for uncertain neutral time delay”, Systems, Systems Science (2006).
  • Mai Viet Thuan, Vu Ngoc Phat, Hieu Trinh,”Observerbased controller design of time-delay systems with an interval time-varying delay”, Int. J. Appl. Math. Comput. Sci., 2012, Vol. 22, No. 4, 921–927.
  • Cao, Y.-Y., Sun, Y.-X., & Lam, J. ,”Delay dependent robust control for uncertain systems with time varying delays”, IEE Proceedings: Control Theory and Applications, (1998). 143, 338–344.
  • Vladimir B. Kolmanovskii , “On the Liapunov-Krasovskii functionals for stability analysis of linear delay systems”, International Journal of Control,(1999) 72:4, 374-384.
  • Ping Li,James Lam,”Positive state-bounding observer for positive interval continuous-time systems with time delay”, Int. J. Robust. Nonlinear Control 2012; 22:1244–1257.
  • Jean-Pierre Richard, “Time-delay systems: an overview of some recent advances and open problems”, Automatica 39 (2003) 1667-1694.
  • Sheng yuan Xu & James Lam, “A survey of linear matrix inequality techniques in stability analysis of delay systems”, International Journal of Systems Science, (2008), 39:12,1095-1113.