International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2569

Full Length Research Paper

Observer design for rectangular discrete-time singular systems with time-varying delay

Yaning Lin    
College of Science, Shandong University of Technology, Zibo, 255049, People's Republic of China.
Email: [email protected]

  •  Accepted: 13 December 2011
  •  Published: 16 January 2012


In this paper, observer design problem for rectangular discrete-time singular systems with time-varying delay is discussed. Based on restricted system equivalent (RSE) transformations and by introducing new state vectors, the problem is transformed into observer design problem for time-varying delay discrete-time standard state-space systems. By Lyapunov function method and linear matrix inequality (LMI) technique, the delay-dependent sufficient condition that there exists a state observer is established. The design method of matrix  is discussed and the coefficient matrices of function observer are given. Finally, a numerical example is given showing the effectiveness of the method given in the paper.


Key words: Rectangular discrete-time singular systems, time-varying delay, observer design, linear matrix inequality (LMI), delay-dependent.