A Model Matching Solution of Robust Observer Design for Time-Delay Systems

  • Anas Fattouh
  • Olivier Sename
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 38)


Uncertainties arc unavoidable in practical situations and they have to be taken into consideration in control system design. In this chapter, a method for designing a robust observer for linear time-delay systems is proposed. Under the assumption that the considered time-delay system is spectrally controllable and spectrally observable, a double Bézout factorization of its nominal transfer matrix is obtained. Next, based on this factorization, all stable observers for the nominal system are parameterized. By applying those observers on the real system, the parameterization transfer matrix has to be found such that the error between the real estimation and the nominal one is minimized. This problem is rewritten as an infinite dimensional model matching problem for different types of uncertainty. In order to solve this infinite dimensional model matching problem, it is transformed into a finite dimensional one, and therefore a suboptimal solution can be obtained using existing algorithms.


Transfer Matrix Real Estimation Suboptimal Solution Stable Polynomial Unknown Input Observer 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Anas Fattouh
    • 1
  • Olivier Sename
    • 2
  1. 1.Automatic Laboratory of Aleppo, Faculty of Electrical and Electronic EngineeringUniversity of AleppoAleppoSyria
  2. 2.LAG, ENSIEG-BP 46Saint Manin d’Hères CedexFrance

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