New sufficient conditions for observer-based control of fractional-order uncertain systems

• Salim Ibrir ^[1] ; Maamar Bettayeb ^[2]
  1. [1] King Fahd University of Petroleum and Minerals.Dhahran, Saudi Arabia
  2. [2] University of Sharjah.United Arab Emirates
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 59, 2015, págs. 216-223
• Idioma: inglés
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• Resumen

  • New simple linear matrix inequalities are proposed to ensure the stability of a class of uncertain fractional-order linear systems by means of a fractional-order deterministic observer. It is shown that the conditions of existence of an observer-based feedback can be split into a set of linear matrix inequalities that are numerically tractable. The presented results show that it is possible to decouple the conditions containing the bilinear variables into separate conditions without imposing equality constraints or considering an iterative search of the controller and the observer gains. Simulations results are given to approve the efficiency and the straightforwardness of the proposed design.