Observability conservation by output feedback and observability Gramian bounds

• Liangquan Zhang ^[1] ; Qinghua Zhang ^[1]
  1. [1] Inria Rennes - Bretagne Atlantique Research Centre

     Inria Rennes - Bretagne Atlantique Research Centre

     Arrondissement de Rennes, Francia

     
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 60, 2015, págs. 38-42
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • Though it is a trivial fact that the observability of a linear state space system is conserved by output feedback, it requires a rigorous proof to generalize this result to uniform complete observability, which is defined with the observability Gramian. The purpose of this paper is to present such a proof. Some issues in existing results are also discussed. The uniform complete observability of closed loop systems is useful for the analysis of some adaptive systems and of the Kalman filter.