Optimal filtering for linear systems with state and multiple observation delays

  • Authors:
  • M. Basin;M. A. Alcorta-Garcia;A. Alanis-Duran

  • Affiliations:
  • Department of Physical and Mathematical Sciences, Autonomous University of Nuevo Leon, Nuevo Leon, Mexico;Department of Physical and Mathematical Sciences, Autonomous University of Nuevo Leon, Nuevo Leon, Mexico;Department of Physical and Mathematical Sciences, Autonomous University of Nuevo Leon, Nuevo Leon, Mexico

  • Venue:
  • International Journal of Systems Science
  • Year:
  • 2008

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Abstract

This article solves the optimal filtering problem for linear systems with state and multiple observation delays. The optimal estimate equation similar to the traditional Kalman-Bucy one is derived, and the system of equations for determining the filter gain matrix consists of an infinite set of equations. It is then demonstrated that a finite set of the filtering equations can be obtained in case of commensurable delays. In the example, the designed optimal filter is compared to the traditional Kalman-Bucy filter.