Conditions of exact tracking by the linear system output of the standard model of a reduced order

  • Authors:

  • A. M. Bronnikov;V. N. Bukov

  • Affiliations:

  • Zhukovskii Air-Force Engineering Academy, Moscow, Russia;Scientific-Research Institute of Aviation Equipment, Zhukovskii, Russia

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2008

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Abstract

A problem is considered for an exact tracking by the output of a linear stationary system presented in the space of states of the standard model of a reduced order in comparison with the dimension of the system state vector. A minimum possible order of the standard model is defined, at which it is possible to perform the exact tracking of it by the output, conditions are defined of the exact tracking by the output of the standard model of a reduced order, and also a set of the control laws that ensure the exact tracking and the internal stability of the system. The solution relies on the method of canonization of matrices. A methodical example is given.