Accession Number : AD0715242

Title :   Die Beobachtbarkeit von Entkoppelten Zeitvariablen Mehrgroessensystemen. Die Phasenvariable Kanonische Form fuer Zeitvariable Mehrgroessensysteme (Observability of Decoupled Time-Varying Multivariable Systems. Phase Variable Canonical Form for Time-Varying Multivariable Systems),

Corporate Author : DEUTSCHE FORSCHUNGS- UND VERSUCHSANSTALT FUER LUFT- UND RAUMFAHRT E V OBERPFAFFENHOFEN (WEST GERMANY)

Personal Author(s) : Freund,E.

Report Date : 1970

Pagination or Media Count : 5

Abstract : The decoupling of a time-varying multivariable system by state-variable feedback does not guarantee the observability of the decoupled system. In the letter, a necessary and sufficient condition is derived for the observability of these systems in the time-variable case. For time-varying multivariable systems, a phase-variable canonical form is presented. In comparison with the form of Luenberger (for time-invariant systems), the present form is simpler in its structure and requires less computational effort for its determination. This simplification is due to a suitable choice of the order of the subsystems in the phase-variable form. This choice permits a useful subdivision of the control-lability matrix, which serves as the transformation matrix. In this way it is possible to compute directly the coefficients of the phase-variable form using matrices only the order of the subsystem. (Author)

Descriptors :   (*CONTROL SYSTEMS, MATHEMATICAL MODELS), MATRICES(MATHEMATICS), OPERATORS(MATHEMATICS), TRANSFORMATIONS(MATHEMATICS), WEST GERMANY

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE