The purpose of this work is to propose and characterize fractional descriptor reduced-order perfect nonlinear observers for a class of fractional descriptor discrete-time nonlinear systems. Sufficient conditions for the existence of these observers are established. The design procedure of the observers is given and demonstrated on a numerical example.
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The problem of the design of a perfect reduced-order unknown-input observer for standard systems is formulated and solved. The procedure of designing the observer using well-known canonical form is proposed and illustrated with a numerical example. Necessary and sufficient conditions for the solvability of the procedure are given.
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New concept of perfect full-order and reduced-order observers for linear standard continuous-time systems are presented. Necessary and sufficient conditions for the existence of the perfect observers are established. Procedures for designing of the perfect observers are derived and illustrated by numerical examples.
A new concept of the full order perfect observer for continuous-time linear systems is presented. Conditions for the existence of the perfect observer are established and its design procedure is derived.
PL
Podano nową koncepcję obserwatorów doskonałych pełnego rzędu dla ciągłych układów liniowych. Sformułowano warunki dostateczne istnienia obserwatorów doskonałych oraz podano procedurę wyznaczania tych obserwatorów.
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A new concept of the perfect singular observer for singular 2D systems is proposed. Sufficient conditions are established for the existence of the perfect observer for singular 2D linear systems. A procedure for design of the perfect obeservers is also derived.
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A new concept of the full-order perfect observer for continuous-time linear systems is presented. Conditions for the existence of the perfect observer are established and its design procedure is derived.
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