Pole placement through the modalator approach†

Abstract
This paper presents the derivation of the modalator that is defined as the ( n— m) th dynamic system that performs the modal analysis of the elosed-loop system operating under a state feedback control law Specifically, it is shown that when a system is operating under a state feedback control one. can derive an ( n— ) th order; dynamic system— termed a modalator— that has properties similar to the Lucnberger observer with the exception that it does not require knowledge of the output This independence of the dynamic behaviour from the output is due to the eigenvector subspace in which this dynamic behaviour evolves

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