Abstract

The present work proposes new approaches to design a state and output feedback regulators by using orthogonal functions. Both single and multiple input/output linear dynamical systems are considered. The proposed techniques use the projection of the original system into an orthogonal functions basis. The useful properties of the orthogonal functions basis such as operational matrices combined to the Kronecker product transform the differential equations on algebraic ones depending only on the parameters of the feedback regulator. The feedback allows to shape a dynamic behavior of the original system that is very close to a chosen reference model.

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