Forme standard de passage: une alternative à la synthèse multi-objectifs

Abstract

This chapter presents a generalization of the Cross Standard Form (CSF) for a given plant and a given controller of arbitrary order (even, a two-degree of freedom compensator). The CSF is a canonical augmented standard plant whose H∞ or H2 unique optimal controller is a given controller, that is a solution to the general inverse optimal control problem. From the control design point of view, the general idea is to apply the CSF to a first controller in order to initialize an H∞ design procedure to handle complementary frequency-domain constraints or robustness specifications. An academic example and an industrial application in the field of aeronautics engineering are given.