A new approach to multi-objective control design from the viewpoint of the inverse optimal control problem

Abstract

This paper introduces the Cross Standard Form (CSF) as a solution to the generalized inverse optimal control problem. The CSF is a canonical augmented standard plant whose H1 or H2 optimal controller is a given controller. The definition of the CSF relies on the possibility to construct minimal observer-based realization of a given controller for a given model. From the multi-objective or robust control point of view, the general idea is to apply the CSF to a first controller satisfying nominal performances in order to initialize an H1 design procedure to handle frequency-domain constraints or robustness specifications.