On the geometric structures of the H-infinity controllers for descriptor systems

Abstract

In this paper, we explore the geometric structures of the central controllers for descriptor systems based on the notions of deflating subspaces for singular matrix pencil. A reduced order controller is given based on the geometric structures addressed in this paper. The geometric connection between the plant and the controllers is then studied. A numerical example is provided. In terms of the notions of deflating subspaces, all the results and proofs given are clear and simple.