On singular nonlinear H-infinity control: A state-space approach

Abstract

A simple state-space approach for the four-block singular nonlinear H infinity control problem is proposed in this paper. This approach combines a (J, J')-lossless and a class of conjugate (J, J')-expansive systems to yield a family of nonlinear H infinity output feedback controllers. The singular nonlinear H infinity control problem is thus transformed into a simple lossless network problem that is easy to deal with in a network-theory context.