H-infinity control for nonlinear affine systems: a chain-scattering matrix description approach

Abstract

This paper combines an alternative chain-scattering matrix description with (J, J')-lossless and a class of conjugate (- J, - J')-lossless systems to design a family of nonlinear H-infinity output feedback controllers. The present systems introduce a new chain-scattering setting, which not only offers a clearer expression for the solving process of the nonlinear H-infinity control problem but also removes the fictitious signals introduced by the traditional chain-scattering approach. The intricate nonlinear affine control problem thus can be transformed into a simple lossless network and is easy to deal with in a network-theory context. The relationship among these (J, J') systems, L-2-gain, and Hamilton-Jacobi equations is also given. Block diagrams are used to illustrate the central theme. Copyright (C) 2001 John Wiley & Sons, Ltd.