Nonlinear H∞ control: a J-dissipative approach

This paper applies the chain-scattering approach for linear H_∞ control to input affine nonlinear plants with general output structure. The nonlinear H_∞-control problem is reformulated in terms of the chain representation of a given plant. The state-space characterization of J-dissipative (J-lossless) systems together with two special types of coprime factorizations are used to provide a class of controllers which solve locally the H_∞-control problem. The problems considered correspond to the general two- and four-block problems in the linear case. The results are given in terms of two uncoupled nonlinear partial differential inequalities with a coupling condition on their solutions