Robust disturbance rejection with simultaneous robust input-output decoupling

Abstract

The problem of robust disturbance rejection with simultaneous robust input-output decoupling of linear systems with nonlinear uncertain structure is solved. The controller is static and independent of the uncertainties. The necessary and sufficient conditions for the problem to have a solution via state feedback are established. The general analytical expressions of the feedback matrices and the decoupled closed-loop system are derived. The closed-loop system structural properties of pole assignment and stabilizability are studied. (C) 1997 Elsevier Science Ltd.