Global robust disturbance attenuation and almost disturbance decoupling for uncertain cascaded nonlinear systems

This paper studies the problem of global robust H-infinity disturbance atte nuation for a class of non-minimum-phase nonlinear systems subject to param eter uncertainty. The problem addressed is the design of a state feedback c ontroller such that the closed-loop system is input-to-state stable and the L-2-gain from the disturbance input to the controlled output is not larger than a prescribed value for all admissible parameter uncertainties. A recu rsive Lyapunov-based design approach is developed to construct the controll er explicitly. The problem of global robust H-infinity almost disturbance d ecoupling, where the level of disturbance attenuation can be made arbitrari ly small for all allowed uncertainties, is also addressed. (C) 1999 Elsevie r Science Ltd. All rights reserved.