This paper investigates the problem of adaptive disturbance attenuation for a class of generalized high-order uncertain nonlinear systems. The control strategy is on the basis of continuous domination and delicate adaptive technique, and it can cope with serious coexistence among uncertainties, including time-varying control coefficients which have unknown upper and lower bounds, nonlinear parameters and external disturbances. Adaptive state-feedback controller is one-dimensional irrespective of the number of unknown parameters, and its performance is evaluated in terms of L-2-L-2p gain. (C) 2017 Elsevier Ltd. All rights reserved.