Output tracking control for generalized high-order nonlinear system with almost disturbance decoupling

In this paper, we introduce a new method to solve the problem of output tracking control for a class of generalized high-order uncertain nonlinear systems with disturbance. A key contribution of this paper is a result relating its serious uncertainties including unknown high-order terms, unknown nonlinear functions and the signal to be tracked. The main result is that the tracking error belongs to a prescribed small neighborhood of the origin in finite time. Design procedure is presented by improved adding a power integrator method.