Tracking control design for a class of generalized high-order nonlinear systems with serious uncertainties

This paper focuses on the problem of output tracking control for a class of generalized high-order uncertain nonlinear systems. Its serious uncertainties include unknown high-orders and unknown nonlinear functions. Design objective is to gain a new time-varying feedback scheme in order that the tracking error belongs to a prescribed small neighborhood of the origin in finite time. Design procedure is presented by combining improved adding a power integrator method with the recursive construction. As an application, the control methodology is used in the tracking control of the mass-spring mechanical system.

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