Abstract
Abstract In this paper, the state-feedback stabilizing control design is investigated for a class of high-order nonlinear systems with unknown but identical control coefficients. Although there are system uncertainties, i.e., the unknown control coefficients, no adaptive technique but appropriately choosing design parameters is available in control design. Here a new approach is put forward to achieve a stabilizing controller for such a class of nonlinear systems. Using the backstepping approach, the design procedure for the stabilizing controller is presented. The designed state-feedback controller preserves the equilibrium at the origin, and guarantees that the closed-loop systems be globally asymptotically stable.
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