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This study considers the global adaptive control design for a class of high‐order uncertain non‐linear systems. Different from the existing results, the systems under investigation have serious unknowns which cannot be bounded by any known constants, and particularly have double control input channels, that is, the scalar control input directly affects two one‐dimensional subsystems. Inspired by the author's recent results, by skillfully combing the method of adding a power integrator and some adaptive techniques, an adaptive controller is successfully constructed which can guarantee the asymptotical convergence of the system states for any given initial conditions. A simulation example is given to demonstrate the validity of the obtained theoretical results. [ABSTRACT FROM AUTHOR]