Global state feedback stabilisation for a class of more general high‐order non‐linear systems

This study addresses the problem of global stabilisation by state feedback for a class of high‐order non‐linear systems with more general uncertainties, to which the existing control methods are inapplicable. By introducing sign function and necessarily modifying the method of adding a power integrator, a continuous state feedback controller is successfully constructed to guarantee the global asymptotic stability of the resulting closed‐loop system. Two simulation examples are provided to illustrate the effectiveness of the proposed approach.