Global output feedback asymptotic stabilization for a class of nonlinear systems

The global asymptotic stabilization problem by output feedback is proposed for a class of nonlinear systems which have uncertain control coefficients and unmeasured states dependent growth. Firstly, by introducing a novel state transformation, the original system is transformed into a new system without uncertain control coefficients. Then, a suitable observer is applied and an output feedback controller is designed for the new system. It is shown that all the signals of the closed-loop system are global asymptotic stabilization by choosing the design parameters properly.