Global Output Feedback Stabilization for a Class of Nonlinear Planar Systems with Output-Dependent Growth Rates

Abstract In this paper, we consider the global output feedback stabilization problem for a class of nonlinear planar systems under a more general growth condition. The nonlinearities in such a system are bounded by both lower-order and higher-order terms with an output-dependent growth rate. This problem is solved by integrating the feedback domination technique and a novel dual observer approach, where two individual observers are constructed in parallel with one estimating the linear part of the unmeasurable state and the other estimating the higher-order part. Moreover, the presented observers and the output feedback controller all have nonlinear gains. Simulations illustrate the effectiveness of the proposed stabilization scheme.