Nonsmooth output feedback design with a dynamic gain for uncertain systems with strong nonlinearity

This paper investigates the problem of global robust stabilization by output feedback, for a family of genuinely nonlinear systems satisfying homogeneous growth conditions with an output dependent rate. To cope with such strong nonlinearities and uncertainties, we introduce a rescaling transformation with a gain to be tuned online by a dynamic equation. With the help of the dynamic rescaling technique and the nonsmooth design method proposed recently, we develop a robust output feedback control scheme which leads to a solution to the problem under consideration. The nonsmooth output feedback design does not need to know the uncertainty accurately and depends only on the knowledge of the bounding system.