Smooth output feedback stabilization for nonlinear systems with time-varying powers

Abstract

This paper considers the global asymptotic stabilization problem for a class of nonlinear systems with time-varying powers. With only upper and lower bounds of the time-varying power, a smooth state feedback control law solving the problem is frst developed via the so-called adding a power integrator technique. When the system state is not fully available and the time-varying power is exactly known, a smooth output feedback control law constituted by a nonlinear state observer and a state feedback is constructed for achieving the stabilization task. In both cases, systematic approaches are explicitly presented for designing gains of control law and observer. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.