Global Prescribed-Time Stabilization for a Class of Uncertain Feedforward Nonlinear Systems

The problem of global prescribed-time stabilization (PTS) is addressed in this brief for a class of uncertain feedforward nonlinear systems. To achieve this task, a new time-scale transformation (TST) is first introduced, which has the good property that it changes the original global PTS into the global asymptotic stabilization of the transformed one but does not changes the system structures. Then, under the new framework, both state and output feedback controllers are developed to achieve the requiring performances with the help of the non-recursive technique. At last, simulation results of a nonlinear liquid level control resonant circuit (NLLCRC) system are provided to show the validity of the given approach.