Prescribed-time Stabilization with Time-varying Output Constraints for Switched Nonlinear Systems

This paper studies the problem of the prescribed-time stabilization for a class of switched nonlinear systems with time-varying output constraints. Firstly, a new coordinate design of the output enables the constraints to be incorporated into the original system. Secondly, a fractional term will be played an essential role in achieving prescribed-time stabilization. Then, based on the method of Barrier Lyapunov function (BLF) and backstepping, a recursive algorithm is developed to construct a controller to achieve the prescribed-time stabilization with time-varying output constraints. Finally, two examples are provided to show the effectiveness of the proposed results.