This paper studies the problem of the prescribed-time tracking control for a class of strict-feedback nonlinear systems with guaranteed performance. We will design a controller to achieve the following: one is to achieve the prescribed-time tracking, in which the settling time is not only independent of the design parameters, nor does it depend on the initial conditions, and can be set according to per our will; the other is to achieve prescribed performance composed of both the time-varying output constraint (TVOC) and the non-overshooting response. First, sufficient conditions on the prescribed-time tracking control with guaranteed performance are proposed. Then, based on the method of time-varying Barrier Lyapunov function (BLF) and $L_{G}V$-backstepping, a recursive algorithm is developed to construct a controller to achieve the prescribed-time tracking control with guaranteed performance. Finally, two examples are provided to demonstrate the effectiveness of the proposed results.

本文研究了一类性能有保证的严格反馈非线性系统的规定时间跟踪控制问题。我们将设计一个控制器来实现以下几点：一是实现规定时间跟踪，其中建立时间不仅与设计参数无关，也不取决于初始条件，可以根据每我们的意愿；另一种是实现由时变输出约束（TVOC）和非超调响应组成的规定性能。首先，提出了保证性能的规定时间跟踪控制的充分条件。然后，基于时变障碍李雅普诺夫函数（BLF）的方法和${\mathrm{大号}}_G五$-backstepping，开发了一种递归算法来构造一个控制器，以实现规定时间的跟踪控制，并保证性能。最后，提供了两个例子来证明所提出结果的有效性。