This paper addresses the fixed-time adaptive fuzzy control problem for a class of uncertain non-linear systems in non-strict-feedback form. A novel fixed-time adaptive fuzzy backstepping control (BC) scheme is proposed by integrating the fuzzy logic systems and fixed-time control technique into each step of the BC design. Rigorous theoretical analysis for the practical fixed-time stability of the resulting closed-loop system is provided. The proposed controller can guarantee that the tracking errors of the considered systems converge to the small regions about the origin in fixed time with a relatively simple structure. To the best of the authors’ knowledge, there are only really limited existing controllers that can achieve such excellent performance under the same conditions. Finally, two simulation examples illustrate the effectiveness and superiority of the proposed control scheme.

本文研究了一类非严格反馈形式的不确定非线性系统的固定时间自适应模糊控制问题。通过将模糊逻辑系统和固定时间控制技术集成到 BC 设计的每个步骤中，提出了一种新颖的固定时间自适应模糊反步控制 (BC) 方案。为所得闭环系统的实际固定时间稳定性提供了严格的理论分析。所提出的控制器可以保证所考虑系统的跟踪误差在固定时间内以相对简单的结构收敛到原点附近的小区域。据作者所知，在相同条件下能够实现如此出色性能的现有控制器非常有限。最后，