This study considers the tracking control problem of the nonstrict-feedback nonlinear system with unknown backlash-like hysteresis, and a finite-time adaptive fuzzy control scheme is developed to address this problem. More precisely, the fuzzy systems are employed to approximate the unknown nonlinearities, and the design difficulties caused by the nonlower triangular structure are also overcome by using the property of fuzzy systems. Besides, the effect of unknown hysteresis input is compensated by approximating an intermediate variable. With the aid of finite-time stability theory, the proposed control algorithm could guarantee that the tracking error converges to a smaller region. Finally, a simulation example is provided to further verify the above theoretical results.

该研究考虑了具有未知反冲样滞后的非严格反馈非线性系统的跟踪控制问题，并提出了一种有限时间自适应模糊控制方案来解决该问题。更准确地说，采用模糊系统来近似未知的非线性，并利用模糊系统的性质克服了非下三角结构引起的设计难题。此外，通过近似中间变量来补偿未知的磁滞输入的影响。借助于有限时间稳定性理论，所提出的控制算法可以保证跟踪误差收敛到较小的区域。最后，提供了一个仿真实例来进一步验证上述理论结果。