In this paper, a finite‐time adaptive fault‐tolerant control (FTC) scheme is researched for a class of nonlinear systems with unmodeled dynamics, where the dynamic system is switched. Due to the complexity of the system and switching characteristics, it is not easy to solve the tracking problem in a finite time adopting existing approaches. In this study, a new FTC method is presented. This is completed by using the backstepping technology, common Lyapunov function method, and radial basis function (RBF) neural networks (NNs) which are utilized to estimate unknown functions. It is shown that all signals in the closed‐loop system are semi‐global bounded under arbitrary switching, and the tracking error converges to a small region around the origin in a finite time. An effective simulation example is given to prove the practicability of the designed scheme in the end.

中文翻译：

---

具有动态不确定性的非线性切换系统的有限时间自适应容错跟踪控制

本文针对一类具有非建模动力学的非线性系统，研究了一种有限时自适应容错控制（FTC）方案，在该系统中切换了动力学系统。由于系统的复杂性和切换特性，采用现有方法很难在有限的时间内解决跟踪问题。在这项研究中，提出了一种新的FTC方法。这可以通过使用Backstepping技术，常用的Lyapunov函数方法以及用于估计未知函数的径向基函数（RBF）神经网络（NN）来完成。结果表明，在任意切换下，闭环系统中的所有信号都是半全局有界的，并且跟踪误差在有限的时间内收敛到原点周围的一个小区域。