In this study, we discuss global adaptive stabilization for a class of uncertain nonlinear systems. The input powers of the system are unknown, and the upper bound and the nonzero lower bound are not known in advance. This suggests that the system suffers from severe uncertainties with respect to the input powers when compared with the related literature, which would considerably challenge the control design. The switching-based strategy can compensate for severe system uncertainties, especially new types of uncertainties, including those associated with the input powers. Herein, a switching adaptive controller is successfully designed to ensure that the resulting closed-loop system states are globally bounded and ultimately converge to the origin (the equilibrium point). The proposed controller is extended to the systems with unknown control directions by redefining the involved switching sequences. A simulation example demonstrates the effectiveness of the proposed switching adaptive controller.

在这项研究中，我们讨论了一类不确定非线性系统的全局自适应镇定。系统的输入功率是未知的，并且上限和非零下限是事先未知的。这表明与相关文献相比，该系统在输入功率方面存在严重的不确定性，这将极大地挑战控制设计。基于开关的策略可以补偿严重的系统不确定性，尤其是新型不确定性，包括与输入功率相关的不确定性。在此，成功地设计了一种开关自适应控制器，以确保所得的闭环系统状态全局有界，并最终收敛至原点（平衡点）。通过重新定义所涉及的开关顺序，将所提出的控制器扩展到控制方向未知的系统。仿真实例证明了所提出的开关自适应控制器的有效性。