Multi‐Switching‐Based Global Predefined‐Time Adaptive Control for a Class of Switched Nonlinear Systems With Input Saturation Constraints

This study addresses the adaptive global predefined‐time tracking control problem for a class of switched nonlinear systems with input saturation constraints. Firstly, by introducing the hyperbolic tangent function, a piecewise smooth function is constructed. This function not only effectively approximates the input saturation constraints but also accurately handles them. Subsequently, a multi‐dimensional Taylor network (MTN) is utilized to provide a novel estimation method for the nonlinear terms in the backstepping control process. Additionally, a finite‐time differentiator is introduced to accurately estimate the first‐order derivative of the virtual controller. Notably, the proposed multi‐switching‐based global predefined‐time controller not only ensures that the tracking error converges to a small neighborhood of zero within a predefined time, but also achieves globally uniform ultimate boundedness for all signals in the closed‐loop system. Finally, to further validate the effectiveness of the control algorithm, both numerical and simulation examples are provided.