In this paper, a multi-dimensional Taylor network (MTN)-based adaptive tracking control approach is proposed for a class of switched nonlinear systems with input nonlinearity. Firstly, the input nonlinearity is assumed to be bounded by a sector interval. Secondly, with the help of MTNs approximating the unknown nonlinear functions, a novel adaptive MTN control scheme has the advantages of low cost, simple structure and real time feature is developed via backstepping technique. It is shown that the tracking error finally converges to a small domain around the origin and all signals in the closed-loop system are bounded. Finally, two examples are given to demonstrate the effectiveness of the proposed control scheme.

中文翻译：

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一类具有输入非线性的切换非线性系统的自适应多维泰勒网络跟踪控制

在本文中，针对一类具有输入非线性的切换非线性系统，提出了一种基于多维泰勒网络（MTN）的自适应跟踪控制方法。首先，假设输入非线性受到扇区间隔的限制。其次，借助MTN逼近未知非线性函数，通过反步技术开发了一种具有成本低、结构简单和实时性强的新型自适应MTN控制方案。结果表明，跟踪误差最终收敛到原点周围的一个小域，闭环系统中的所有信号都是有界的。最后，给出了两个例子来证明所提出的控制方案的有效性。