In view of the result and performance of control are affected by the existence of input constraints and requirements, adaptive multi‐dimensional Taylor network (MTN) funnel control problem is studied for a class of nonlinear systems with asymmetric input saturation in this paper. Firstly, the effect of asymmetric input saturation can overcome by introducing the Gaussian error function, namely, the asymmetric saturation model is represented as a simple linear model with a bounded disturbance. Secondly, MTNs are employed to approximate the unknown functions in the controller design. Then, an adaptive MTN tracking controller is developed by blends the idea of funnel control into backstepping, which can guarantee that the tracking error always meets the given prescribed performance regarding the transient and steady state responses as well as the output of system tracks the give continuous reference signal. Finally, the effectiveness of the proposed control is demonstrated using two examples.

中文翻译：

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一类具有非对称输入饱和的非线性系统的自适应多维泰勒网络漏斗控制

鉴于输入约束和要求的存在会影响控制的结果和性能，本文针对一类具有非对称输入饱和的非线性系统研究了自适应多维泰勒网络（MTN）漏斗控制问题。首先，通过引入高斯误差函数可以克服非对称输入饱和的影响，即，将非对称饱和模型表示为具有有界扰动的简单线性模型。其次，在控制器设计中采用MTN近似未知功能。然后，通过将漏斗控制的思想混入Backstepping中，从而开发出自适应MTN跟踪控制器，这可以确保跟踪误差始终满足瞬态和稳态响应的给定规定性能，并且系统的输出跟踪给定的连续参考信号。最后，通过两个例子证明了所提出的控制方法的有效性。