Adaptive fuzzy funnel control for nonlinear systems with input deadzone and saturation

Adaptive fuzzy funnel control for nonlinear systems with input deadzone and saturation
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具有输入死区和饱和的非线性系统的自适应模糊漏斗控制

DOI:
10.1080/00207721.2020.1766153
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发表时间:
2020-06
影响因子:
4.3
通讯作者:
Zhou Yucheng
Zhou Yucheng
中科院分区:
计算机科学4区
文献类型:
--
作者:
Liu Cungen;Wang Huanqing;Liu Xiaoping;Zhou Yucheng

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本文首次研究了同时具有输入死区和饱和的严格反馈系统的漏斗控制问题。首先提出了一种新的非仿射形式的光滑函数来逼近非光滑输入死区和饱和,并利用中值定理将其转化为仿射形式。利用模糊逻辑系统对未知的非线性函数和外界干扰进行估计。给出了一种改进的漏斗误差,并将其嵌入到控制器的设计过程中。基于反推法构造了自适应模糊漏斗控制器,保证了输出跟踪误差落在预先设定的漏斗内,保证了闭环系统中所有信号是半全局一致且最终有界的。仿真结果验证了所设计控制器的有效性。
This paper, for the first time, focuses on the problem of funnel control for strict-feedback systems with input deadzone and saturation, simultaneously. A new smooth function in non-affine form is firstly proposed to approximate the non-smooth input deadzone and saturation and transformed into an affine form by the mean-value theorem. The unknown nonlinear functions and external disturbances are estimated by fuzzy logic systems. An improved funnel error is given and embedded in the procedure of controller design. Based on the backstepping method, an adaptive fuzzy funnel controller is constructed, which guarantees that the output tracking error falls within a pre-set funnel and all the signals in the closed-loop system are semi-globally uniformly and ultimately bounded. Simulation results demonstrate the effectiveness of the developed controller.
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