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Fuzzy Logic-Based Tuning of the Boundary Layer Thickness of the Variable Structure Controller

机译:基于模糊逻辑的可变结构控制器边界层厚度整定

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摘要

The variable structure control (VSC) is a simple and powerful nonlinear controller, but it leads to a high frequency chattering on the control input. To decrease the chattering phenomenon of the VSC, a boundary layer is commonly introduced. Then its thickness requires a compromise between the steady state error and the chattering amplitude. In this paper, we propose a new VSC that tunes the boundary layer thickness using the fuzzy logic system. The tuning methods presented are two: One uses absolute error and its derivative as fuzzy input variables, which decreases the number of tuning rules as compared with using common fuzzy variables of error and change of error. The other uses only a single fuzzy variable of a distance. This variable is derived by the property of two-dimensional rule table which is composed of absolute error and its derivative. Since the second method uses a single variable for tuning the thickness, the number of tuning rules is greatly decreased. Furthermore, we obtain the good tracking performance which is almost the same as that of the first method. To ensure the control performance in both cases, we perform computer simulations using an inverted pendulum as a controlled plant.
机译:可变结构控制 (VSC) 是一种简单而强大的非线性控制器,但它会导致控制输入端出现高频颤振。为了减少VSC的颤振现象,通常引入边界层。然后,它的厚度需要在稳态误差和颤振幅度之间做出折衷。在本文中,我们提出了一种新的VSC,它使用模糊逻辑系统调整边界层厚度。该文的调优方法有两种:一种是采用绝对误差及其导数作为模糊输入变量,与常见的误差和误差变化模糊变量相比,减少了调优规则的数量。另一个只使用距离的单个模糊变量。该变量由二维规则表的性质推导而来,该规则表由绝对误差及其导数组成。由于第二种方法使用单个变量来调整厚度,因此调整规则的数量大大减少。此外,我们获得了良好的跟踪性能,与第一种方法几乎相同。为了确保这两种情况下的控制性能,我们使用倒立摆作为受控对象进行计算机模拟。

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