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Development and application of a gradient descent method in adaptive model reference fuzzy control

机译:梯度下降法在自适应模型参考模糊控制中的开发与应用

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The paper presents an adaptive model-reference fuzzy controller (AMRFC) to control the water level of a water tank. It derives the AMRFC and compares its performance with the more conventional methods of proportional-integral (PI) control and model-reference adaptive control (MRAC). The gradient descent method is chosen to adapt the AMRFC. Unlike most of the papers reviewed, which use the error and error change as inputs to the fuzzy system, the paper uses the theoretical background developed for MRAC in choosing these inputs. Although the controller uses many inference rules (441 rules), it is shown that the required mathematical calculations are not much, making implementation on a low-end microcontroller feasible. The control algorithm is implemented in simulation and real-time using an 8-bit microcontroller. It is found that the AMRFC and MRAC have approximately similar performance, however they compare favorably to the PI controller. This similarity in performance is due to the linearity of the plant, and it is expected that the AMRFC would have a much performance if the plant had a stronger non-linearity.
机译:本文提出了一种自适应模型参考模糊控制器(AMRFC)来控制水箱的水位。它推导了AMRFC并将其性能与更常规的比例积分(PI)控制和模型参考自适应控制(MRAC)方法进行比较。选择梯度下降法以适应AMRFC。与大多数已审查的论文(使用误差和误差变化作为模糊系统的输入)不同,本文使用为MRAC开发的理论背景来选择这些输入。尽管控制器使用了许多推理规则(441条规则),但事实表明所需的数学计算量并不大,这使得在低端微控制器上实现是可行的。该控制算法是使用8位微控制器以仿真和实时方式实现的。发现AMRFC和MRAC具有大致相似的性能,但是与PI控制器相比它们具有优势。性能上的这种相似性是由于设备的线性而引起的,如果设备具有更强的非线性,则可以预期AMRFC将具有很大的性能。

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