A New Control Method Based on Flexible Logic

Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007) Pub Date : 2007-08-24 DOI:10.1109/FSKD.2007.72

Li-hua Fu, Huacan He

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引用次数: 0

Abstract

Fuzzy control is based on fuzzy control rules, provided by experts, to control complex systems. The fuzzy control rules describe rudely the relation between input and output of controller. So Fuzzy controller is in essence a piecewise approximator. As a result, fuzzy control has two shortcomings in the process of controlling some practical complex systems. One is that control rules will increase exponentially with the increasing of the number of inputs, and the other one is that the precision of control system is not high. By analyzing thoroughly the essential relation between two input variables of the normal two-dimensional fuzzy controller, this paper proves that the essential relation is just universal combinatorial relation in universal logic. So the simple universal combinatorial operation can be used instead of complex fuzzy reasoning process. As a result, a flexible logic control method is proposed to realize the accurate control for complex system. Finally, the experimental result of single inverted-pendulum physical system has proved the correctness and effectiveness of the control method.

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一种基于柔性逻辑的新型控制方法

模糊控制是根据专家提供的模糊控制规则对复杂系统进行控制。模糊控制规则粗略地描述了控制器输入和输出之间的关系。因此模糊控制器本质上是一个分段逼近器。因此，模糊控制在实际复杂系统的控制过程中存在两个不足。一是控制规则会随着输入数量的增加呈指数增长，二是控制系统的精度不高。通过对普通二维模糊控制器的两个输入变量之间的本质关系的深入分析，证明了这种本质关系只是普遍逻辑中的普遍组合关系。因此可以用简单的通用组合运算来代替复杂的模糊推理过程。为此，提出了一种柔性逻辑控制方法，以实现对复杂系统的精确控制。最后，单倒立摆物理系统的实验结果证明了该控制方法的正确性和有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007)

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