Improvement of Fuzzy Control Methods and Development of Tools for Fuzzy Controls

模糊控制方法的改进和模糊控制工具的开发

• 批准号: 02680032
• 负责人: MIZUMOTO Masaharu
• 金额: $ 0.96万
• 依托单位: Osaka Electro-communication University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1990
• 资助国家: 日本
• 起止时间: 1990 至 1991
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-02680032/
• 关键词: Fuzzy reasoning; Fuzzy controls; Min-max-gravity method; Product-sum-gravity method; PID control; Singleton type fuzzy reasoning; FLIL; Tool for fuzzy controls; ファジィ制御構築用ツ-ル

1. New fuzzy reasoning method for fuzzy control, called product-sum-gravity method, is proposed and compared with Mamdani's fuzzy reasoning method known as min-max-gravity method. It is shown that the product-sum-gravity method is intuitive in nature and can get better control results than min-max gravity method. Moreover, several new fuzzy reasoning methods such as (min/product) -max-gravity method, bounded product-algebraic sum-gravity method and so on are proposed and can get better control results than min-max-gravity method.2. Emphatic effects on fuzzy inference results are observed when the identical fuzzy control rules are used twice or more in the fuzzy reasoning process under product-sum-gravity method. Inhibitory effects are also realized by employing fuzzy control rules whose consequence part is characterized by a negative valued membership function. It is shown that good control results are obtained by using such fuzzy control rules of emphatic and inhibitory types.3. The properties of multi-fold fuzzy reasoning and multi-stage fuzzy reasoning are investigated. Inference results of multi-fold fuzzy reasoning are obtained by using several implications and it is shown that implication rules based on Godelian sequence and standard sequence can get good inference results. The formulation of n-stage syllogism and multi-fold multi-stage fuzzy reasoning are executed under Mamdani's fuzzy reasoning method.4. A tool for the implementation of fuzzy controls is developed by using the results obtained above. It is written in C language and can manipulate fuzzy variables, membership function, fuzzy control rules and fuzzy inference engine. Moreover, we developed new tool written in FLIL language (Fuzzy Logic Interpreter Language) which is implemented for only fuzzy controls. This new tool can treat membership function and fuzzy control rules more easily.

1.提出了一种新的模糊控制模糊推理方法--积和重心法，并与Mamdani的模糊推理方法--最小最大重心法进行了比较。结果表明，积和重心法具有直观性，比最小最大重心法能得到更好的控制效果。提出了（最小/乘积）-最大重心法、有界乘积-代数和重心法等新的模糊推理方法，得到了比最小-最大重心法更好的控制效果.在积和重心法的模糊推理过程中，当相同的模糊控制规则被使用两次或两次以上时，模糊推理结果会受到明显的影响。抑制效果也实现了采用模糊控制规则，其后果部分的特点是由一个负值的隶属函数。结果表明，采用这种抑制型和抑制型模糊控制规则，取得了良好的控制效果.研究了多重模糊推理和多级模糊推理的性质。利用几种蕴涵规则得到了多重模糊推理的推理结果，表明基于哥德尔序列和标准序列的蕴涵规则都能得到较好的推理结果。在Mamdani的模糊推理方法下，实现了n阶三段论的建立和多重多级模糊推理.利用上述结果开发了一个模糊控制器的实现工具。它是用C语言编写的，可以操纵模糊变量，隶属函数，模糊控制规则和模糊推理机。此外，我们开发了新的工具编写的FLIL语言（模糊逻辑解释器语言），这是实现只有模糊控制。这种新的工具可以更容易地处理隶属函数和模糊控制规则。

项目成果

北村・片井(編),水本(分担): "画像と制御(ニュ-ロ・ファジィ・AIによるアプロ-チ)" 朝倉書店, 300 (1991)

Kitamura 和 Katai（编辑）、Mizumoto（合伙人）：“图像与控制（神经模糊/AI 方法）” Asakura Shoten，300 (1991)

水本: "最近のファジィ制御法" 数理科学. No.333. 20-26 (1991)

水本：“最近的模糊控制方法”《数学科学》第 333 期（1991 年）。

水本: "ファジィ制御とその応用" 設計・製図. 26. 576-582 (1991)

Mizumoto：“模糊控制及其应用”设计和起草。26. 576-582 (1991)。

Liu Xi-hui,M.Mizumoto(ed): "Advancement of Fuzzy Theory and Systems in China and Japan" International Academic Press, 500 (1990)

刘锡辉，M.Mizumoto主编：《模糊理论与系统在中国和日本的进展》国际学术出版社，500（1990）

Mizumoto, M.: "Fuzzy controls under new fuzzy reasoning methods" Proc. of Joint Hungarian-Japanese Symposium on Fuzzy Systems and Applications. 122-126 (1991)

Mizumoto, M.：“新模糊推理方法下的模糊控制”Proc。