一种简化的通用型2型Mamdani和Takagi-Sugeno模糊比例积分导数控制器的一维输入空间建模

IF 8 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

Engineering Applications of Artificial Intelligence Pub Date : 2025-02-22 DOI:10.1016/j.engappai.2025.110289

Ritu Raj

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引用次数: 0

摘要

几十年来，各种模糊控制器不断发展。人们对第一类和第二类区间模糊控制器的若干数学模型进行了探索。这些建模方法大多涉及二维/三维输入空间。在这项工作中，我们提出了一种简化的建模方法，用于涉及一维输入空间的通用第二类（GT2）Mamdani 和高木-菅野（TS）模糊比例积分微分（PID）控制器。模糊 PID 控制器的结构是模糊比例（FP）加模糊积分（FI）加模糊微分（FD）控制动作的并行组合。通过消除 "AND"（三角准则）和 "OR"（三角共准则）运算符的作用，并行 PID 控制结构简化了模糊 "IF-THEN "规则。这种解耦规则库有助于降低 GT2 模糊 PID 控制器的计算复杂度。由于采用了一维输入空间，与二维或三维输入空间相比，模糊控制器的可调参数数量大大减少。研究还证明，类型-1（T1）和区间类型-2（IT2）模糊控制器是 GT2 模糊控制器的变体。为了评估控制器模型，我们模拟了两个系统：具有死区时间的不稳定一阶系统和连续搅拌槽反应器（CSTR）。不过，这些模型也可用于其他动态过程和系统。

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One-dimensional input space modelling of a simplified general type-2 Mamdani and Takagi–Sugeno Fuzzy Proportional Integral Derivative controller

A wide variety of fuzzy controllers have evolved over several decades. Several mathematical models of type-1 and interval type-2 fuzzy controllers have been explored. Most of these modelling approaches involved two-/three- dimensional input space. In this work, we have presented a simplified modelling approach for a General Type-2 (GT2) Mamdani and Takagi–Sugeno (TS) fuzzy Proportional Integral Derivative (PID) controllers involving input space of one-dimension. The fuzzy PID controller’s structure is the parallel combination of the Fuzzy Proportional (FP) plus the Fuzzy Integral (FI) plus the Fuzzy Derivative (FD) control actions. Having a parallel PID control structure simplifies the fuzzy ‘

I F - T H E N

’ rules by eliminating the role of ‘

A N D

’ (triangular norms) and ‘

O R

’ (triangular co-norms) operators. This decoupled rule base aids in decreasing the computing complexity of the GT2 fuzzy PID controller. Owing to the one-dimensional input space, the number of tuneable parameters for fuzzy controllers reduces significantly when compared to two- or three-dimensional input spaces. It is also demonstrated that the type-1 (T1) and interval type-2 (IT2) fuzzy controllers are variations of the GT2 fuzzy controller. In order to assess the controller models, we simulate two systems: the unstable first-order system with dead time and the Continuously Stirred Tank Reactor (CSTR). These models, nevertheless, may also be applied to other dynamic processes and systems.

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来源期刊

Engineering Applications of Artificial Intelligence 工程技术-工程：电子与电气

CiteScore

9.60

自引率

10.00%

发文量

505

审稿时长

68 days

期刊介绍： Artificial Intelligence (AI) is pivotal in driving the fourth industrial revolution, witnessing remarkable advancements across various machine learning methodologies. AI techniques have become indispensable tools for practicing engineers, enabling them to tackle previously insurmountable challenges. Engineering Applications of Artificial Intelligence serves as a global platform for the swift dissemination of research elucidating the practical application of AI methods across all engineering disciplines. Submitted papers are expected to present novel aspects of AI utilized in real-world engineering applications, validated using publicly available datasets to ensure the replicability of research outcomes. Join us in exploring the transformative potential of AI in engineering.