When designing a controller based on a fuzzy model composed of fuzzy rules, in most cases controllers are designed only based on the consequent parts of the fuzzy rules, equally meaning the information of the antecedent parts is merely ignored. This paper first partitions all of the rules into two groups based on the information of the antecedent parts, in which one contains certain rules around the origin, and the other is a group of rules away from the origin. While being able to make the former arbitrarily small, each rule of the latter leads to a favorable quadratic inequality, which will be useful in controller design by the help of the S-procedure. On the other hand, while the affine T-S fuzzy model is much more effective for describing the dynamics of the system concerned in comparison with the regular T-S fuzzy model, it encounters some difficulties when designing a controller based on the model because of the affine terms within. This paper makes clear that the difficulties can be overcame by using the quadratic inequalities based on the fuzzy rule partition. In addition, the effectiveness of the approach is demonstrated by applying it to the CSTR for an exothermic irreversible reaction. © 2022 Institute of Electrical Engineers of Japan. Published by Wiley Periodicals LLC.

中文翻译：

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一种基于仿射TS模糊模型的模糊规则划分及其在控制器设计中的应用

在基于模糊规则组成的模糊模型设计控制器时，大多数情况下控制器仅基于模糊规则的后件部分设计，同样意味着前件部分的信息被忽略。本文首先根据前因部分的信息将所有规则分为两组，一组包含围绕原点的某些规则，另一组是远离原点的一组规则。虽然能够使前者任意小，但后者的每个规则都会导致有利的二次不等式，这将在 S 过程的帮助下在控制器设计中有用。另一方面，虽然仿射 TS 模糊模型比常规 TS 模糊模型更有效地描述了相关系统的动力学，由于其中的仿射项，在基于模型设计控制器时遇到了一些困难。本文明确了利用基于模糊规则划分的二次不等式可以克服这些困难。此外，该方法的有效性通过将其应用于 CSTR 进行放热不可逆反应来证明。© 2022 日本电气工程师学会。由 Wiley Periodicals LLC 出版。© 2022 日本电气工程师学会。由 Wiley Periodicals LLC 出版。© 2022 日本电气工程师学会。由 Wiley Periodicals LLC 出版。