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A New Fuzzy PID Control System Based on Fuzzy PID Controller and Fuzzy Control Process
International Journal of Fuzzy Systems ( IF 4.3 ) Pub Date : 2020-08-11 , DOI: 10.1007/s40815-020-00904-y
Nguyen Dinh Phu , Nguyen Nhut Hung , Ali Ahmadian , Norazak Senu

In this paper, we present a fuzzy PID control system as a combination of a fuzzy PID controller and a fuzzy control process, which is represented by a fuzzy control differential equation in linear form. We use the concepts of the generalized Hukuhara differentiability and the fuzzy integral of fuzzy-valued functions to study some qualitative properties for this system in the space of fuzzy numbers. We also study the existence and uniqueness result for solutions of fuzzy PID control differential equations under some suitable conditions. A number of examples are also provided to illustrate the results of the theory.



中文翻译:

基于模糊PID控制器和模糊控制过程的新型模糊PID控制系统

在本文中,我们提出了一种模糊PID控制系统,该系统是模糊PID控制器和模糊控制过程的组合,以线性形式的模糊控制微分方程表示。我们使用广义Hukuhara可微性的概念和模糊值函数的模糊积分来研究该系统在模糊数空间中的一些定性性质。我们还研究了在某些合适条件下模糊PID控制微分方程解的存在性和唯一性结果。还提供了许多示例来说明该理论的结果。

更新日期:2020-08-11
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