A New Fuzzy PID Control System Based on Fuzzy PID Controller and Fuzzy Control Process

被引：72
|
作者：
Phu Nguyen Dinh [1 ]
Hung Nguyen Nhut [1 ]
Ahmadian Ali [2 ]
Senu Norazak [3 ]
机构：
[1] Quang Trung Univ, Fac Engn Technol, Quy Nhon City, Vietnam
[2] Natl Univ Malaysia, Inst IR 4 0, Bangi 43600, Selangor, Malaysia
[3] Univ Putra Malaysia, Inst Math Res INSPEM, Serdang 43400, Selangor, Malaysia
来源：
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS | 2020年 / 22卷 / 07期
关键词：
Fuzzy PID controller; Generalized Hukuhara differentiability; Fuzzy differential equations; Fuzzy PID control system;
D O I：
10.1007/s40815-020-00904-y
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
引用
收藏
页码：2163 / 2187
页数：25
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