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

被引：4
作者：
Nguyen Dinh Phu
Nguyen Nhut Hung
Ali Ahmadian
Norazak Senu
机构：
[1] Quang Trung University,Faculty of Engineering Technology
[2] The National University of Malaysia,Institute of IR 4.0
[3] University Putra Malaysia,Institute for Mathematical Research (INSPEM)
来源：
International Journal of Fuzzy Systems | 2020年 / 22卷
关键词：
Fuzzy PID controller; Generalized Hukuhara differentiability; Fuzzy differential equations; Fuzzy PID control system;
D O I：
暂无
中图分类号：
学科分类号：
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：24
相关论文
共 53 条
[1]  
Bede B(2005)Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations Fuzzy. Sets. Syst. 151 581-599
[2]  
Gal SG(2006)A note on two-point boundary value problems associated with non-linear differential equations Fuzzy. Sets. Syst. 157 986-989
[3]  
Bede B(2010)Solutions of fuzzy differential equations based on generalized differentiability Commun. Math. Anal. 9 22-41
[4]  
Bede B(2013)Generalized differentiability of fuzzy-valued functions Fuzzy. Sets. Syst. 230 119-141
[5]  
Gal SG(2008)On new solutions of fuzzy differential equations Chaos. Solitons. Fractals. 38 112-119
[6]  
Bede B(1972)On fuzzy mapping and control IEEE. Transact. Syst. Man. Cybern. 2 30-34
[7]  
Stefanini L(1982)Towards fuzzy differential calculus-part III: differentiation Fuzzy. Sets. Syst. 8 225-233
[8]  
Chalco-Cano Y(1986)Elementary fuzzy calculus Fuzzy. Sets. Syst. 18 31-43
[9]  
Roman-Flores H(2006)Parametric representation of fuzzy numbers and application to fuzzy calculus Fuzzy. Sets. Syst. 157 2423-2455
[10]  
Chang SL(2019)Adaptive fuzzy PID control strategy for spacecraft attitude control Int. J. Fuzzy. Syst. 21 769-781
123456