Granular fuzzy PID controller

作者：

Highlights：

• Presenting granular second order derivative of a fuzzy function.

• Defining fuzzy overshoot, fuzzy rise time, and fuzzy peak time.

• Presenting an approach for the linearization of a nonlinear model around a fuzzy operating point.

• A new kind of fuzzy PID controller is designed (gr-FPID).

• Explaining the process of PSO algorithm for tuning the fuzzy parameters of gr-FPID.

摘要

•Presenting granular second order derivative of a fuzzy function.•Defining fuzzy overshoot, fuzzy rise time, and fuzzy peak time.•Presenting an approach for the linearization of a nonlinear model around a fuzzy operating point.•A new kind of fuzzy PID controller is designed (gr-FPID).•Explaining the process of PSO algorithm for tuning the fuzzy parameters of gr-FPID.

论文关键词：PSO algorithm,Granular second order derivative,Overshoot,Rise-time,Horizontal membership functions,PID controller

论文评审过程：Received 25 December 2019, Revised 4 October 2020, Accepted 26 October 2020, Available online 2 November 2020, Version of Record 10 February 2021.

论文官网地址：https://doi.org/10.1016/j.eswa.2020.114182