Abstract
In this paper an uncertain dynamical system is investigated in which the coefficients are as a class of fuzzy sets and the fuzzy derivative is considered as the granular derivative. Furthermore, the notions of granular second order derivative of a fuzzy function, fuzzy overshoot, fuzzy rise-time, and fuzzy peak-time are introduced. As a result, designing a class of PID controllers called granular Fuzzy PID (gr-FPID) controller is presented based on fuzzy mathematics. The gr-FPID consists of granular integral, granular derivative with fuzzy coefficients. Moreover, the Particle Swarm Optimization (PSO) algorithm is used to tune gr-FPID fuzzy coefficients. It is demonstrated that the gr-FPID controller can effectively control the temperature in a continuous stirred tank reactor in which the parameters are uncertain.
| Original language | English |
|---|---|
| Article number | 114182 |
| Journal | Expert Systems with Applications |
| Volume | 167 |
| DOIs | |
| State | Published - 1 Apr 2021 |
| Externally published | Yes |
Keywords
- Granular second order derivative
- Horizontal membership functions
- Overshoot
- PID controller
- PSO algorithm
- Rise-time
Fingerprint
Dive into the research topics of 'Granular fuzzy PID controller'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver