Abstract
This article aims to provide a new perspective on how the deployment of general type-2 (GT2) fuzzy sets affects the mapping of a class of fuzzy logic controllers (FLCs). It is shown that an α-plane represented a GT2-FLC is easily designed via baseline type-1 and interval type-2 FLCs and two design parameters (DPs). The DPs are the total number of α planes and the tuning parameter of the secondary membership function that are interpreted as sensitivity and shape DPs, respectively. We provide a clear understanding and interpretation of the sensitivity and shape DPs on controller performance through various comparative analyses. We present design approaches on how to tune the shape DP by providing a tradeoff between robustness and performance. We also propose two online scheduling mechanisms to tune the shape DP. We explore the effect of the sensitivity DP on the GT2-FLC and provide practical insights on how to tune the sensitivity DP. We present an algorithm for tuning the sensitivity DP that provides a compromise between computational time and sensitivity. We validate our analyses, interpretations, and design methods with experimental results conducted on a drone. We believe that this article provides clear explanations on the role of DPs on the performance, robustness, sensitivity, and computational time of GT2-FLCs.
| Original language | English |
|---|---|
| Article number | 9165875 |
| Pages (from-to) | 226-239 |
| Number of pages | 14 |
| Journal | IEEE Transactions on Fuzzy Systems |
| Volume | 29 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Feb 2021 |
Bibliographical note
Publisher Copyright:© 2020 IEEE.
Funding
Manuscript received February 1, 2020; revised May 21, 2020 and July 13, 2020; accepted August 5, 2020. Date of publication August 12, 2020; date of current version February 3, 2021. This work was supported by the Research Fund of the Scientific and Technological Research Council of Turkey under Project 118E807. (Corresponding author: Tufan Kumbasar.) Ahmet Sakalli and Tufan Kumbasar are with the Control and Automation Engineering Department, Istanbul Technical University, Istanbul 34469, Turkey (e-mail: [email protected]; [email protected]).
| Funders | Funder number |
|---|---|
| Türkiye Bilimsel ve Teknolojik Araştirma Kurumu | 118E807 |
Keywords
- General type-2 fuzzy logic controllers (GT2-FLCs)
- secondary membership function (SMF)
- systematic design
- type-2 fuzzy sets (FSs)