Sliding mode type-2 fuzzy control of robotic arm using ellipsoidal membership functions

Mojtaba Ahmadieh Khanesar, Erdal Kayacan, Okyay Kaynak, Wouter Saeys

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Abstract

Several papers claim that the performance of the type-2 fuzzy logic systems is superior over their type-1 counterparts, especially under noisy conditions. In order to show the effectiveness of the noise reduction capabilities of the type-2 fuzzy logic systems, a novel type-2 fuzzy membership function, ellipsoidal membership function, has recently been proposed. The novel membership function has certain values on both ends of the support and the kernel, and some uncertain values on the other values of the support. The parameters responsible for the width of uncertainty are decoupled from the parameters responsible for the center and the support of the membership function. In this study, a sliding mode control theory based learning algorithm has been proposed to tune the consequent part parameters tuning of the ellipsoidal type-2 fuzzy membership functions. The applicability of the novel membership function with the proposed novel parameter update rules has been shown on the control of a 2DOF robotic arm. The simulation results show that the type-2 fuzzy neural networks working in parallel with conventional PD controllers have the ability of controlling the robotic arm with a high accuracy especially under noisy conditions.

Original languageEnglish
Title of host publication2013 9th Asian Control Conference, ASCC 2013
Publication date2013
Article number6606393
ISBN (Print)9781467357692
DOIs
Publication statusPublished - 2013
Externally publishedYes
Event2013 9th Asian Control Conference, ASCC 2013 - Istanbul, Turkey
Duration: 23 Jun 201326 Jun 2013

Conference

Conference2013 9th Asian Control Conference, ASCC 2013
CountryTurkey
CityIstanbul
Period23/06/201326/06/2013

Cite this

Khanesar, M. A., Kayacan, E., Kaynak, O., & Saeys, W. (2013). Sliding mode type-2 fuzzy control of robotic arm using ellipsoidal membership functions. In 2013 9th Asian Control Conference, ASCC 2013 [6606393] https://doi.org/10.1109/ASCC.2013.6606393