Interval Type-2 Fuzzy Logic Control of Linear Stages in Feedback-Error-Learning Structure Using Laser Interferometer

Mojtaba A. Khanesar (), Minrui Yan, Aslihan Karaca, Mohammed Isa, Samanta Piano and David Branson
Additional contact information
Mojtaba A. Khanesar: Faculty of Engineering, University of Nottingham, Nottingham NG7 2RD, UK
Minrui Yan: Faculty of Engineering, University of Nottingham, Nottingham NG7 2RD, UK
Aslihan Karaca: Faculty of Engineering, University of Nottingham, Nottingham NG7 2RD, UK
Mohammed Isa: Faculty of Engineering, University of Nottingham, Nottingham NG7 2RD, UK
Samanta Piano: Faculty of Engineering, University of Nottingham, Nottingham NG7 2RD, UK
David Branson: Faculty of Engineering, University of Nottingham, Nottingham NG7 2RD, UK

Energies, 2024, vol. 17, issue 14, 1-17

Abstract: The output processer of interval type-2 fuzzy logic systems (IT2FLSs) is a complex operator which performs type-reduction plus defuzzification (TR+D) tasks. In this paper, a complexity-reduced yet high-performance TR+D for IT2FLSs based on Maclaurin series approximation is utilized within a feedback-error-learning (FEL) control structure for controlling linear move stages. IT2FLSs are widely used for control purposes, as they provide extra degrees of freedom to increase control accuracies. FEL benefits from a classical controller, which is responsible for providing overall system stability, as well as a guideline for the training mechanism for IT2FLSs. The Kalman filter approach is utilized to tune IT2FLS parameters in this FEL structure. The proposed control method is applied to a linear stage in real time. Using an identification process, a model of the real-time linear stage is developed. Simulation results indicate that the proposed FEL approach using the Kalman filter as an estimator is an effective approach that outperforms the gradient descent-based FEL method and the proportional derivative (PD) classical controller. Motivated by the performance of the proposed Kalman filter-based FEL approach, it is used to control a linear move stage in real time. The position feedback of the move stage is provided by a precision laser interferometer capable of performing measurements with an accuracy of less than 1 μ m . Using this measurement system in a feedback loop with the proposed control algorithm, the overall steady state of the system is less than 20 μ m . The results illustrate the high-precision control capability of the proposed controller in real-time.

Keywords: interval type-2 fuzzy systems (IT2FLSs); feedback error learning; laser interferometer; Kalman filter (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/1996-1073/17/14/3434/pdf (application/pdf)
https://www.mdpi.com/1996-1073/17/14/3434/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jeners:v:17:y:2024:i:14:p:3434-:d:1433821

Access Statistics for this article

Energies is currently edited by Ms. Agatha Cao

More articles in Energies from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().