A comparison of non-stationary, type-2 and dual surface fuzzy control

Benatar, Naisan; Aickelin, Uwe; Garibaldi, Jonathan M.

Abstract

Type-1 fuzzy logic has frequently been used in control systems. However this method is sometimes shown to be too restrictive and unable to adapt in the presence of uncertainty. In this paper we compare type-1 fuzzy control with several other fuzzy approaches under a range of uncertain conditions. Interval type-2 and non-stationary fuzzy controllers are compared, along with ‘dual surface’ type-2 control, named due to utilising both the lower and upper values produced from standard interval type-2 systems. We tune a type-1 controller, then derive the membership functions and footprints of uncertainty from the type-1 system and evaluate them using a simulated autonomous sailing problem with varying amounts of environmental uncertainty. We show that while these more sophisticated controllers can produce better performance than the type-1 controller, this is not guaranteed and that selection of Footprint of Uncertainty (FOU) size has a large effect on this relative performance.

Citation

Benatar, N., Aickelin, U., & Garibaldi, J. M. (in press). A comparison of non-stationary, type-2 and dual surface fuzzy control.

• Conference Name: 2011 IEEE International Conference on Fuzzy Systems
• End Date: Jun 30, 2011
• Acceptance Date: Jan 1, 2011
• Deposit Date: Jun 17, 2016
• Peer Reviewed: Peer Reviewed
• Keywords: Fuzzy Control; Interval Type-2 Fuzzy; Non-stationary; Robot Boat control
• Public URL: https://nottingham-repository.worktribe.com/output/706964
• Publisher URL: http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6007602&tag=1
• Related Public URLs: http://ima.ac.uk/papers/benatar2011a.pdf
• Additional Information: © 2011 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.; [DOI 10.1109/FUZZY.2011.6007602]