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Smart Structures and Systems
  Volume 31, Number 2, February 2023 , pages 199-212
DOI: https://doi.org/10.12989/sss.2023.31.2.199
 

Comparing type-1, interval and general type-2 fuzzy approach for dealing with uncertainties in active control
Farzaneh Shahabian Moghaddam and Hashem Shariatmadar

 
Abstract
    Nowadays fuzzy logic in control applications is a well-recognized alternative, and this is thanks to its inherent advantages. Generalized type-2 fuzzy sets allow for a third dimension to capture higher order uncertainty and therefore offer a very powerful model for uncertainty handling in real world applications. With the recent advances that allowed the performance of general type-2 fuzzy logic controllers to increase, it is now expected to see the widespread of type-2 fuzzy logic controllers to many challenging applications in particular in problems of structural control, that is the case study in this paper. It should be highlighted that this is the first application of general type-2 fuzzy approach in civil structures. In the following, general type-2 fuzzy logic controller (GT2FLC) will be used for active control of a 9-story nonlinear benchmark building. The design of type-1 and interval type-2 fuzzy logic controllers is also considered for the purpose of comparison with the GT2FLC. The performance of the controller is validated through the computer simulation on MATLAB. It is demonstrated that extra design degrees of freedom achieved by GT2FLC, allow a greater potential to better model and handle the uncertainties involved in the nature of earthquakes and control systems. GT2FLC outperforms successfully a control system that uses T1 and IT2 FLCs.
 
Key Words
    active control; general type-2 fuzzy logic controller; nonlinear benchmark structures; seismic vibration
 
Address
Department of Civil Engineering, Ferdowsi University of Mashhad, Azadi Square, Mashhad, Islamic Republic of Iran.
 
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