Vibration control of buildings using atmd against earthquake excitations through interval type-2 fuzzy logic controller

This study focuses on the application of interval type-2 FLC (IT2FLC) in active tuned mass damper (ATMD) for the control of a building modeled as a single degree of freedom (SDOF) system. Since taking the first mode of a structure gives a good approximation of the building response, a SDOF system which demonstrates the characteristics of the first structural mode is used. One of the main shortcomings of the type-1 fuzzy systems is their inability to consider uncertainty in fuzzy rules. IT2FLS has the ability to handle this problem. It also takes into account uncertainty in loading and structural behavior. To evaluate the efficiency of the proposed control method, an 11-storey realistic shear building is used. The IT2FLC is designed for the first mode characteristics of the mentioned structure for getting the maximum response reduction under different types of earthquake excitations. The results obtained by proposed control scheme were compared with those of uncontrolled structure, structure with TMD and structure with ATMD through type-1 FLC. Numerical results indicate that IT2FLC is very effective in reducing the structural responses compared with that of the type-1 FLC. It is also found that designing the proposed controller for the first structural mode can significantly reduce the structural response of realistic building.