H∞ fuzzy control of structural systems using Takagi-Sugeno fuzzy model

This paper proposed a design method of H^∞ control performance for structural systems using Takagi Sugeno (T-S) fuzzy model. The structural system with tuned mass damper was modeled by T-S type fuzzy model. By using parallel distributed compensation (PDC) scheme, we design a nonlinear fuzzy controller for the tuned mass damper system. This control problem could be reformulated into linear matrix inequalities (LMI) problem. Furthermore, the tuned mass damper could be designed according to the first mode of frequency of the control system and then the fuzzy controller could be found via Matlab LMI toolbox to stabilize the structural system. A simulation example was given to show the feasibility of the proposed fuzzy controller design method.