Design optimization considering the stability constraint of the Hedge-algebras-based controller for building structures subjected to seismic excitations

This study investigates a multi-objective optimal solution for active Hedge-algebras-based control of building structures subjected to earthquakes. The stability condition of the system is considered the constraint in the optimization process. Values in reference ranges of the state variables and the control variable of the Hedge-algebras-based controller are considered as design variables. The objective functions simultaneously minimize the system’s peak relative displacement and absolute acceleration. The simulation results show that the optimized Hedge-algebras-based controllers have a higher efficiency than the published studies for primary objectives: the structure’s peak relative displacement and absolute acceleration. In addition, the Pareto front, representing a trade-off level between the above primary objectives, allows selecting the appropriate configuration of the controller for the controlled models.