Optimum active controlled SDOF structures under pulse-type ground motions via harmony search

Abstract

In this study, the active controlled single degree of freedom (SDOF) structures with 0.5, 1.0 and 2.0 s period are investigated under various pulse-type ground motions (1.5, 2.0, and 2.5 s) to optimally tune the parameters of proportional–integral–derivative (PID)-type controllers. The damping ratio value is assumed as 5%. The paper proposes a methodology to determine the proportional gain (Kp), integral gain (Ti), and derivative gain (Td) using Harmony Search algorithm (HS) which is one of the metaheuristic-based methods. The performance index of active controlled structures is the displacement feedback. Also, the control force limit as 50% of the total mass of the structure and the time delay effect 20 ms were considered in term of feasibility and stability of active controlled structures. According to the results, the optimum tuned PID controller parameters has major effects on the structural responses of SDOF structures. © 2021, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.