Application of MR Damper in Structural Control Using Genetic Algorithm and Fuzzy Logic PID Tuning Methods

Abstract

In this paper, the application of MR damper in structure control using PID tuning based on genetic algorithms and fuzzy logic is developed and used to control the vibrations of based-excited linear and nonlinear single degree-of freedom-systems, which represent building structures subjected to earthquake loading and are excited by means of the El Centro earthquake. For GA method, the fitness function, which is based on these three constraint conditions: the control variable, the error and the rise-time, is chosen in order to apply genetic algorithms to optimize the coefficients of a PID controller. For the fuzzy control, the PID parameters are found using fuzzy self-tuning for the fuzzy logic relationship between the parameters of PID control and the controller input variables e and ec . The adaptive fuzzy PID control, which uses the error e and the change of the error ec as the input variables, modifies the three PID parameters on line based on the fuzzy control principle. The Bouc-Wen model of MR damper is used to simulate the MR damper characteristics. The simulation results demonstrate that the MR damper, used in conjunction with PID tuning control is effective for controlling the vibration of the structure.