Vibration Attenuation of Nonlinear Hysteretic Structures with Fully Unknown Parameters

Natural hazards such as earthquakes have threatened the life of human beings during the history.As a consequence, the vibration mitigation of structures has caught great importance. Activecontrol of structures is one of the rapidly emerging areas in the concept of structural control. Thispaper presents a control method to deal with this subject when the dynamics of the structure ishysteretic and the parameters of the structure contain uncertainties. The hysteresis behavior of thestructure is modeled using Bouc-Wen equation and the uncertainty is considered in its parameters.For control purpose, sliding mode method and its adaptive version are used. The salient point ofadaptive sliding mode technique is that it does not use the uncertainty bounds in its controller; thisis correspondent to the fact that the estimation of the structural parameters may not be exact. Theefficiency of the proposed method is shown with a simulation.