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. Active control of structures is one of the rapidly emerging areas in the concept of structural control. This paper presents a control method to deal with this subject when the dynamics of the structure is hysteretic and the parameters of the structure contain uncertainties. The hysteresis behavior of the structure 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 of adaptive sliding mode technique is that it does not use the uncertainty bounds in its controller; this is correspondent to the fact that the estimation of the structural parameters may not be exact. The efficiency of the proposed method is shown with a simulation.