Vibration Attenuation of Nonlinear Hysteretic Structures with Fully Unknown Parameters


1 1Department of Electrical Engineering. Ahar Branch, Islamic Azad University, Ahar, Iran

2 Department of Control Engineering, Faculty of Electrical and Computer Engineering, University of Tabriz, , Tabriz, Iran


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.


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