STRUCTURAL VIBRATION MITIGATION USING DISSIPATIVE SMART DAMPING DEVICES

Abstract eng:
An important problem in semiactive control of structures using smart damping devices for vibration mitigation is the development of an efficient control algorithm which accounts for the dissipative characteristics of the device. For smart dampers, the dissipative nature is represented as a nonlinear inequality constraint, which cannot be directly imposed on available control strategies using standard techniques. In this paper, linear matrix inequality (LMI) based methods are investigated to include the nonlinear dissipativity constraint in the linear quadratic regulator (LQR) problem to be used in the semiactive control of structures. First, the LQR problem is defined as an eigenvalue problem (EVP) in terms of LMIs. Then, the dissipativity constraint is appended to the EVP in its weak expected value form. The final control algorithm and the effects of the dissipativity constraint are investigated analyzing a 2DOF structure using an ideal semiactive damper. It is found that, the proposed method increases the dissipative nature of the forces considerably compared to conventional LQR approach.

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