Adaptive block backstepping control for civil structures with unknown parameters subjected to seismic excitation

Summary This paper presents an active control scheme for structures with unknown parameters subjected to ground acceleration. It is assumed that the mass, stiffness and damping matrices are unknown to the designer, and no measurement of the ground acceleration is available. Instead, the displacement and velocity vectors are accessible for control purposes. Adaptive block backstepping is used to propose a control force vector which makes the response of the structure follow a predefined reference signal as closely as possible. The provided numerical examples in this paper show the admissible performance of the proposed closed-form solution for the control force. The benefits and drawbacks of this approach are discussed as well. Copyright © 2016 John Wiley & Sons, Ltd.

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