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Journal of Vibration and Control
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Adaptive Backstepping Control of Hysteretic Base-Isolated Structures

Francesc Pozo

Escola Universitària d’Enginyeria Tècnica Industrial de Barcelona, Universitat Politècnica de Catalunya, Comte d’Urgell, 187. 08036 Barcelona, Spain, francesc.pozo{at}upc.edu

Fayçll Ikhouane

Escola Universitària d’Enginyeria Tècnica Industrial de Barcelona, Universitat Politècnica de Catalunya, Comte d’Urgell, 187. 08036 Barcelona, Spain

Gisela Pujol

Escola Universitària d’Enginyeria Tècnica Industrial de Barcelona, Universitat Politècnica de Catalunya, Comte d’Urgell, 187. 08036 Barcelona, Spain

José Rodellar

Departament de Matemàtica Aplicada III, Universitat Politècnica de Catalunya, Jordi Girona, 1-3. 08034 Barcelona, Spain, jose.rodellar{at}upc.edu

The paper considers a hybrid seismic control system for building structures, which combines a class of passive nonlinear base isolator with an active control system. The objective of the active component is to keep the base displacement relative to the ground, the interstory drift and the absolute acceleration within appropriate ranges. The base isolator device exhibits a hysteretic nonlinear behavior which is described by the Bouc-Wen model. The adaptive backstepping approach is used for the control design in order to cope with the nonlinearity and the presence of uncertainties. The control problem is formulated with representations of the system dynamics using two alternative coordinate sets: absolute (with respect to an inertial frame) and relative to the ground. A comparison between the two strategies is presented by means of numerical simulations.

Key Words: Adaptive backstepping • hybrid control • base isolation • Bouc-Wen model

Journal of Vibration and Control, Vol. 12, No. 4, 373-394 (2006)
DOI: 10.1177/1077546306063254
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