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Proceedings Paper

Adaptive backstepping control of a class of hysteretic systems
Author(s): Fayçal Ikhouane; Victor Mañosa; José Rodellar
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Paper Abstract

A backstepping-based adaptive control is designed for a class of one degree of freedom hysteretic system. The true hysteretic behavior does not need to be known for the controller design. A polynomial description is assumed with uncertain coefficients and an uncertain residual function. These uncertainties are bounded and lump the discrepancies between the adopted description and the real hysteretic behavior. The adaptive controller is able to handle these uncertainties and make the closed loop globally uniformly ultimately bounded when the system is subject to an unknown excitation from which a bound is known. The efficiency of the approach is tested by numerical simulations on a hysteretic system under a seismic excitation. This system is mathematically described by the differential Bouc-Wen model, which is widely used in structural dynamics.

Paper Details

Date Published: 1 August 2003
PDF: 10 pages
Proc. SPIE 5049, Smart Structures and Materials 2003: Modeling, Signal Processing, and Control, (1 August 2003); doi: 10.1117/12.482730
Show Author Affiliations
Fayçal Ikhouane, Univ. Politècnica de Catalunya (Spain)
Victor Mañosa, Univ. Politècnica de Catalunya (Spain)
José Rodellar, Univ. Politècnica de Catalunya (Spain)

Published in SPIE Proceedings Vol. 5049:
Smart Structures and Materials 2003: Modeling, Signal Processing, and Control
Ralph C. Smith, Editor(s)

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