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TECHNICAL BRIEFS

Adaptive Control of a Base Isolated System for Protection of Building Structures

[+] Author and Article Information
Jing Zhou

School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798zhoujing@pmail.ntu.edu.sg

Changyun Wen

School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798ecywen@ntu.edu.sg

Wenjian Cai

School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798ewjcai@ntu.edu.sgi

J. Vib. Acoust 128(2), 261-268 (Nov 03, 2005) (8 pages) doi:10.1115/1.2159044 History: Received April 14, 2005; Revised November 03, 2005

In this paper, we present two adaptive backstepping control algorithms for a second-order uncertain hysteretic structural system found in base isolation scheme for seismic active protection of building structures. The hysteretic nonlinear behavior is described by a Bouc–Wen model. The structural parameters and isolation parameters are all uncertain parameters. In the first scheme, there is no apriori information required from these parameters and the residual effect of the hysteresis is treated as a bounded disturbance. An update law is used to estimate the bound involving this partial hysteresis effect and external disturbance. In the second scheme, we further take the structure of the Bouc–Wen model describing the hysteresis into account in the controller design, if apriori knowledge on some parameters of the model is available. It is shown that not only is global stability guaranteed by the proposed controller, but also both transient and asymptotic performances are quantified as explicit functions of the design parameters so that designers can tune the design parameters in an explicit way to obtain the required closed loop behavior.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 1

Base isolation system (a) and physical model (b)

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Figure 2

Earthquake ground acceleration

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Figure 3

Hysteresis identification

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Figure 4

Time history of state variables (without control: dashed line; with Scheme I: solid line). (a) Displacement x1, (b) velocity x2

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Figure 5

Time history of state variables (Scheme I: solid line; Scheme in (1): dashed line). (a) With Scheme I, (b) with Scheme II

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Figure 6

Control u(t)∕m (a) with Scheme I, (b) with Scheme II

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Figure 7

Time history of hysteresis (a) true hysteresis Φ: solid line; approximated hysteresis Φ: dashed line. (b) True hysteresis Φ: solid line; Φ−Φ¯: dotted line

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Figure 8

Time history of state variables (without control: dashed line; with Scheme II: solid line). (a) Displacement x1, (b) velocity x2

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Figure 9

Time history of state variables (Scheme II: solid line; Scheme in (1): dashed line). (a) Displacement x1, (b) velocity x2

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Figure 10

Time history of acceleration ẍ(m2∕s). (a) With Scheme I, (b) with Scheme II

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