Adaptive Semiactive Cable Vibration Control: A Frequency Domain Perspective

An adaptive solution to semiactive control of cable vibration is formulated by extending the linear quadratic Gaussian (LQG) control from time domain to frequency domain. Frequency shaping is introduced via the frequency dependent weights in the cost function to address the control effectiveness and...

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Main Authors: Z. H. Chen, Y. Q. Ni
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2017/2593503
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author Z. H. Chen
Y. Q. Ni
author_facet Z. H. Chen
Y. Q. Ni
author_sort Z. H. Chen
collection DOAJ
description An adaptive solution to semiactive control of cable vibration is formulated by extending the linear quadratic Gaussian (LQG) control from time domain to frequency domain. Frequency shaping is introduced via the frequency dependent weights in the cost function to address the control effectiveness and robustness. The Hilbert-Huang transform (HHT) technique is further synthesized for online tuning of the controller gain adaptively to track the cable vibration evolution, which also obviates the iterative optimal gain selection for the trade-off between control performance and energy in the conventional time domain LQG (T-LQG) control. The developed adaptive frequency-shaped LQG (AF-LQG) control is realized by collocated self-sensing magnetorheological (MR) dampers considering the nonlinear damper dynamics for force tracking control. Performance of the AF-LQG control is numerically validated on a bridge cable transversely attached with a self-sensing MR damper. The results demonstrate the adaptivity in gain tuning of the AF-LQG control to target for the dominant cable mode for vibration energy dissipation, as well as its enhanced control efficacy over the optimal passive MR damping control and the T-LQG control for different excitation modes and damper locations.
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spelling doaj-art-c869af2c35ec4f9888b9fdfba1c8eca22025-02-03T07:23:48ZengWileyShock and Vibration1070-96221875-92032017-01-01201710.1155/2017/25935032593503Adaptive Semiactive Cable Vibration Control: A Frequency Domain PerspectiveZ. H. Chen0Y. Q. Ni1College of Civil Engineering, Fuzhou University, Fuzhou 350116, ChinaDepartment of Civil and Environmental Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong KongAn adaptive solution to semiactive control of cable vibration is formulated by extending the linear quadratic Gaussian (LQG) control from time domain to frequency domain. Frequency shaping is introduced via the frequency dependent weights in the cost function to address the control effectiveness and robustness. The Hilbert-Huang transform (HHT) technique is further synthesized for online tuning of the controller gain adaptively to track the cable vibration evolution, which also obviates the iterative optimal gain selection for the trade-off between control performance and energy in the conventional time domain LQG (T-LQG) control. The developed adaptive frequency-shaped LQG (AF-LQG) control is realized by collocated self-sensing magnetorheological (MR) dampers considering the nonlinear damper dynamics for force tracking control. Performance of the AF-LQG control is numerically validated on a bridge cable transversely attached with a self-sensing MR damper. The results demonstrate the adaptivity in gain tuning of the AF-LQG control to target for the dominant cable mode for vibration energy dissipation, as well as its enhanced control efficacy over the optimal passive MR damping control and the T-LQG control for different excitation modes and damper locations.http://dx.doi.org/10.1155/2017/2593503
spellingShingle Z. H. Chen
Y. Q. Ni
Adaptive Semiactive Cable Vibration Control: A Frequency Domain Perspective
Shock and Vibration
title Adaptive Semiactive Cable Vibration Control: A Frequency Domain Perspective
title_full Adaptive Semiactive Cable Vibration Control: A Frequency Domain Perspective
title_fullStr Adaptive Semiactive Cable Vibration Control: A Frequency Domain Perspective
title_full_unstemmed Adaptive Semiactive Cable Vibration Control: A Frequency Domain Perspective
title_short Adaptive Semiactive Cable Vibration Control: A Frequency Domain Perspective
title_sort adaptive semiactive cable vibration control a frequency domain perspective
url http://dx.doi.org/10.1155/2017/2593503
work_keys_str_mv AT zhchen adaptivesemiactivecablevibrationcontrolafrequencydomainperspective
AT yqni adaptivesemiactivecablevibrationcontrolafrequencydomainperspective