Machine-Learning Based Optimal Seismic Control of Structure with Active Mass Damper

In recent years, optimal control which minimizes a cost function formulated by weighted states and control inputs has been applied to the seismic control of structures. Optimal control requires structural states which may not be available in real application; therefore, state estimation is essential...

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Main Authors: Pei-Ching Chen, Kai-Yi Chien
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/10/15/5342
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author Pei-Ching Chen
Kai-Yi Chien
author_facet Pei-Ching Chen
Kai-Yi Chien
author_sort Pei-Ching Chen
collection DOAJ
description In recent years, optimal control which minimizes a cost function formulated by weighted states and control inputs has been applied to the seismic control of structures. Optimal control requires structural states which may not be available in real application; therefore, state estimation is essential, which inevitably takes additional computation time. However, time delay and state estimate error could affect the control performance. In this study, a multilayer perceptron (MLP) model and an autoregressive with exogenous inputs (ARX) model in machine learning are applied to learn the control force generated from a linear-quadratic regulator (LQR) with weighting matrices optimized by applying symbiotic organisms search algorithm. A 10-story building is adopted as a benchmark model for training and validation of the MLP and ARX models. Numerical simulation results demonstrate that the MLP and ARX models are able to emulate the LQR control force from the acceleration response directly, indicating that state estimation is not essential for optimal control implementation in real application. Finally, the machine-learning based approach is experimentally validated by conducting shake table testing in the laboratory in which the structural model is controlled by an active mass damper. The experimental results and structural control performance of the MLP and ARX models are compared with those of the LQR with a Kalman filter.
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spelling doaj.art-86f4c664c2fd43f9877dd3cb83958acd2023-11-20T08:52:37ZengMDPI AGApplied Sciences2076-34172020-08-011015534210.3390/app10155342Machine-Learning Based Optimal Seismic Control of Structure with Active Mass DamperPei-Ching Chen0Kai-Yi Chien1Department of Civil and Construction Engineering, National Taiwan University of Science and Technology, Taipei City 10607, TaiwanDepartment of Civil and Construction Engineering, National Taiwan University of Science and Technology, Taipei City 10607, TaiwanIn recent years, optimal control which minimizes a cost function formulated by weighted states and control inputs has been applied to the seismic control of structures. Optimal control requires structural states which may not be available in real application; therefore, state estimation is essential, which inevitably takes additional computation time. However, time delay and state estimate error could affect the control performance. In this study, a multilayer perceptron (MLP) model and an autoregressive with exogenous inputs (ARX) model in machine learning are applied to learn the control force generated from a linear-quadratic regulator (LQR) with weighting matrices optimized by applying symbiotic organisms search algorithm. A 10-story building is adopted as a benchmark model for training and validation of the MLP and ARX models. Numerical simulation results demonstrate that the MLP and ARX models are able to emulate the LQR control force from the acceleration response directly, indicating that state estimation is not essential for optimal control implementation in real application. Finally, the machine-learning based approach is experimentally validated by conducting shake table testing in the laboratory in which the structural model is controlled by an active mass damper. The experimental results and structural control performance of the MLP and ARX models are compared with those of the LQR with a Kalman filter.https://www.mdpi.com/2076-3417/10/15/5342machine learningmultilayer perceptronautoregressive neural networkoptimal controlactive mass damperseismic performance
spellingShingle Pei-Ching Chen
Kai-Yi Chien
Machine-Learning Based Optimal Seismic Control of Structure with Active Mass Damper
Applied Sciences
machine learning
multilayer perceptron
autoregressive neural network
optimal control
active mass damper
seismic performance
title Machine-Learning Based Optimal Seismic Control of Structure with Active Mass Damper
title_full Machine-Learning Based Optimal Seismic Control of Structure with Active Mass Damper
title_fullStr Machine-Learning Based Optimal Seismic Control of Structure with Active Mass Damper
title_full_unstemmed Machine-Learning Based Optimal Seismic Control of Structure with Active Mass Damper
title_short Machine-Learning Based Optimal Seismic Control of Structure with Active Mass Damper
title_sort machine learning based optimal seismic control of structure with active mass damper
topic machine learning
multilayer perceptron
autoregressive neural network
optimal control
active mass damper
seismic performance
url https://www.mdpi.com/2076-3417/10/15/5342
work_keys_str_mv AT peichingchen machinelearningbasedoptimalseismiccontrolofstructurewithactivemassdamper
AT kaiyichien machinelearningbasedoptimalseismiccontrolofstructurewithactivemassdamper