Fast Model Predictive Control Method for Large-Scale Structural Dynamic Systems: Computational Aspects

A fast and accurate model predictive control method is presented for dynamic systems representing large-scale structures. The fast model predictive control formulation is based on highly efficient computations of the state transition matrix, that is, the matrix exponential, using an improved precise...

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Main Authors: Haijun Peng, Qiang Gao, Zhigang Wu, Wanxie Zhong
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2014/508954
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author Haijun Peng
Qiang Gao
Zhigang Wu
Wanxie Zhong
author_facet Haijun Peng
Qiang Gao
Zhigang Wu
Wanxie Zhong
author_sort Haijun Peng
collection DOAJ
description A fast and accurate model predictive control method is presented for dynamic systems representing large-scale structures. The fast model predictive control formulation is based on highly efficient computations of the state transition matrix, that is, the matrix exponential, using an improved precise integration method. The enhanced efficiency for model predictive control is achieved by exploiting the sparse structure of the matrix exponential at each discrete time step. Accuracy is maintained using the precise integration method. Compared with the general model predictive control method, the reduced central processing unit (CPU) time required by the fast model predictive control scheme can result in a shorter control update interval and a lower online computational burden. Therefore, the proposed method is more efficient for large-scale structural dynamic systems.
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institution Kabale University
issn 1070-9622
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language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Shock and Vibration
spelling doaj-art-c5bbc388b9e142f994318dc39b5231f52025-02-03T05:49:57ZengWileyShock and Vibration1070-96221875-92032014-01-01201410.1155/2014/508954508954Fast Model Predictive Control Method for Large-Scale Structural Dynamic Systems: Computational AspectsHaijun Peng0Qiang Gao1Zhigang Wu2Wanxie Zhong3State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, ChinaState Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, ChinaState Key Laboratory of Structural Analysis for Industrial Equipment, School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116024, ChinaState Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, ChinaA fast and accurate model predictive control method is presented for dynamic systems representing large-scale structures. The fast model predictive control formulation is based on highly efficient computations of the state transition matrix, that is, the matrix exponential, using an improved precise integration method. The enhanced efficiency for model predictive control is achieved by exploiting the sparse structure of the matrix exponential at each discrete time step. Accuracy is maintained using the precise integration method. Compared with the general model predictive control method, the reduced central processing unit (CPU) time required by the fast model predictive control scheme can result in a shorter control update interval and a lower online computational burden. Therefore, the proposed method is more efficient for large-scale structural dynamic systems.http://dx.doi.org/10.1155/2014/508954
spellingShingle Haijun Peng
Qiang Gao
Zhigang Wu
Wanxie Zhong
Fast Model Predictive Control Method for Large-Scale Structural Dynamic Systems: Computational Aspects
Shock and Vibration
title Fast Model Predictive Control Method for Large-Scale Structural Dynamic Systems: Computational Aspects
title_full Fast Model Predictive Control Method for Large-Scale Structural Dynamic Systems: Computational Aspects
title_fullStr Fast Model Predictive Control Method for Large-Scale Structural Dynamic Systems: Computational Aspects
title_full_unstemmed Fast Model Predictive Control Method for Large-Scale Structural Dynamic Systems: Computational Aspects
title_short Fast Model Predictive Control Method for Large-Scale Structural Dynamic Systems: Computational Aspects
title_sort fast model predictive control method for large scale structural dynamic systems computational aspects
url http://dx.doi.org/10.1155/2014/508954
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AT qianggao fastmodelpredictivecontrolmethodforlargescalestructuraldynamicsystemscomputationalaspects
AT zhigangwu fastmodelpredictivecontrolmethodforlargescalestructuraldynamicsystemscomputationalaspects
AT wanxiezhong fastmodelpredictivecontrolmethodforlargescalestructuraldynamicsystemscomputationalaspects