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Title of Journal: Appl Math MechEngl Ed

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Abbravation: Applied Mathematics and Mechanics

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Shanghai University Press

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DOI

10.1002/cpa.3160030302

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1573-2754

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Design method of multiple timedelay controller fo

Authors: Longxiang Chen Guoping Cai
Publish Date: 2009/11/08
Volume: 30, Issue: 11, Pages: 1405-
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Abstract

An optimal control method for seismicexcited building structures with multiple time delays is investigated in this paper The system state equation with multiple time delays is discretized and transformed into a standard discrete form without any explicit time delay by a particular augmenting for state variables A timedelay controller is then designed based on this standard equation using the discrete optimal control method Effectiveness of the proposed controller is demonstrated by numerical simulations Simulation results indicate that a very small time delay may result in the instability of the control system if it is not compensated in the control design Time delay may be compensated effectively by the proposed controller in the mean time an effective control may be obtained The proposed controller is valid for both small and large time delaysProject supported by the National Natural Science Foundation of China Nos 10772112 10472065 the Key Project of Ministry of Education of China No 107043 the Key Scientific Project of Shanghai Municipal Education Commission No 09ZZ17 the Specialized Research Fund for the Doctoral Program of Higher Education of China No 20070248032 and the Research Project of State Key Laboratory of Ocean Engineering of China No GKZD010807

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