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《Journal of Vibration and Shock》 2007-08
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DISCRETE TIME-DELAY OPTIMAL CONTROL OF STRUCTURES USING THE BALANCED REDUCTION SCHEME

YU Xiao ZHANG Wen-shou LIN Jia-hao SONG Gang(State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China)  
The time-delay discrete equations are derived directly form the differential vibration equations of structures in state space which are transformed to a standard form containing no explicit time-delay terms by introducing an expanded state vector. The balanced reduction method is then applied to the discrete system and a dominant subsystem is formed based on the eigenmodes of the state subspace with higher controllability, and so the order of the discrete system is reduced considerably. The controller is designed with the discrete time-delay optimal control theory, which contains the control terms of the current state and a few previous states which reflect the influence of time-delay. The proposed means considerably reduce the order of the controller without causing essential difference in the control effect. A numerical example shows the effectiveness of the proposed method, which is so even if time-delays are rather large.
【Fund】: 国家自然科学基金(No10472023);; 教育部高等学校博士点专项科研基金(No20040141020)资助
【CateGory Index】: TU311.3
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【Citations】
Chinese Journal Full-text Database 2 Hits
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【Co-citations】
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1 Li Jixin1,2 (1.Dept.of Teaching & Researching,Naval Flying Academy,Huludao 125001,China; 2.Administrant Brigade of Postgraduate,Naval Aeronautical & Astronautical University,Yantai 264001,China);μ Robust Control of Aircraft Pitch Attitude[J];Ordnance Industry Automation;2011-03
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1 SONG Gang , TAN Shu-jun , LIN Jia-hao (State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China);Time-varying LQG control of coupled vehicle-bridge systems based on a symplectic conservative perturbation method[A];[C];2007
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