首页|Truly optimal semi-active damping to control free vibration of a single degree of freedom system
Truly optimal semi-active damping to control free vibration of a single degree of freedom system
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This paper studies a single degree of freedom system under free vibration and controlled by a general semi-active damping.A general integral of squared error is considered as the performance index.A one-time switching damping controller is proposed and optimized.The pontryagin maximum principle is used to prove that no other form of semi-active damping can provide the better performance than the proposed one-time switching damping.
Analytical optimizationQuadratic integralLyapunov equationPontryagin maximum principle
Viet Duc La、Ngoc Tuan Nguyen
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Institute of Mechanics,Vietnam Academy of Science and Technology,Hanoi 10000,Vietnam
Graduate University of Science and Technology,Vietnam Academy of Science and Technology,Hanoi 10000,Vietnam
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