Truly optimal semi-active damping to control free vibration of a single degree of freedom system

被引:0
作者
La, Viet Duc [1 ,2 ]
Nguyen, Ngoc Tuan [2 ]
机构
[1] Vietnam Acad Sci & Technol, Inst Mech, Hanoi 10000, Vietnam
[2] Vietnam Acad Sci & Technol, Grad Univ Sci & Technol, Hanoi 10000, Vietnam
关键词
Analytical optimization; Quadratic integral; Lyapunov equation; Pontryagin maximum principle; NONLINEAR DYNAMICAL ANALYSIS; OPTIMIZATION;
D O I
10.1016/j.taml.2024.100505
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
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.
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页数:4
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