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

作　　者：Viet Duc La Ngoc Tuan Nguyen 

机构地区：[1]Institute of Mechanics,Vietnam Academy of Science and Technology,Hanoi 10000,Vietnam [2]Graduate University of Science and Technology,Vietnam Academy of Science and Technology,Hanoi 10000,Vietnam

出　　处：《Theoretical & Applied Mechanics Letters》2024年第2期142-145,共4页力学快报（英文版）

基　　金：supported by Vietnam Academy of Science and Technology(Grant No.VAST01.04/22-23)。

摘　　要：This paper studies a single degree of freedom system under free vibration and controlled by a general semiactive 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.

关 键 词：Analytical optimization Quadratic integral Lyapunov equation Pontryagin maximum principle 

分 类 号：O32[理学—一般力学与力学基础]