Theoretical and Applied Mechanics Letters (Mar 2024)

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

  • Viet Duc La,
  • Ngoc Tuan Nguyen

Journal volume & issue
Vol. 14, no. 2
p. 100505

Abstract

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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.

Keywords