Stabilization of a rotating disk-beam system with infinite memory via minimal state variable: A moment control case

Zhong Jie Han, Boumediene Chentouf*, Huan Geng

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

This paper deals with the stabilization problem of the rotating disk-beam system with infinite memory in the moment control. A linear feedback law is proposed, which consists of a torque control and a moment control with an infinite memory term. It is shown that the closed-loop system is well-posed and exponentially stable provided that the desired constant angular velocity and the memory kernel function satisfy certain conditions. The main ingredient of the proof is the frequency-domain method. Numerical simulations are also put forward to validate the results.

Original languageEnglish
Pages (from-to)845-865
Number of pages21
JournalSIAM Journal on Control and Optimization
Volume58
Issue number2
DOIs
Publication statusPublished - 2020
Externally publishedYes

Keywords

  • Exponential stability
  • Frequency multiplier domain method
  • Infinite memory
  • Moment control
  • Rotating disk-beam
  • Torque control

ASJC Scopus subject areas

  • Control and Optimization
  • Applied Mathematics

Cite this