Robust control of a vibrating plate using μ-synthesis approach

P. Li, Li Cheng, Y. Y. Li, N. Chen

Research output: Journal article publicationJournal articleAcademic researchpeer-review

18 Citations (Scopus)

Abstract

In this paper, the use of μ-synthesis technique for the vibration control of plate-like structures is investigated. First, a robust μ-controller is synthesized and the selection of weightings is discussed. Different from the conventional studies, the mathematical model between the disturbance force and the structure is not required during the controller design. A MIMO control system is built using dSPACE DS1103 platform. Then, MIMO experimental tests are performed. A H∞controller with same weightings is also designed and implemented for comparison purpose. Small masses are added to the structure to simulate parameter variations for the robustness investigation. Experimental results show that μ-controller can provide good disturbance rejection in the analyzed bandwidth and is more robust to parameter variations than H∞controller. The experimental findings of the present study using a MIMO μ-synthesis scheme are believed to be useful for the vibration control of more general thin-walled structures.
Original languageEnglish
Pages (from-to)973-986
Number of pages14
JournalThin-Walled Structures
Volume41
Issue number11
DOIs
Publication statusPublished - 1 Nov 2003

Keywords

  • μ-Synthesis
  • H control ∞
  • Parameter variation
  • Plate vibration
  • Robust control
  • Weighting function

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Building and Construction
  • Mechanical Engineering

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