Multi-Input Shaping for a Multi-Mode Vibratory Structure using Deadbeat Control Theory

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A general approach of the multi-input shaping for an underdamped flexible structure is developed using the deadbeat control theory, which states that a discrete-time system can be made to reach the desired position in a minimum time by placing all the poles at the origin of z-plane. It is shown that this theory can also be used to minimize sensitivities to uncertainties in natural frequencies and modal damping ratios. Numerical results are presented for a spring mass model, and a finite element model of a tetrahedral truss structure. These examples deal with cases of number of inputs being equal to number of modes, and also non-integer ratio of numbers of states and inputs.

Original languageEnglish (US)
Title of host publication34th Conference on Mechanical Vibration and Sound (VIB)
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Electronic)9780791886311
DOIs
StatePublished - 2022
EventASME 2022 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2022 - St. Louis, United States
Duration: Aug 14 2022Aug 17 2022

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
Volume10

Conference

ConferenceASME 2022 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2022
Country/TerritoryUnited States
CitySt. Louis
Period8/14/228/17/22

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modeling and Simulation

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