Steady-state linear quadratic tracking controller for vibration suppression

Research output: Contribution to book or proceedingConference articlepeer-review

Abstract

This paper reports the design and implementation steps that have been investigated to suppress vibrations in slewing maneuvers of flexible structures under the steady-state linear-quadratic tracking (SS LQT) framework. The optimal LQT control law consists of the sum of two terms. One of the terms is computed by solving the Algebraic Riccati Equation, the second term involves a steady-state function vss(t) that solves an auxiliary, forced differential equation with unknown initial condition. The computation of v ss (t) can be determined by integrating the auxiliary differential equation backwards in time. For real-time applications, the backward in time method should be avoided. An alternate method can be used for the cases where a model-following reference signal is appropriate. In the present paper a methodology that can be used to design real-time SS LQT controllers for suppression of vibration in flexible beams in presented. A numerical example is included to illustrate the method.

Original languageEnglish
Title of host publicationProceedings of the Eight IASTED International Conference on Control and Applications
Pages214-217
Number of pages4
StatePublished - 2006
EventEight IASTED International Conference on Control and Applications - Montreal, QC, Canada
Duration: May 24 2006May 26 2006

Publication series

NameProceedings of the Eight IASTED International Conference on Control and Applications
Volume2006

Conference

ConferenceEight IASTED International Conference on Control and Applications
Country/TerritoryCanada
CityMontreal, QC
Period05/24/0605/26/06

Keywords

  • Flexible structures
  • Linear-quadratic methods
  • Tracking
  • Vibration suppression

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