Minimum-time design of a slewing flexible beam

Xiaojian Liu, David W. Begg

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


This paper presents an alternative method for the "minimum-time" design for a slewing flexible beam. The two-point boundary problem involved, which incorporates nonlinearity of the rigid slew manoeuvre coupled with flexibility of the beam, is linearized and then decoupled using a mode shape based transformation. The rigid mode, which dominates the slew manoeuvre of the beam, is used to minimise the time of operation from an initial state to final desired state subject to the constrained input. A quadratic control input is suggested for the remaining flexible modes. It follows a combination of "bang-bang" and quadratic feedback control for the beam. The dynamic behaviour of the beam is handled by using a high precision integration finite element method. Numerical results show the high performance with respect to position and also the general applicability of the method.

Original languageEnglish
Title of host publicationEngineering, Construction, and Operations in Space V
PublisherAmerican Society of Civil Engineers (ASCE)
Number of pages10
ISBN (Print)0784401772, 9780784401774
Publication statusPublished - 1 Jun 1996
Event5th International Conference on Space - Albuquerque, United States
Duration: 1 Jun 19966 Jun 1996

Publication series

NameEngineering, Construction, and Operations in Space V


Conference5th International Conference on Space
Abbreviated titleSpace 1996
Country/TerritoryUnited States


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