An optimal control problem for a generalized vibration system in estimating instantaneously the optimal control forces

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Abstract

The optimal control problems for a generalized vibration system based on the Conjugate Gradient Method is examined in the present study in estimating instantaneously the optimal control forces for a damped system such that the desire (or design) system displacements can be satisfied. The numerical experiments are performed to test the validity of the present algorithm by using three different types of desire system displacements. Results show that excellent estimations on the optimal control forces can be obtained simultaneously with arbitrary initial guesses within a couple of second's CPU time at Pentium III-500 MHz PC.

Original languageEnglish
Pages (from-to)327-347
Number of pages21
JournalJournal of the Franklin Institute
Volume340
Issue number5
DOIs
Publication statusPublished - 2003 Aug

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications
  • Applied Mathematics

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