Multi-input control design for a constrained bilinear biquadratic regulator with external excitation

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Abstract

This study addresses an optimal control problem that is defined for a type of bilinear excited plant, multiple control inputs, a biquadratic finite horizon performance index, and control trajectory constraints. A novel sequence of improving functions, which suits this problem, is derived, and the corresponding Krotov's algorithm is formulated. The significance of the results is illustrated by a structural control design for a structure that is subjected to a harmonic ground acceleration input and semi-active control constraints.

Original languageEnglish
Pages (from-to)1045-1053
Number of pages9
JournalOptimal Control Applications and Methods
Volume40
Issue number6
DOIs
StatePublished - 1 Nov 2019

Keywords

  • Krotov's method
  • bilinear biquadratic regulator
  • constrained optimization
  • feedback
  • optimal control
  • semi-active control

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