Bilinear quadratic optimal control: A recursive approach

  • B. Chanane*
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

This paper deals with the time-varying bilinear quadratic optimal control problem. Using Adomian's decomposition method, we shall first derive a functional expansion for the input-output map of the system, then transform the cost functional so that it yields the optimal control in a recursive manner. The optimal tracking problem is considered to illustrate the theory. An alternative method is derived which is proved to be more 'robust'.

Original languageEnglish
Pages (from-to)273-282
Number of pages10
JournalOptimal Control Applications and Methods
Volume18
Issue number4
DOIs
StatePublished - 1997

Keywords

  • Adomian's decomposition
  • Functional expansion
  • Optimal control
  • Time-varying bilinear systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Control and Optimization
  • Applied Mathematics

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