Optimal control of weakly coupled bilinear systems

Zijad Aganovic, Zoran Gajic

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


The optimization of the time-invariant bilinear weakly coupled system with a quadratic performance criterion is considered. A sequence of linear state and costate equations is constructed such that the open-loop solution of the optimization problem is obtained in terms of the reduced-order subsystems. This leads to a reduction in the size of the required computations and allows parallel processing of information. The near-optimal closed-loop control is obtained in the form of a linear feedback law, with the feedback gains calculated from two reduced-order independent time-varying linear-quadratic optimal control problems.

Original languageEnglish (US)
Pages (from-to)1591-1593
Number of pages3
Issue number6
StatePublished - Nov 1993

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


  • Bilinear systems
  • optimal control
  • order reduction
  • weak coupling


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