Synthesis of Optimal Closed Systems

  • Authors:

  • R. Gabasov;F. M. Kirillova;N. V. Balashevich

  • Affiliations:

  • Belarus State University, Minsk, Belarus;Institute of Mathematics of the National Academy of Sciences of Belarus. kirill@nsys.minsk.by;Institute of Mathematics of the National Academy of Sciences of Belarus. balash@im.bas-net.by

  • Venue:
  • Cybernetics and Systems Analysis
  • Year:
  • 2002

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Abstract

Synthesis of optimal feedback, feedforward, and direct and combined coupling for nonlinear dynamic systems is considered in the paper. The method proposed is based on two procedures: a piecewise-linear approximation of the initial nonlinear problem and an asymptotic correction of the solution of a piecewise-linear problem. In its turn, the piecewise linear problem solution method is based on solution of a linear problem of optimal control and optimization for a finite parameter number. The results are illustrated by examples.