On the relationship between the problem of anisotropy-based controller synthesis and classical optimal control problems

  • Authors:
  • E. A. Maksimov

  • Affiliations:
  • Bauman Moscow State Technical University, Moscow, Russia

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2007

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Abstract

Consideration is given to the interrelation between different problems of $$\mathcal{H}_2 $$-and $$\mathcal{H}_\infty $$-optimization and their relationship with the theory of anisotropy-based control. It was shown that the anisotropy-based controller of the full order for the completely defined linear system minimizes the mean amount of the transmitted information between the input and output of the closed system.