Synthesis of optimal H controllers via H2-based loop-shaping design

Ciann Dong Yang, Chia Yuan Chang

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


Synthesis of optimal H controllers is formulated as a loop-shaping problem where the desired closed-loop shape to be pursued is a uniform frequency response of the largest singular value. The weighted H2 optimization technique used in the linear quadratic Gaussian design with loop transfer recovery is exploited in the loop-shaping procedures to generate a sequence of H2 controllers converging to the optimal H2, controller. The resulting optimal H controller not only has the inherent robust property due to H criterion but also possesses the nice H control structure, being easy to compute and implement. A fighter example and a large space structure example are demonstrated to show that the numerical accuracy of the present H2-based H synthesis is comparable to the conventional H approach, i.e., γ-iteration, but with reduced computational efforts.

Original languageEnglish
Pages (from-to)878-885
Number of pages8
JournalJournal of Guidance, Control, and Dynamics
Issue number4
Publication statusPublished - 1996

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Aerospace Engineering
  • Space and Planetary Science
  • Electrical and Electronic Engineering
  • Applied Mathematics


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