Single Diophantine equation polynomial discrete-time H2 and H controller computation

Haipeng Zhao, Joseph Bentsman

Research output: Contribution to journalConference articlepeer-review


In (Zhao and Bentsman, 2002} it has been shown that for most singlein put-single-output linear discrete-time systems in polynomial format, a sequential solution of a Diophantine equation and an algebraic equation is, in theory, sufficient to calculate the corresponding H2 and H controllers, Based on the results of (Zhao and Bentsman, 2002), the present work gives procedures for determining the sufficiency of a single Diophantine equation for controller calculation and for the actual calculation of the optimal controllers. Controller computations for nonminimum phase unstable plants have been carried out with relative ease.

Original languageEnglish (US)
Pages (from-to)499-504
Number of pages6
JournalIFAC Proceedings Volumes (IFAC-PapersOnline)
Issue number11
StatePublished - 2003
Event4th IFAC Symposium on Robust Control Design, ROCOND 2003 - Milan, Italy
Duration: Jun 25 2003Jun 27 2003


  • Discrete-time systems
  • H optimal control
  • Polynomial methods
  • Quadratic optimal regulators
  • Robust control

ASJC Scopus subject areas

  • Control and Systems Engineering


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