Polynomial discrete-time SISO H2 and H controller synthesis: Single Diophantine equation solution

Haipeng Zhao, Joseph Bentsman

Research output: Contribution to journalConference articlepeer-review


Is solving a single Diophantine equation sufficient for synthesizing a polynomial discrete-time single-input-single-output (SISO) H controller? This has been a longstanding question practically important due to the pervasive use of the polynomial-based discrete-time SISO self-tuners. The present work gives the answer to this question through the development of a novel polynomial algebra based reduction methodology. This reduction technique is also applied to the discrete-time SISO polynomial H2 controller computation.

Original languageEnglish (US)
Pages (from-to)3446-3451
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - Dec 1 2002
Event41st IEEE Conference on Decision and Control - Las Vegas, NV, United States
Duration: Dec 10 2002Dec 13 2002

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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