Single Diophantine equation solution of the discrete-time polynomial H2 and H control problems with a classical feedback structure

Haipeng Zhao, Joseph Bentsman

Research output: Contribution to journalArticlepeer-review

Abstract

The linear discrete-time polynomial optimal feedback control laws are typically obtained via simultaneous solution of two Diophantine equations. In the present work, a number-theory based technique is introduced that permits reduction of the polynomial controller synthesis procedures for the single-input-single-output (SISO) H2 and H regulation and tracking control problems with a classical feedback structure and plants with arbitrary stability properties to solving a single Diophantine equation. The technique proposed is also used to reduce the solution of the multi-input-multi-output (MIMO) generalized H control problem.

Original languageEnglish (US)
Pages (from-to)676-681
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume1
StatePublished - 2001
Externally publishedYes

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

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