Normalized H controller reduction with a priori error bounds

H. M.H. El-Zobaidi, I. M. Jaimoukha, D. J.N. Limebeer

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


This note describes an approach to the reduction of controllers for the normalized coprime factor robustness problem as well as the normalized H problem. It is shown that a relative error approximation of a coprime factor representation of any suboptimal controller leads to a stability guarantee and an upper bound on the performance degradation when the reduced order controller is implemented. When the approximation is performed on the controller generator, guaranteed a priori stability and performance bounds are obtained in terms of the synthesis Riccati equation solutions of the normalized H control problems.

Original languageEnglish
Pages (from-to)1477-1483
Number of pages7
JournalIEEE Transactions on Automatic Control
Issue number9
Publication statusPublished - Sept 2001
Externally publishedYes


  • Controller reduction
  • H control

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


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