On J‐Lossless coprime factorizations and H control

Mi‐Ching ‐C Tsai, Ian Postlethwaite

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)


This paper presents a relatively simple approach, based on chain scattering descriptions, to the synthesis of internally stabilizing controllers which result in a cost function with H norm strictly less than a prespecified bound. State‐space formulae for a generator of all suboptimal controllers are found by solving two coupled J‐lossless coprime factorizations of a chain scattering matrix description. A mixed‐sensitivity design problem is used to illustrate the solution procedure, and to demonstrate how in certain cases only one algebraic Riccati equation need be solved to get a solution.

Original languageEnglish
Pages (from-to)47-68
Number of pages22
JournalInternational Journal of Robust and Nonlinear Control
Issue number1
Publication statusPublished - 1991 Jan 1

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Chemical Engineering(all)
  • Biomedical Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering


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