Control-relevant model reduction problems for SISO H2, H, and μ-controller synthesis

Daniel E. Rivera, Manfred Morari

Research output: Contribution to journalArticlepeer-review

48 Scopus citations


The problem of model reduction in the context of control system design is investigated. Starting from closed-loop objectives (H2, H, and μ), equivalent weighted open-loop plant and controller reduction problems are developed. The control-relevant weight function incorporates explicitly all the important characteristics of the control problem, such as the setpoint/disturbance spectrum and the designer requirements for the sensitivity/complementary sensitivity functions, Furthermore, these control-relevant reduction problems are complemented with validation procedures that indicate rigorously the effects of the reduction problem on the desired performance objectives. A simple algorithm that uses standard regression routines is presented to solve these problems.

Original languageEnglish (US)
Pages (from-to)505-527
Number of pages23
JournalInternational Journal of Control
Issue number2
StatePublished - Aug 1987
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications


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