Closed formulae for a parametric mixed sensitivity problem

E. M. Kasenally, D. J.N. Limebeer

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

Mixed sensitivity optimization is a two block problem which normally requires an iterative solution. The purpose of this paper is to give an explicit closed formula for the optimal cost in the case of a parametric mixed sensitivity problem. We also show that all the controllers which satisfy an arbitrary H-norm bound may be parameterized in terms of the solutions to the standards H2 Riccati equations. We hope that these results will help progress towards closed formulae for the optimal cost in a wider class of problems.

Original languageEnglish
Pages (from-to)1-7
Number of pages7
JournalSystems and Control Letters
Volume12
Issue number1
DOIs
Publication statusPublished - Jan 1989
Externally publishedYes

Keywords

  • H-optimal control
  • mixed sensitivity
  • Optimal cost

ASJC Scopus subject areas

  • Control and Systems Engineering
  • General Computer Science
  • Mechanical Engineering
  • Electrical and Electronic Engineering

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