Robust controller synthesis for uncertain time-varying systems

Carol Pirie, Geir E Dullerud

Research output: Contribution to journalArticlepeer-review


In this paper we develop and present new convex synthesis conditions for robust performance in linear time-varying systems, subject to time-varying perturbations. In particular, these results are exact for sensitivity minimization in the presence of multiplicative perturbations. The methods apply to a number of additional robust performance problems and are always both necessary and sufficient when the system plant is periodic. Otherwise, the conditions provided are always sufficient, and a controller can be directly constructed when this condition holds.

Original languageEnglish (US)
Pages (from-to)1312-1331
Number of pages20
JournalSIAM Journal on Control and Optimization
Issue number4
StatePublished - 2002


  • Controller synthesis
  • Convex methods
  • Discrete-time system
  • Linear matrix inequality
  • Time-varying system
  • Uncertain system

ASJC Scopus subject areas

  • Control and Optimization
  • Applied Mathematics


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