Optimal l1 control for periodic systems under state feedback

Johannes Aubrecht, Petros G. Voulgaris

Research output: Contribution to journalArticlepeer-review


The paper considers the minimization of the l-induced norm of the closed loop in linear periodically time varying (LPTV) systems when state information is available for feedback. A state-space approach is taken and concepts of viability theory and controlled invariance are utilized. It is shown that a memoryless periodically varying nonlinear controller can be constructed to achieve near-optimal performance. The construction involves the solution of several finite linear programs and generalizes to the periodic case earlier work on linear time-invariant systems (LTI).

Original languageEnglish (US)
Pages (from-to)165-170
Number of pages6
JournalAmerican Society of Mechanical Engineers, Design Engineering Division (Publication) DE
StatePublished - 1996


  • Linear programming
  • Periodic
  • Viability
  • l-optimal

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Engineering(all)


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