Minimization of the peak-to-peak gain in periodic systems under full 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)10-20
Number of pages11
JournalJournal of Dynamic Systems, Measurement and Control, Transactions of the ASME
Issue number1
StatePublished - Mar 2001


  • L-Optimal
  • Linear programming
  • Periodic
  • Viability

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Information Systems
  • Instrumentation
  • Mechanical Engineering
  • Computer Science Applications


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