1-Optimal control for multirate systems under full state feedback

Johannes Aubrecht, Petros G. Voulgaris

Research output: Contribution to journalArticlepeer-review


This paper considers the minimization of the ℓ-induced norm of the closed loop in linear multirate systems when full state information is available for feedback. A state-space approach is taken and concepts of viability theory and controlled invariance are utilized. The essential idea is to construct a set such that the state may be confined to that set and that such a confinement guarantees that the output satisfies the desired output norm conditions. Once such a set is computed, it is shown that a memoryless nonlinear controller results, which achieves near-optimal performance. The construction involves the solution of several finite linear programs and generalizes to the multirate case earlier work on linear time-invariant (LTI) systems.

Original languageEnglish (US)
Pages (from-to)555-586
Number of pages32
Issue number5
StatePublished - 1999

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Theoretical Computer Science
  • Information Systems
  • Artificial Intelligence
  • Electrical and Electronic Engineering


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