ON THE SENSITIVITY MINIMIZATION PROBLEM FOR LINEAR TIME-VARYING PERIODIC SYSTEMS.

Avraham Feintuch, Pramod Khargonekar, Allen Tannenbaum

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

An optimal control problem is formulated in the context of linear, discrete-time, periodic systems. The cost is the supremum over all exogenous inputs in a weighted ball of plant inputs. The controller is required to be causal, periodic of the fixed order of the system and to achieve internal stability. Existence of an optimal controller is proved and a formula for the minimum cost is derived.

Original languageEnglish
Pages (from-to)1076-1085
Number of pages10
JournalSIAM Journal on Control and Optimization
Volume24
Issue number5
DOIs
StatePublished - 1 Jan 1986

ASJC Scopus subject areas

  • Control and Optimization
  • Applied Mathematics

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