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

Avraham Feintuch; Pramod Khargonekar; Allen Tannenbaum

doi:10.1137/0324064

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

Avraham Feintuch, Pramod Khargonekar, Allen Tannenbaum

Department of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1076-1085
Number of pages	10
Journal	SIAM Journal on Control and Optimization
Volume	24
Issue number	5
DOIs	https://doi.org/10.1137/0324064
State	Published - 1 Jan 1986

ASJC Scopus subject areas

Control and Optimization
Applied Mathematics

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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.",

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

Abstract

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