Uniformly optimal control of linear time-varying systems

A. Feintuch; B. A. Francis

doi:10.1016/0167-6911(84)90011-2

Uniformly optimal control of linear time-varying systems

A. Feintuch, B. A. Francis

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

An optimal control problem is formulated in the context of linear, discrete-time, time-varying systems. The cost is the supremum, over all exogenous inputs in a weighted ball, of the sum of the weighted energies of the plant's input and output. The controller is required to be causal and to achieve internal stability. Existence of an optical controller is proved and a formula for the minimum cost is derived.

Original language	English
Pages (from-to)	67-71
Number of pages	5
Journal	Systems and Control Letters
Volume	5
Issue number	1
DOIs	https://doi.org/10.1016/0167-6911(84)90011-2
State	Published - 1 Jan 1984

Keywords

Causal controllers
Operator-theoretic approach
Optimal control
Time-varying systems
Uniform optimality

ASJC Scopus subject areas

Control and Systems Engineering
General Computer Science
Mechanical Engineering
Electrical and Electronic Engineering

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10.1016/0167-6911(84)90011-2

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title = "Uniformly optimal control of linear time-varying systems",

abstract = "An optimal control problem is formulated in the context of linear, discrete-time, time-varying systems. The cost is the supremum, over all exogenous inputs in a weighted ball, of the sum of the weighted energies of the plant's input and output. The controller is required to be causal and to achieve internal stability. Existence of an optical controller is proved and a formula for the minimum cost is derived.",

keywords = "Causal controllers, Operator-theoretic approach, Optimal control, Time-varying systems, Uniform optimality",

author = "A. Feintuch and Francis, {B. A.}",

note = "Funding Information: * This work was supported by the Natural Sciences and En-gineering Research Council of Canada, Grant No. A17i5. This work was done when the first author was visiting the Dept. of Electrical Engineering at University of Waterloo. The author would like to thank Prof. Francis and the depart-ment for providing support for this visit.",

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AU - Francis, B. A.

N1 - Funding Information: * This work was supported by the Natural Sciences and En-gineering Research Council of Canada, Grant No. A17i5. This work was done when the first author was visiting the Dept. of Electrical Engineering at University of Waterloo. The author would like to thank Prof. Francis and the depart-ment for providing support for this visit.

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N2 - An optimal control problem is formulated in the context of linear, discrete-time, time-varying systems. The cost is the supremum, over all exogenous inputs in a weighted ball, of the sum of the weighted energies of the plant's input and output. The controller is required to be causal and to achieve internal stability. Existence of an optical controller is proved and a formula for the minimum cost is derived.

AB - An optimal control problem is formulated in the context of linear, discrete-time, time-varying systems. The cost is the supremum, over all exogenous inputs in a weighted ball, of the sum of the weighted energies of the plant's input and output. The controller is required to be causal and to achieve internal stability. Existence of an optical controller is proved and a formula for the minimum cost is derived.

KW - Causal controllers

KW - Operator-theoretic approach

KW - Optimal control

KW - Time-varying systems

KW - Uniform optimality

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DO - 10.1016/0167-6911(84)90011-2

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JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 1

ER -

Uniformly optimal control of linear time-varying systems

Abstract

Keywords

ASJC Scopus subject areas

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