Uniformly optimal control of linear feedback systems

A. Feintuch; B. A. Francis

doi:10.1016/0005-1098(85)90005-6

Uniformly optimal control of linear feedback systems

A. Feintuch, B. A. Francis

Department of Mathematics

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

59 Scopus citations

Abstract

The problem of uniformly optimal control is posed in the context of linear time-varying discrete-time systems; the controller is optimal uniformly over a pre-specified set of exogenous signals. Existence of an optimal controller is proved and a formula for the minimum cost is derived. The time-invariant case is treated in the frequency domain. It is shown that for time-invariant systems an optimal time-varying controller is no better than an optimal time-invariant controller.

Original language	English
Pages (from-to)	563-574
Number of pages	12
Journal	Automatica
Volume	21
Issue number	5
DOIs	https://doi.org/10.1016/0005-1098(85)90005-6
State	Published - 1 Jan 1985

Keywords

Multivariable control systems
functional analysis
optimal control
regulator theory
time-varying systems

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

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10.1016/0005-1098(85)90005-6

Cite this

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AB - The problem of uniformly optimal control is posed in the context of linear time-varying discrete-time systems; the controller is optimal uniformly over a pre-specified set of exogenous signals. Existence of an optimal controller is proved and a formula for the minimum cost is derived. The time-invariant case is treated in the frequency domain. It is shown that for time-invariant systems an optimal time-varying controller is no better than an optimal time-invariant controller.

KW - Multivariable control systems

KW - functional analysis

KW - optimal control

KW - regulator theory

KW - time-varying systems

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Uniformly optimal control of linear feedback systems

Abstract

Keywords

ASJC Scopus subject areas

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