Output feedback stabilisation of minimum phase systems by delays

Christopher Sangwin; A Ilchmann

doi:10.1016/j.sysconle.2004.02.001

Output feedback stabilisation of minimum phase systems by delays

Christopher Sangwin, A Ilchmann

Mathematics

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

20 Citations (Scopus)

Abstract

For linear, square, multi-input-multi-output, minimum-phase, relative-degree one or two systems, proportional output feedback controllers are studied. In particular, we show that derivative feedback can be replaced by delay feedback, essentially an Euler approximation of the derivative, if the delay is sufficiently small. Stability regions are determined and related. (C) 2004 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	233-245
Number of pages	13
Journal	Systems and Control Letters
Volume	52
Issue number	3-4
DOIs	https://doi.org/10.1016/j.sysconle.2004.02.001
Publication status	Published - 1 Jul 2004

Keywords

relative degree two
output feedback stabilisation
minimum phase systems
delay-feedback

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10.1016/j.sysconle.2004.02.001

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abstract = "For linear, square, multi-input-multi-output, minimum-phase, relative-degree one or two systems, proportional output feedback controllers are studied. In particular, we show that derivative feedback can be replaced by delay feedback, essentially an Euler approximation of the derivative, if the delay is sufficiently small. Stability regions are determined and related. (C) 2004 Elsevier B.V. All rights reserved.",

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AB - For linear, square, multi-input-multi-output, minimum-phase, relative-degree one or two systems, proportional output feedback controllers are studied. In particular, we show that derivative feedback can be replaced by delay feedback, essentially an Euler approximation of the derivative, if the delay is sufficiently small. Stability regions are determined and related. (C) 2004 Elsevier B.V. All rights reserved.

KW - relative degree two

KW - output feedback stabilisation

KW - minimum phase systems

KW - delay-feedback

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DO - 10.1016/j.sysconle.2004.02.001

M3 - Article

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SP - 233

EP - 245

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 3-4

ER -

Output feedback stabilisation of minimum phase systems by delays

Abstract

Keywords

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