Generalized H2 Control Synthesis for Periodic Systems

Rafal Wisniewski; Jakob Stoustrup

doi:10.1109/ACC.2001.946263

Generalized H2 Control Synthesis for Periodic Systems

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11 Citations (Scopus)

Abstract

A control synthesis of periodic processes is addressed in this paper. A class of linear discrete time periodic systems with performance specified by the generalized $H_2$ operator norm, is considered. The paper proposes an LMI solution to this problem, the sufficient and necessary conditions for solvability of $H_2$ suboptimal control are stated. An algorithm for state feedback control synthesis is provided. The findings are applied for the attitude control of a satellite equipped with electro-magnetic coils, which comprises a very attractive means of attitude corrections for small low-cost spacecraft missions.

Original language	Danish
Title of host publication	ACC 2001, Arlington, Virginia
Publication date	2001
DOIs	https://doi.org/10.1109/ACC.2001.946263
Publication status	Published - 2001
Event	ACC 2001 - Arlington, Virginia, United States Duration: 25 Jun 2001 → 27 Jun 2001

Conference

Conference	ACC 2001
Country/Territory	United States
City	Arlington, Virginia
Period	25/06/2001 → 27/06/2001

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10.1109/ACC.2001.946263

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Cite this

@inproceedings{f21671209c2d11db8ed6000ea68e967b,

title = "Generalized H2 Control Synthesis for Periodic Systems",

abstract = "A control synthesis of periodic processes is addressed in this paper. A class of linear discrete time periodic systems with performance specified by the generalized $H_2$ operator norm, is considered. The paper proposes an LMI solution to this problem, the sufficient and necessary conditions for solvability of $H_2$ suboptimal control are stated. An algorithm for state feedback control synthesis is provided. The findings are applied for the attitude control of a satellite equipped with electro-magnetic coils, which comprises a very attractive means of attitude corrections for small low-cost spacecraft missions.",

author = "Rafal Wisniewski and Jakob Stoustrup",

year = "2001",

doi = "10.1109/ACC.2001.946263",

language = "Dansk",

booktitle = "ACC 2001, Arlington, Virginia",

note = "ACC 2001 ; Conference date: 25-06-2001 Through 27-06-2001",

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T1 - Generalized H2 Control Synthesis for Periodic Systems

AU - Wisniewski, Rafal

AU - Stoustrup, Jakob

PY - 2001

Y1 - 2001

N2 - A control synthesis of periodic processes is addressed in this paper. A class of linear discrete time periodic systems with performance specified by the generalized $H_2$ operator norm, is considered. The paper proposes an LMI solution to this problem, the sufficient and necessary conditions for solvability of $H_2$ suboptimal control are stated. An algorithm for state feedback control synthesis is provided. The findings are applied for the attitude control of a satellite equipped with electro-magnetic coils, which comprises a very attractive means of attitude corrections for small low-cost spacecraft missions.

AB - A control synthesis of periodic processes is addressed in this paper. A class of linear discrete time periodic systems with performance specified by the generalized $H_2$ operator norm, is considered. The paper proposes an LMI solution to this problem, the sufficient and necessary conditions for solvability of $H_2$ suboptimal control are stated. An algorithm for state feedback control synthesis is provided. The findings are applied for the attitude control of a satellite equipped with electro-magnetic coils, which comprises a very attractive means of attitude corrections for small low-cost spacecraft missions.

U2 - 10.1109/ACC.2001.946263

DO - 10.1109/ACC.2001.946263

M3 - Konferenceartikel i proceeding

BT - ACC 2001, Arlington, Virginia

T2 - ACC 2001

Y2 - 25 June 2001 through 27 June 2001

ER -