Switching rules for decentralized control with simple control laws

Brian Shucker; Todd Murphey; John K. Bennett

doi:10.1109/ACC.2007.4282736

Switching rules for decentralized control with simple control laws

Brian Shucker^*, Todd Murphey, John K. Bennett

^*Corresponding author for this work

Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

20 Scopus citations

Abstract

We introduce a novel method for enforcing stability on a decentralized control system. In contrast to previous work, our approach allows for the use of a wide variety of simple control laws, while still providing for a formal proof of stability. Our motivating example uses a simple geometric switching function coupled with PD control that has an intuitive interpretation as a virtual spring mesh. Building on this example, we show a general proof technique that applies to a large class of decentralized control systems. Furthermore, we describe additional cases that illustrate how our technique can be applied to useful systems that are straightforward to implement.

Original language	English (US)
Title of host publication	Proceedings of the 2007 American Control Conference, ACC
Pages	1485-1492
Number of pages	8
DOIs	https://doi.org/10.1109/ACC.2007.4282736
State	Published - Dec 1 2007
Event	2007 American Control Conference, ACC - New York, NY, United States Duration: Jul 9 2007 → Jul 13 2007

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Other

Other	2007 American Control Conference, ACC
Country/Territory	United States
City	New York, NY
Period	7/9/07 → 7/13/07

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.1109/ACC.2007.4282736

Cite this

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title = "Switching rules for decentralized control with simple control laws",

abstract = "We introduce a novel method for enforcing stability on a decentralized control system. In contrast to previous work, our approach allows for the use of a wide variety of simple control laws, while still providing for a formal proof of stability. Our motivating example uses a simple geometric switching function coupled with PD control that has an intuitive interpretation as a virtual spring mesh. Building on this example, we show a general proof technique that applies to a large class of decentralized control systems. Furthermore, we describe additional cases that illustrate how our technique can be applied to useful systems that are straightforward to implement.",

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AU - Shucker, Brian

AU - Murphey, Todd

AU - Bennett, John K.

PY - 2007/12/1

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N2 - We introduce a novel method for enforcing stability on a decentralized control system. In contrast to previous work, our approach allows for the use of a wide variety of simple control laws, while still providing for a formal proof of stability. Our motivating example uses a simple geometric switching function coupled with PD control that has an intuitive interpretation as a virtual spring mesh. Building on this example, we show a general proof technique that applies to a large class of decentralized control systems. Furthermore, we describe additional cases that illustrate how our technique can be applied to useful systems that are straightforward to implement.

AB - We introduce a novel method for enforcing stability on a decentralized control system. In contrast to previous work, our approach allows for the use of a wide variety of simple control laws, while still providing for a formal proof of stability. Our motivating example uses a simple geometric switching function coupled with PD control that has an intuitive interpretation as a virtual spring mesh. Building on this example, we show a general proof technique that applies to a large class of decentralized control systems. Furthermore, we describe additional cases that illustrate how our technique can be applied to useful systems that are straightforward to implement.

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DO - 10.1109/ACC.2007.4282736

M3 - Conference contribution

AN - SCOPUS:46449094666

SN - 1424409888

SN - 9781424409884

T3 - Proceedings of the American Control Conference

SP - 1485

EP - 1492

BT - Proceedings of the 2007 American Control Conference, ACC

T2 - 2007 American Control Conference, ACC

Y2 - 9 July 2007 through 13 July 2007

ER -

Switching rules for decentralized control with simple control laws

Abstract

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ASJC Scopus subject areas

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