Robust gain-scheduled control

Brandon Hencey; Andrew Alleyne

doi:10.1109/acc.2010.5530440

Robust gain-scheduled control

Brandon Hencey, Andrew Alleyne

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

9 Scopus citations

Abstract

This paper addresses the gain-scheduling of separately designed controllers to form a robust linear parameter varying (LPV) controller for an LPV plant. Fast parameter variation or switching often leads to loss of stability or performance due to an inadequate gain-scheduled controller design. This paper extends a controller interpolation framework to the gain-scheduled control design problem in order to optimize the dynamic transition among controllers with respect to the quadratic H_∞ performance metric. Subsequently, necessary and sufficient conditions are stated in terms of linear matrix inequalities (LMIs). In addition, the framework is also amenable to optimizing gain-scheduled control design with respect to other objectives expressible as LMIs.

Original language	English (US)
Title of host publication	Proceedings of the 2010 American Control Conference, ACC 2010
Publisher	IEEE Computer Society
Pages	3075-3081
Number of pages	7
ISBN (Print)	9781424474264
DOIs	https://doi.org/10.1109/acc.2010.5530440
State	Published - 2010
Externally published	Yes

Publication series

Name	Proceedings of the 2010 American Control Conference, ACC 2010

Keywords

Gain-scheduling
Linear parameter varying
LMIs
Robust

Publisher link

10.1109/acc.2010.5530440

Find It

Find It at U of M Libraries

Cite this

@inproceedings{b5aa92afbb9e429990128faab57f0ba7,

title = "Robust gain-scheduled control",

abstract = "This paper addresses the gain-scheduling of separately designed controllers to form a robust linear parameter varying (LPV) controller for an LPV plant. Fast parameter variation or switching often leads to loss of stability or performance due to an inadequate gain-scheduled controller design. This paper extends a controller interpolation framework to the gain-scheduled control design problem in order to optimize the dynamic transition among controllers with respect to the quadratic H∞ performance metric. Subsequently, necessary and sufficient conditions are stated in terms of linear matrix inequalities (LMIs). In addition, the framework is also amenable to optimizing gain-scheduled control design with respect to other objectives expressible as LMIs.",

keywords = "Gain-scheduling, Linear parameter varying, LMIs, Robust",

author = "Brandon Hencey and Andrew Alleyne",

year = "2010",

doi = "10.1109/acc.2010.5530440",

language = "English (US)",

isbn = "9781424474264",

series = "Proceedings of the 2010 American Control Conference, ACC 2010",

publisher = "IEEE Computer Society",

pages = "3075--3081",

booktitle = "Proceedings of the 2010 American Control Conference, ACC 2010",

}

TY - GEN

T1 - Robust gain-scheduled control

AU - Hencey, Brandon

AU - Alleyne, Andrew

PY - 2010

Y1 - 2010

N2 - This paper addresses the gain-scheduling of separately designed controllers to form a robust linear parameter varying (LPV) controller for an LPV plant. Fast parameter variation or switching often leads to loss of stability or performance due to an inadequate gain-scheduled controller design. This paper extends a controller interpolation framework to the gain-scheduled control design problem in order to optimize the dynamic transition among controllers with respect to the quadratic H∞ performance metric. Subsequently, necessary and sufficient conditions are stated in terms of linear matrix inequalities (LMIs). In addition, the framework is also amenable to optimizing gain-scheduled control design with respect to other objectives expressible as LMIs.

AB - This paper addresses the gain-scheduling of separately designed controllers to form a robust linear parameter varying (LPV) controller for an LPV plant. Fast parameter variation or switching often leads to loss of stability or performance due to an inadequate gain-scheduled controller design. This paper extends a controller interpolation framework to the gain-scheduled control design problem in order to optimize the dynamic transition among controllers with respect to the quadratic H∞ performance metric. Subsequently, necessary and sufficient conditions are stated in terms of linear matrix inequalities (LMIs). In addition, the framework is also amenable to optimizing gain-scheduled control design with respect to other objectives expressible as LMIs.

KW - Gain-scheduling

KW - Linear parameter varying

KW - LMIs

KW - Robust

UR - http://www.scopus.com/inward/record.url?scp=77957817021&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77957817021&partnerID=8YFLogxK

U2 - 10.1109/acc.2010.5530440

DO - 10.1109/acc.2010.5530440

M3 - Conference contribution

AN - SCOPUS:77957817021

SN - 9781424474264

T3 - Proceedings of the 2010 American Control Conference, ACC 2010

SP - 3075

EP - 3081

BT - Proceedings of the 2010 American Control Conference, ACC 2010

PB - IEEE Computer Society

ER -

Robust gain-scheduled control

Abstract

Publication series

Keywords

Publisher link

Find It

Other files and links

Fingerprint

Cite this