Nonlinear gain-scheduled control design using set-valued methods

Kuang Hsuan Tu; Jeff S. Shamma

doi:10.1109/ACC.1998.703603

Nonlinear gain-scheduled control design using set-valued methods

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

Abstract

This paper presents a nonlinear gain-scheduled control design approach using set-valued methods. Previous results for set-valued methods for linear parameter-varying (LPV) systems are applied to nonlinear systems with quasi-LPV representations. The proposed design approach differs from traditional gain-scheduling in several aspects: (1) linearization errors are accommodated as linear state-dependent disturbances, (2) constraints on system states and controls are specified, and (3) rates of transitions among operating regions are explicitly addressed. As a consequence, even "local" set point designs are nonlinear. Nonlinear parameter-dependent state feedback which is guaranteed to achieve constrained regulation, is constructed by solving several linear programs.

Original language	English (US)
Title of host publication	Proceedings of the 1998 American Control Conference, ACC 1998
Pages	1195-1199
Number of pages	5
DOIs	https://doi.org/10.1109/ACC.1998.703603
State	Published - 1998
Externally published	Yes
Event	1998 American Control Conference, ACC 1998 - Philadelphia, PA, United States Duration: Jun 24 1998 → Jun 26 1998

Publication series

Name	Proceedings of the American Control Conference
Volume	2
ISSN (Print)	0743-1619

Other

Other	1998 American Control Conference, ACC 1998
Country/Territory	United States
City	Philadelphia, PA
Period	6/24/98 → 6/26/98

ASJC Scopus subject areas

Electrical and Electronic Engineering

Online availability

10.1109/ACC.1998.703603

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doi = "10.1109/ACC.1998.703603",

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AU - Shamma, Jeff S.

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N2 - This paper presents a nonlinear gain-scheduled control design approach using set-valued methods. Previous results for set-valued methods for linear parameter-varying (LPV) systems are applied to nonlinear systems with quasi-LPV representations. The proposed design approach differs from traditional gain-scheduling in several aspects: (1) linearization errors are accommodated as linear state-dependent disturbances, (2) constraints on system states and controls are specified, and (3) rates of transitions among operating regions are explicitly addressed. As a consequence, even "local" set point designs are nonlinear. Nonlinear parameter-dependent state feedback which is guaranteed to achieve constrained regulation, is constructed by solving several linear programs.

AB - This paper presents a nonlinear gain-scheduled control design approach using set-valued methods. Previous results for set-valued methods for linear parameter-varying (LPV) systems are applied to nonlinear systems with quasi-LPV representations. The proposed design approach differs from traditional gain-scheduling in several aspects: (1) linearization errors are accommodated as linear state-dependent disturbances, (2) constraints on system states and controls are specified, and (3) rates of transitions among operating regions are explicitly addressed. As a consequence, even "local" set point designs are nonlinear. Nonlinear parameter-dependent state feedback which is guaranteed to achieve constrained regulation, is constructed by solving several linear programs.

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DO - 10.1109/ACC.1998.703603

M3 - Conference contribution

AN - SCOPUS:84881349586

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SN - 9780780345300

T3 - Proceedings of the American Control Conference

SP - 1195

EP - 1199

BT - Proceedings of the 1998 American Control Conference, ACC 1998

T2 - 1998 American Control Conference, ACC 1998

Y2 - 24 June 1998 through 26 June 1998

ER -

Nonlinear gain-scheduled control design using set-valued methods

Abstract

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