Set invariance analysis and gain-scheduling control for LPV systems subject to actuator saturation

Yong Yan Cao; Zongli Lin; Yacov Shamash

Set invariance analysis and gain-scheduling control for LPV systems subject to actuator saturation

Yong Yan Cao
, Zongli Lin
, Yacov Shamash

Electrical Engineering

University of Virginia

Research output: Contribution to journal › Conference article › peer-review

7 Scopus citations

Abstract

In this paper, a set invariance analysis and gain scheduling control design approach is proposed for the polytopic linear parameter-varying systems subject to actuator saturation. A set invariance condition is first established. By utilizing this set invariance condition, the design of a time-invariant state feedback law is formulated and solved as an optimization problem with LMI constraints. A gain-scheduling controller is then designed to further improve the closed-loop performance. Numerical examples are presented to demonstrate the effectiveness of the proposed analysis and design method.

Original language	English
Pages (from-to)	668-673
Number of pages	6
Journal	Proceedings of the American Control Conference
Volume	1
State	Published - 2002
Event	2002 American Control Conference - Anchorage, AK, United States Duration: May 8 2002 → May 10 2002

Keywords

Actuator saturation
Gain-scheduling
Linear parameter-varying systems
Set invariance

Cite this

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title = "Set invariance analysis and gain-scheduling control for LPV systems subject to actuator saturation",

abstract = "In this paper, a set invariance analysis and gain scheduling control design approach is proposed for the polytopic linear parameter-varying systems subject to actuator saturation. A set invariance condition is first established. By utilizing this set invariance condition, the design of a time-invariant state feedback law is formulated and solved as an optimization problem with LMI constraints. A gain-scheduling controller is then designed to further improve the closed-loop performance. Numerical examples are presented to demonstrate the effectiveness of the proposed analysis and design method.",

keywords = "Actuator saturation, Gain-scheduling, Linear parameter-varying systems, Set invariance",

author = "Cao, \{Yong Yan\} and Zongli Lin and Yacov Shamash",

year = "2002",

language = "English",

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journal = "Proceedings of the American Control Conference",

issn = "0743-1619",

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T1 - Set invariance analysis and gain-scheduling control for LPV systems subject to actuator saturation

AU - Cao, Yong Yan

AU - Lin, Zongli

AU - Shamash, Yacov

PY - 2002

Y1 - 2002

N2 - In this paper, a set invariance analysis and gain scheduling control design approach is proposed for the polytopic linear parameter-varying systems subject to actuator saturation. A set invariance condition is first established. By utilizing this set invariance condition, the design of a time-invariant state feedback law is formulated and solved as an optimization problem with LMI constraints. A gain-scheduling controller is then designed to further improve the closed-loop performance. Numerical examples are presented to demonstrate the effectiveness of the proposed analysis and design method.

AB - In this paper, a set invariance analysis and gain scheduling control design approach is proposed for the polytopic linear parameter-varying systems subject to actuator saturation. A set invariance condition is first established. By utilizing this set invariance condition, the design of a time-invariant state feedback law is formulated and solved as an optimization problem with LMI constraints. A gain-scheduling controller is then designed to further improve the closed-loop performance. Numerical examples are presented to demonstrate the effectiveness of the proposed analysis and design method.

KW - Actuator saturation

KW - Gain-scheduling

KW - Linear parameter-varying systems

KW - Set invariance

UR - https://www.scopus.com/pages/publications/0036055621

M3 - Conference article

AN - SCOPUS:0036055621

SN - 0743-1619

VL - 1

SP - 668

EP - 673

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

T2 - 2002 American Control Conference

Y2 - 8 May 2002 through 10 May 2002

ER -

Set invariance analysis and gain-scheduling control for LPV systems subject to actuator saturation

Abstract

Keywords

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