L2-Gain performance analysis for discrete-time systems with input saturation: An LPV approach

Hoai Nam Nguyen

doi:10.1016/j.ifacol.2020.12.484

L₂-Gain performance analysis for discrete-time systems with input saturation: An LPV approach

Hoai Nam Nguyen

IFP Energies nouvelles

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

Abstract

In this paper, we consider the problem of estimating the L₂-gain under a given feedback law for linear discrete-time systems subject to actuator saturation. The basic idea is to use the linear parameter varying system framework to model the saturation nonlinearity. It is shown that the conditions can be expressed as a set of linear matrix inequalities. Furthermore, it is proved that the conditions are guaranteed to be less conservative than several existing solutions in the literature. One numerical example is presented to illustrate the effectiveness of the proposed method.

Original language	English
Pages (from-to)	4588-4592
Number of pages	5
Journal	IFAC-PapersOnLine
Volume	53
Issue number	2
DOIs	https://doi.org/10.1016/j.ifacol.2020.12.484
Publication status	Published - 1 Jan 2020
Externally published	Yes
Event	21st IFAC World Congress 2020 - Berlin, Germany Duration: 12 Jul 2020 → 17 Jul 2020

Keywords

Actuator saturation
L-gain
LPV modeling
Linear discrete-time system
Linear matrix inequalities (LMI)

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10.1016/j.ifacol.2020.12.484

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title = "L2-Gain performance analysis for discrete-time systems with input saturation: An LPV approach",

abstract = "In this paper, we consider the problem of estimating the L2-gain under a given feedback law for linear discrete-time systems subject to actuator saturation. The basic idea is to use the linear parameter varying system framework to model the saturation nonlinearity. It is shown that the conditions can be expressed as a set of linear matrix inequalities. Furthermore, it is proved that the conditions are guaranteed to be less conservative than several existing solutions in the literature. One numerical example is presented to illustrate the effectiveness of the proposed method.",

keywords = "Actuator saturation, L-gain, LPV modeling, Linear discrete-time system, Linear matrix inequalities (LMI)",

author = "Nguyen, \{Hoai Nam\}",

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N2 - In this paper, we consider the problem of estimating the L2-gain under a given feedback law for linear discrete-time systems subject to actuator saturation. The basic idea is to use the linear parameter varying system framework to model the saturation nonlinearity. It is shown that the conditions can be expressed as a set of linear matrix inequalities. Furthermore, it is proved that the conditions are guaranteed to be less conservative than several existing solutions in the literature. One numerical example is presented to illustrate the effectiveness of the proposed method.

AB - In this paper, we consider the problem of estimating the L2-gain under a given feedback law for linear discrete-time systems subject to actuator saturation. The basic idea is to use the linear parameter varying system framework to model the saturation nonlinearity. It is shown that the conditions can be expressed as a set of linear matrix inequalities. Furthermore, it is proved that the conditions are guaranteed to be less conservative than several existing solutions in the literature. One numerical example is presented to illustrate the effectiveness of the proposed method.

KW - Actuator saturation

KW - L-gain

KW - LPV modeling

KW - Linear discrete-time system

KW - Linear matrix inequalities (LMI)

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JF - IFAC-PapersOnLine

IS - 2

Y2 - 12 July 2020 through 17 July 2020

ER -

L₂-Gain performance analysis for discrete-time systems with input saturation: An LPV approach

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Keywords

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