Sampled-Data Control of LPV Systems With Magnitude and Rate Saturating Actuators

This letter presents the parameter-dependent aperiodic sampled-data state feedback controller design for linear parameter varying (LPV) systems with actuators subject to magnitude and rate saturation, using Linear Matrix Inequalities (LMIs). The proposed method integrates the looped-functional appro...

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Published inIEEE control systems letters Vol. 9; pp. 1165 - 1170
Main Authors Oliveira, Lucas A. L., Guelton, Kevin, Motchon, Koffi M. D., Leite, Valter J. S.
Format Journal Article
LanguageEnglish
Published IEEE 2025
Subjects
Actuators
Artificial Intelligence
Automatic
Automatic Control Engineering
Closed loop systems
Computer Science
Control systems
Delays
Dynamical Systems
Engineering Sciences
Linear matrix inequalities
local stabilization
LPV systems
Mathematics
Polynomials
Sampled-data control
saturating actuators
State feedback
Symmetric matrices
Time-varying systems
Vectors
Sampled-data control
LPV systems
Local stabilization
Saturating actuators
Online AccessGet full text
ISSN2475-1456
2475-1456
DOI10.1109/LCSYS.2025.3580489

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Abstract This letter presents the parameter-dependent aperiodic sampled-data state feedback controller design for linear parameter varying (LPV) systems with actuators subject to magnitude and rate saturation, using Linear Matrix Inequalities (LMIs). The proposed method integrates the looped-functional approach and a parameter-dependent generalized sector condition. The local stabilization is verified through a new definite negativeness lemma for second-order matrix polynomials. The proposed conditions can be simplified to recover a robust controller design whenever the time-varying parameter is unavailable. Two numerical examples demonstrate the effectiveness of the proposed method, highlighting less conservative stability conditions compared to existing approaches.
AbstractList This letter presents the parameter-dependent aperiodic sampled-data state feedback controller design for linear parameter varying (LPV) systems with actuators subject to magnitude and rate saturation, using Linear Matrix Inequalities (LMIs). The proposed method integrates the looped-functional approach and a parameter-dependent generalized sector condition. The local stabilization is verified through a new definite negativeness lemma for second-order matrix polynomials. The proposed conditions can be simplified to recover a robust controller design whenever the time-varying parameter is unavailable. Two numerical examples demonstrate the effectiveness of the proposed method, highlighting less conservative stability conditions compared to existing approaches.
This paper presents the parameter-dependent aperiodic sampled-data state feedback controller design for linear parameter varying (LPV) systems with actuators subject to magnitude and rate saturation, using Linear Matrix Inequalities (LMIs). The proposed method integrates the looped-functional approach and a parameter-dependent generalized sector condition. The local stabilization is verified through a new definite negativeness lemma for second-order matrix polynomials. The proposed conditions can be simplified to recover a robust controller design whenever the time-varying parameter is unavailable. Two numerical examples demonstrate the effectiveness of the proposed method, highlighting less conservative stability conditions compared to existing approaches.
Author Motchon, Koffi M. D.
Oliveira, Lucas A. L.
Guelton, Kevin
Leite, Valter J. S.
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10.1007/978-0-85729-941-3
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10.1109/CDC.2012.6426039
10.1109/TII.2012.2219540
10.1016/j.automatica.2009.11.017
10.1109/MCS.2003.1213600
10.1016/j.automatica.2022.110806
10.1016/j.automatica.2024.112077
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10.1016/j.jfranklin.2024.106915
10.1002/rnc.3503
10.1145/3323925
10.1016/S0947-3580(09)70737-X
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10.1109/TCST.2014.2327584
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Keywords Sampled-data control
LPV systems
Local stabilization
Saturating actuators
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Snippet This letter presents the parameter-dependent aperiodic sampled-data state feedback controller design for linear parameter varying (LPV) systems with actuators...
This paper presents the parameter-dependent aperiodic sampled-data state feedback controller design for linear parameter varying (LPV) systems with actuators...
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SubjectTerms Actuators
Artificial Intelligence
Automatic
Automatic Control Engineering
Closed loop systems
Computer Science
Control systems
Delays
Dynamical Systems
Engineering Sciences
Linear matrix inequalities
local stabilization
LPV systems
Mathematics
Polynomials
Sampled-data control
saturating actuators
State feedback
Symmetric matrices
Time-varying systems
Vectors
Title Sampled-Data Control of LPV Systems With Magnitude and Rate Saturating Actuators
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https://hal.science/hal-05106243
Volume 9
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