Avoiding Lyapunov-Krasovskii Functionals: Simple Nonlinear Sampled–Data Control of a Semi-Active Suspension with Magnetorheological Dampers

This paper presents a novel control design methodology for a magnetorheological (MR) damper-based semi-active suspension system operating under communication-induced time delays, which introduce nonlinear sampled-data dynamics. To address these challenges, a linear matrix inequality (LMI) framework...

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Main Authors: Fernando Viadero-Monasterio, Miguel Meléndez-Useros, Manuel Jiménez-Salas, María Jesús López Boada
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Machines
Subjects:
Online Access:https://www.mdpi.com/2075-1702/13/6/512
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author Fernando Viadero-Monasterio
Miguel Meléndez-Useros
Manuel Jiménez-Salas
María Jesús López Boada
author_facet Fernando Viadero-Monasterio
Miguel Meléndez-Useros
Manuel Jiménez-Salas
María Jesús López Boada
author_sort Fernando Viadero-Monasterio
collection DOAJ
description This paper presents a novel control design methodology for a magnetorheological (MR) damper-based semi-active suspension system operating under communication-induced time delays, which introduce nonlinear sampled-data dynamics. To address these challenges, a linear matrix inequality (LMI) framework is developed for synthesizing the current controller, with the dual goals of enhancing ride comfort and safety while ensuring system stability and robustness against road disturbances. The proposed approach deliberately avoids the use of Lyapunov-Krasovskii functionals, offering a more practical and computationally efficient alternative. Experimental results confirm that the proposed MR damper model outperforms traditional Lyapunov-Krasovskii-based methods. Additionally, two simulated road profiles are used to evaluate the suspension system’s behavior, further demonstrating the effectiveness of the proposed control strategy.
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series Machines
spelling doaj-art-6a4ee64fedc84fc39d8d939aa202f5ce2025-08-20T02:21:04ZengMDPI AGMachines2075-17022025-06-0113651210.3390/machines13060512Avoiding Lyapunov-Krasovskii Functionals: Simple Nonlinear Sampled–Data Control of a Semi-Active Suspension with Magnetorheological DampersFernando Viadero-Monasterio0Miguel Meléndez-Useros1Manuel Jiménez-Salas2María Jesús López Boada3Mechanical Engineering Department, Advanced Vehicle Dynamics and Mechatronic Systems (VEDYMEC), Universidad Carlos III de Madrid, Avda. de la Universidad 30, 28911 Leganés, SpainMechanical Engineering Department, Advanced Vehicle Dynamics and Mechatronic Systems (VEDYMEC), Universidad Carlos III de Madrid, Avda. de la Universidad 30, 28911 Leganés, SpainMechanical Engineering Department, Advanced Vehicle Dynamics and Mechatronic Systems (VEDYMEC), Universidad Carlos III de Madrid, Avda. de la Universidad 30, 28911 Leganés, SpainMechanical Engineering Department, Advanced Vehicle Dynamics and Mechatronic Systems (VEDYMEC), Universidad Carlos III de Madrid, Avda. de la Universidad 30, 28911 Leganés, SpainThis paper presents a novel control design methodology for a magnetorheological (MR) damper-based semi-active suspension system operating under communication-induced time delays, which introduce nonlinear sampled-data dynamics. To address these challenges, a linear matrix inequality (LMI) framework is developed for synthesizing the current controller, with the dual goals of enhancing ride comfort and safety while ensuring system stability and robustness against road disturbances. The proposed approach deliberately avoids the use of Lyapunov-Krasovskii functionals, offering a more practical and computationally efficient alternative. Experimental results confirm that the proposed MR damper model outperforms traditional Lyapunov-Krasovskii-based methods. Additionally, two simulated road profiles are used to evaluate the suspension system’s behavior, further demonstrating the effectiveness of the proposed control strategy.https://www.mdpi.com/2075-1702/13/6/512semi-active suspensionmagnetorheological dampervehicle dynamicsvehicle safetyride comfortintelligent transportation system
spellingShingle Fernando Viadero-Monasterio
Miguel Meléndez-Useros
Manuel Jiménez-Salas
María Jesús López Boada
Avoiding Lyapunov-Krasovskii Functionals: Simple Nonlinear Sampled–Data Control of a Semi-Active Suspension with Magnetorheological Dampers
Machines
semi-active suspension
magnetorheological damper
vehicle dynamics
vehicle safety
ride comfort
intelligent transportation system
title Avoiding Lyapunov-Krasovskii Functionals: Simple Nonlinear Sampled–Data Control of a Semi-Active Suspension with Magnetorheological Dampers
title_full Avoiding Lyapunov-Krasovskii Functionals: Simple Nonlinear Sampled–Data Control of a Semi-Active Suspension with Magnetorheological Dampers
title_fullStr Avoiding Lyapunov-Krasovskii Functionals: Simple Nonlinear Sampled–Data Control of a Semi-Active Suspension with Magnetorheological Dampers
title_full_unstemmed Avoiding Lyapunov-Krasovskii Functionals: Simple Nonlinear Sampled–Data Control of a Semi-Active Suspension with Magnetorheological Dampers
title_short Avoiding Lyapunov-Krasovskii Functionals: Simple Nonlinear Sampled–Data Control of a Semi-Active Suspension with Magnetorheological Dampers
title_sort avoiding lyapunov krasovskii functionals simple nonlinear sampled data control of a semi active suspension with magnetorheological dampers
topic semi-active suspension
magnetorheological damper
vehicle dynamics
vehicle safety
ride comfort
intelligent transportation system
url https://www.mdpi.com/2075-1702/13/6/512
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