Experimental Validation of a Sliding Mode Control for a Stewart Platform Used in Aerospace Inspection Applications

The authors introduce a new controller, aimed at industrial domains, that improves the performance and accuracy of positioning systems based on Stewart platforms. More specifically, this paper presents, and validates experimentally, a sliding mode control for precisely positioning a Stewart platform...

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Main Authors: Javier Velasco, Isidro Calvo, Oscar Barambones, Pablo Venegas, Cristian Napole
Format: Article
Language:English
Published: MDPI AG 2020-11-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/11/2051
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author Javier Velasco
Isidro Calvo
Oscar Barambones
Pablo Venegas
Cristian Napole
author_facet Javier Velasco
Isidro Calvo
Oscar Barambones
Pablo Venegas
Cristian Napole
author_sort Javier Velasco
collection DOAJ
description The authors introduce a new controller, aimed at industrial domains, that improves the performance and accuracy of positioning systems based on Stewart platforms. More specifically, this paper presents, and validates experimentally, a sliding mode control for precisely positioning a Stewart platform used as a mobile platform in non-destructive inspection (NDI) applications. The NDI application involves exploring the specimen surface of aeronautical coupons at different heights. In order to avoid defocusing and blurred images, the platform must be positioned accurately to keep a uniform distance between the camera and the surface of the specimen. This operation requires the coordinated control of the six electro mechanic actuators (EMAs). The platform trajectory and the EMA lengths can be calculated by means of the forward and inverse kinematics of the Stewart platform. Typically, a proportional integral (PI) control approach is used for this purpose but unfortunately this control scheme is unable to position the platform accurately enough. For this reason, a sliding mode control (SMC) strategy is proposed. The SMC requires: (1) a priori knowledge of the bounds on system uncertainties, and (2) the analysis of the system stability in order to ensure that the strategy executes adequately. The results of this work show a higher performance of the SMC when compared with the PI control strategy: the average absolute error is reduced from 3.45 mm in PI to 0.78 mm in the SMC. Additionally, the duty cycle analysis shows that although PI control demands a smoother actuator response, the power consumption is similar.
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spelling doaj.art-dbbefeb7a64349e2a4195cf6c2f66fc22023-11-20T21:17:54ZengMDPI AGMathematics2227-73902020-11-01811205110.3390/math8112051Experimental Validation of a Sliding Mode Control for a Stewart Platform Used in Aerospace Inspection ApplicationsJavier Velasco0Isidro Calvo1Oscar Barambones2Pablo Venegas3Cristian Napole4Fundación Centro de Tecnologías Aeronáuticas (CTA), Juan de la Cierva 1, 01510 Miñano, SpainDepartment of System Engineering and Automation, Faculty of Engineering Vitoria-Gasteiz, University of the Basque Country (UPV/EHU), Nieves Cano 12, 01006 Vitoria-Gasteiz, SpainDepartment of System Engineering and Automation, Faculty of Engineering Vitoria-Gasteiz, University of the Basque Country (UPV/EHU), Nieves Cano 12, 01006 Vitoria-Gasteiz, SpainFundación Centro de Tecnologías Aeronáuticas (CTA), Juan de la Cierva 1, 01510 Miñano, SpainDepartment of System Engineering and Automation, Faculty of Engineering Vitoria-Gasteiz, University of the Basque Country (UPV/EHU), Nieves Cano 12, 01006 Vitoria-Gasteiz, SpainThe authors introduce a new controller, aimed at industrial domains, that improves the performance and accuracy of positioning systems based on Stewart platforms. More specifically, this paper presents, and validates experimentally, a sliding mode control for precisely positioning a Stewart platform used as a mobile platform in non-destructive inspection (NDI) applications. The NDI application involves exploring the specimen surface of aeronautical coupons at different heights. In order to avoid defocusing and blurred images, the platform must be positioned accurately to keep a uniform distance between the camera and the surface of the specimen. This operation requires the coordinated control of the six electro mechanic actuators (EMAs). The platform trajectory and the EMA lengths can be calculated by means of the forward and inverse kinematics of the Stewart platform. Typically, a proportional integral (PI) control approach is used for this purpose but unfortunately this control scheme is unable to position the platform accurately enough. For this reason, a sliding mode control (SMC) strategy is proposed. The SMC requires: (1) a priori knowledge of the bounds on system uncertainties, and (2) the analysis of the system stability in order to ensure that the strategy executes adequately. The results of this work show a higher performance of the SMC when compared with the PI control strategy: the average absolute error is reduced from 3.45 mm in PI to 0.78 mm in the SMC. Additionally, the duty cycle analysis shows that although PI control demands a smoother actuator response, the power consumption is similar.https://www.mdpi.com/2227-7390/8/11/2051automatic optical inspectionkinetic theoryparallel robotsrobust controlsliding mode control
spellingShingle Javier Velasco
Isidro Calvo
Oscar Barambones
Pablo Venegas
Cristian Napole
Experimental Validation of a Sliding Mode Control for a Stewart Platform Used in Aerospace Inspection Applications
Mathematics
automatic optical inspection
kinetic theory
parallel robots
robust control
sliding mode control
title Experimental Validation of a Sliding Mode Control for a Stewart Platform Used in Aerospace Inspection Applications
title_full Experimental Validation of a Sliding Mode Control for a Stewart Platform Used in Aerospace Inspection Applications
title_fullStr Experimental Validation of a Sliding Mode Control for a Stewart Platform Used in Aerospace Inspection Applications
title_full_unstemmed Experimental Validation of a Sliding Mode Control for a Stewart Platform Used in Aerospace Inspection Applications
title_short Experimental Validation of a Sliding Mode Control for a Stewart Platform Used in Aerospace Inspection Applications
title_sort experimental validation of a sliding mode control for a stewart platform used in aerospace inspection applications
topic automatic optical inspection
kinetic theory
parallel robots
robust control
sliding mode control
url https://www.mdpi.com/2227-7390/8/11/2051
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