Tuning and Feasibility Analysis of Classical First-Order MIMO Non-Linear Sliding Mode Control Design for Industrial Applications

Model-based control techniques have been gaining more and more interest these days. These complex control systems are mostly based on theories, such as feedback linearization, model predictive control, adaptive and robust control. In this paper the latter approach is investigated, in particular, sli...

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Main Authors: Alessandro Palmieri, Renato Procopio, Andrea Bonfiglio, Massimo Brignone, Marco Invernizzi, Andrea Morini, Boban Veselic’
Format: Article
Language:English
Published: MDPI AG 2019-01-01
Series:Machines
Subjects:
Online Access:http://www.mdpi.com/2075-1702/7/1/10
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spelling doaj-eebefebdfe714406a87f3625560f860d2020-11-24T23:52:58ZengMDPI AGMachines2075-17022019-01-01711010.3390/machines7010010machines7010010Tuning and Feasibility Analysis of Classical First-Order MIMO Non-Linear Sliding Mode Control Design for Industrial ApplicationsAlessandro Palmieri0Renato Procopio1Andrea Bonfiglio2Massimo Brignone3Marco Invernizzi4Andrea Morini5Boban Veselic’6Department of Electrical, Electronic, Telecommunications Engineering and Naval Architecture, University of Genoa, Via Opera Pia 11a, I-16145 Genoa, ItalyDepartment of Electrical, Electronic, Telecommunications Engineering and Naval Architecture, University of Genoa, Via Opera Pia 11a, I-16145 Genoa, ItalyDepartment of Electrical, Electronic, Telecommunications Engineering and Naval Architecture, University of Genoa, Via Opera Pia 11a, I-16145 Genoa, ItalyDepartment of Electrical, Electronic, Telecommunications Engineering and Naval Architecture, University of Genoa, Via Opera Pia 11a, I-16145 Genoa, ItalyDepartment of Electrical, Electronic, Telecommunications Engineering and Naval Architecture, University of Genoa, Via Opera Pia 11a, I-16145 Genoa, ItalyDepartment of Electrical, Electronic, Telecommunications Engineering and Naval Architecture, University of Genoa, Via Opera Pia 11a, I-16145 Genoa, ItalyFaculty of electronic engineering, University of Niš, Univerzitetski trg 2, 18106 Niš, SerbiaModel-based control techniques have been gaining more and more interest these days. These complex control systems are mostly based on theories, such as feedback linearization, model predictive control, adaptive and robust control. In this paper the latter approach is investigated, in particular, sliding mode (SM) control is analyzed. While several works on the description and application of SM control on single-input single-output systems can easily be found, its application on multi-input multi-output systems is not examined in depth at the same level. Hence, this work aims at formalizing some theoretical complements about the necessary conditions for the feasibility of the SM control for multi-input-multi-output systems. Furthermore, in order to obtain the desired performance from the control system, a method for parameter tuning is proposed in the particular case in which the relative degree of the controlled channels is equal to one. Finally, a simple control problem example is shown with the aim of stressing the benefits derived from the application of the theoretical complements described here.http://www.mdpi.com/2075-1702/7/1/10nonlinear systems controlsliding mode controlrobust controluncertain systems
collection DOAJ
language English
format Article
sources DOAJ
author Alessandro Palmieri
Renato Procopio
Andrea Bonfiglio
Massimo Brignone
Marco Invernizzi
Andrea Morini
Boban Veselic’
spellingShingle Alessandro Palmieri
Renato Procopio
Andrea Bonfiglio
Massimo Brignone
Marco Invernizzi
Andrea Morini
Boban Veselic’
Tuning and Feasibility Analysis of Classical First-Order MIMO Non-Linear Sliding Mode Control Design for Industrial Applications
Machines
nonlinear systems control
sliding mode control
robust control
uncertain systems
author_facet Alessandro Palmieri
Renato Procopio
Andrea Bonfiglio
Massimo Brignone
Marco Invernizzi
Andrea Morini
Boban Veselic’
author_sort Alessandro Palmieri
title Tuning and Feasibility Analysis of Classical First-Order MIMO Non-Linear Sliding Mode Control Design for Industrial Applications
title_short Tuning and Feasibility Analysis of Classical First-Order MIMO Non-Linear Sliding Mode Control Design for Industrial Applications
title_full Tuning and Feasibility Analysis of Classical First-Order MIMO Non-Linear Sliding Mode Control Design for Industrial Applications
title_fullStr Tuning and Feasibility Analysis of Classical First-Order MIMO Non-Linear Sliding Mode Control Design for Industrial Applications
title_full_unstemmed Tuning and Feasibility Analysis of Classical First-Order MIMO Non-Linear Sliding Mode Control Design for Industrial Applications
title_sort tuning and feasibility analysis of classical first-order mimo non-linear sliding mode control design for industrial applications
publisher MDPI AG
series Machines
issn 2075-1702
publishDate 2019-01-01
description Model-based control techniques have been gaining more and more interest these days. These complex control systems are mostly based on theories, such as feedback linearization, model predictive control, adaptive and robust control. In this paper the latter approach is investigated, in particular, sliding mode (SM) control is analyzed. While several works on the description and application of SM control on single-input single-output systems can easily be found, its application on multi-input multi-output systems is not examined in depth at the same level. Hence, this work aims at formalizing some theoretical complements about the necessary conditions for the feasibility of the SM control for multi-input-multi-output systems. Furthermore, in order to obtain the desired performance from the control system, a method for parameter tuning is proposed in the particular case in which the relative degree of the controlled channels is equal to one. Finally, a simple control problem example is shown with the aim of stressing the benefits derived from the application of the theoretical complements described here.
topic nonlinear systems control
sliding mode control
robust control
uncertain systems
url http://www.mdpi.com/2075-1702/7/1/10
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