Design and Implementation of Novel LMI-Based Iterative Learning Robust Nonlinear Controller

An iterative learning robust fault-tolerant control algorithm is proposed for a class of uncertain discrete systems with repeated action with nonlinear and actuator faults. First, by defining an actuator fault coefficient matrix, we convert the iterative learning control system into an equivalent un...

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Main Authors: Saleem Riaz, Hui Lin, Farkhanda Afzal, Ayesha Maqbool
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/5577241
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author Saleem Riaz
Hui Lin
Farkhanda Afzal
Ayesha Maqbool
author_facet Saleem Riaz
Hui Lin
Farkhanda Afzal
Ayesha Maqbool
author_sort Saleem Riaz
collection DOAJ
description An iterative learning robust fault-tolerant control algorithm is proposed for a class of uncertain discrete systems with repeated action with nonlinear and actuator faults. First, by defining an actuator fault coefficient matrix, we convert the iterative learning control system into an equivalent unknown nonlinear repetitive process model. Then, based on the mixed Lyapunov function approach, we describe the stability of the nonlinear repetitive mechanism on time and trial indices and have appropriate conditions for the repeated control system’s stability in terms of linear matrix inequality theory. Through LMI techniques, we have obtained satisfactory results and controller stability, and robustness against fault tolerance is also discussed in detail. Finally, the simulation results of the output tracking control of the two exemplary models verify the effectiveness of the proposed algorithm.
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issn 1076-2787
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language English
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publisher Wiley
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series Complexity
spelling doaj-art-4fbdefff8bad4c26baad6e3a09de2b4f2025-08-20T02:05:38ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/55772415577241Design and Implementation of Novel LMI-Based Iterative Learning Robust Nonlinear ControllerSaleem Riaz0Hui Lin1Farkhanda Afzal2Ayesha Maqbool3School of Automation, Northwestern Polytechnical University, Shaanxi, Xi’an 170072, ChinaSchool of Automation, Northwestern Polytechnical University, Shaanxi, Xi’an 170072, ChinaMCS, National University of Sciences and Technology, Islamabad 44000, PakistanDepartment of Computer Science, NUST Balochistan Campus (NBC), Quetta, Islamabad, PakistanAn iterative learning robust fault-tolerant control algorithm is proposed for a class of uncertain discrete systems with repeated action with nonlinear and actuator faults. First, by defining an actuator fault coefficient matrix, we convert the iterative learning control system into an equivalent unknown nonlinear repetitive process model. Then, based on the mixed Lyapunov function approach, we describe the stability of the nonlinear repetitive mechanism on time and trial indices and have appropriate conditions for the repeated control system’s stability in terms of linear matrix inequality theory. Through LMI techniques, we have obtained satisfactory results and controller stability, and robustness against fault tolerance is also discussed in detail. Finally, the simulation results of the output tracking control of the two exemplary models verify the effectiveness of the proposed algorithm.http://dx.doi.org/10.1155/2021/5577241
spellingShingle Saleem Riaz
Hui Lin
Farkhanda Afzal
Ayesha Maqbool
Design and Implementation of Novel LMI-Based Iterative Learning Robust Nonlinear Controller
Complexity
title Design and Implementation of Novel LMI-Based Iterative Learning Robust Nonlinear Controller
title_full Design and Implementation of Novel LMI-Based Iterative Learning Robust Nonlinear Controller
title_fullStr Design and Implementation of Novel LMI-Based Iterative Learning Robust Nonlinear Controller
title_full_unstemmed Design and Implementation of Novel LMI-Based Iterative Learning Robust Nonlinear Controller
title_short Design and Implementation of Novel LMI-Based Iterative Learning Robust Nonlinear Controller
title_sort design and implementation of novel lmi based iterative learning robust nonlinear controller
url http://dx.doi.org/10.1155/2021/5577241
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AT farkhandaafzal designandimplementationofnovellmibasediterativelearningrobustnonlinearcontroller
AT ayeshamaqbool designandimplementationofnovellmibasediterativelearningrobustnonlinearcontroller