Robustness Improvement of Computationally Efficient Cooperative Fuzzy Model Predictive-Integral Sliding Mode Control of Nonlinear Systems

This paper introduces a systematic and comprehensive method to design a constrained fuzzy model predictive control (MPC) cooperated with integral sliding mode control (ISMC) based on the Takagi-Sugeno (T-S) fuzzy model for uncertain continuous-time nonlinear systems subject to external disturbances....

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Autores principales: Mohsen Farbood, Mohammad Veysi, Mokhtar Shasadeghi, Afshin Izadian, Taher Niknam, Jamshid Aghaei
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Lenguaje:EN
Publicado: IEEE 2021
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spelling oai:doaj.org-article:db3761f7731c40d19cf6a6e85981082d2021-11-18T00:08:06ZRobustness Improvement of Computationally Efficient Cooperative Fuzzy Model Predictive-Integral Sliding Mode Control of Nonlinear Systems2169-353610.1109/ACCESS.2021.3123513https://doaj.org/article/db3761f7731c40d19cf6a6e85981082d2021-01-01T00:00:00Zhttps://ieeexplore.ieee.org/document/9590515/https://doaj.org/toc/2169-3536This paper introduces a systematic and comprehensive method to design a constrained fuzzy model predictive control (MPC) cooperated with integral sliding mode control (ISMC) based on the Takagi-Sugeno (T-S) fuzzy model for uncertain continuous-time nonlinear systems subject to external disturbances. The proposed controller benefits from the robustness, optimality, and practical constraints considerations. The robustness against the uncertainties and matched external disturbances is achieved by the proposed ISMC without iterative calculation for obtaining the robust invariant set. The MPC schemes are designed separately based on the both quadratic and non-quadratic Lyapunov functions. By the proposed MPC, the states of the system reach the desired values in the optimal, constrained, and robust manner against the unmatched external disturbances. New linear matrix inequalities (LMIs) conditions are proposed to design both the proposed MPC schemes. Also, the practical constraints on the control signals are guaranteed in the design procedure based on the invariant ellipsoid set. To evaluate the effectiveness of the suggested strategy, some simulation and experimental tests were run.Mohsen FarboodMohammad VeysiMokhtar ShasadeghiAfshin IzadianTaher NiknamJamshid AghaeiIEEEarticleT-S fuzzy models (TSFMs)model predictive control (MPC)integral sliding mode control (ISMC)DC-DC buck converterflexible joint robotElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENIEEE Access, Vol 9, Pp 147874-147887 (2021)
institution DOAJ
collection DOAJ
language EN
topic T-S fuzzy models (TSFMs)
model predictive control (MPC)
integral sliding mode control (ISMC)
DC-DC buck converter
flexible joint robot
Electrical engineering. Electronics. Nuclear engineering
TK1-9971
spellingShingle T-S fuzzy models (TSFMs)
model predictive control (MPC)
integral sliding mode control (ISMC)
DC-DC buck converter
flexible joint robot
Electrical engineering. Electronics. Nuclear engineering
TK1-9971
Mohsen Farbood
Mohammad Veysi
Mokhtar Shasadeghi
Afshin Izadian
Taher Niknam
Jamshid Aghaei
Robustness Improvement of Computationally Efficient Cooperative Fuzzy Model Predictive-Integral Sliding Mode Control of Nonlinear Systems
description This paper introduces a systematic and comprehensive method to design a constrained fuzzy model predictive control (MPC) cooperated with integral sliding mode control (ISMC) based on the Takagi-Sugeno (T-S) fuzzy model for uncertain continuous-time nonlinear systems subject to external disturbances. The proposed controller benefits from the robustness, optimality, and practical constraints considerations. The robustness against the uncertainties and matched external disturbances is achieved by the proposed ISMC without iterative calculation for obtaining the robust invariant set. The MPC schemes are designed separately based on the both quadratic and non-quadratic Lyapunov functions. By the proposed MPC, the states of the system reach the desired values in the optimal, constrained, and robust manner against the unmatched external disturbances. New linear matrix inequalities (LMIs) conditions are proposed to design both the proposed MPC schemes. Also, the practical constraints on the control signals are guaranteed in the design procedure based on the invariant ellipsoid set. To evaluate the effectiveness of the suggested strategy, some simulation and experimental tests were run.
format article
author Mohsen Farbood
Mohammad Veysi
Mokhtar Shasadeghi
Afshin Izadian
Taher Niknam
Jamshid Aghaei
author_facet Mohsen Farbood
Mohammad Veysi
Mokhtar Shasadeghi
Afshin Izadian
Taher Niknam
Jamshid Aghaei
author_sort Mohsen Farbood
title Robustness Improvement of Computationally Efficient Cooperative Fuzzy Model Predictive-Integral Sliding Mode Control of Nonlinear Systems
title_short Robustness Improvement of Computationally Efficient Cooperative Fuzzy Model Predictive-Integral Sliding Mode Control of Nonlinear Systems
title_full Robustness Improvement of Computationally Efficient Cooperative Fuzzy Model Predictive-Integral Sliding Mode Control of Nonlinear Systems
title_fullStr Robustness Improvement of Computationally Efficient Cooperative Fuzzy Model Predictive-Integral Sliding Mode Control of Nonlinear Systems
title_full_unstemmed Robustness Improvement of Computationally Efficient Cooperative Fuzzy Model Predictive-Integral Sliding Mode Control of Nonlinear Systems
title_sort robustness improvement of computationally efficient cooperative fuzzy model predictive-integral sliding mode control of nonlinear systems
publisher IEEE
publishDate 2021
url https://doaj.org/article/db3761f7731c40d19cf6a6e85981082d
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AT mohammadveysi robustnessimprovementofcomputationallyefficientcooperativefuzzymodelpredictiveintegralslidingmodecontrolofnonlinearsystems
AT mokhtarshasadeghi robustnessimprovementofcomputationallyefficientcooperativefuzzymodelpredictiveintegralslidingmodecontrolofnonlinearsystems
AT afshinizadian robustnessimprovementofcomputationallyefficientcooperativefuzzymodelpredictiveintegralslidingmodecontrolofnonlinearsystems
AT taherniknam robustnessimprovementofcomputationallyefficientcooperativefuzzymodelpredictiveintegralslidingmodecontrolofnonlinearsystems
AT jamshidaghaei robustnessimprovementofcomputationallyefficientcooperativefuzzymodelpredictiveintegralslidingmodecontrolofnonlinearsystems
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