Enhancing stability control of inverted pendulum using Takagi–Sugeno fuzzy model with disturbance rejection and input–output constraints

Abstract The Takagi–Sugeno (T–S) fuzzy model is a versatile approach widely used in system control, often in combination with other strategies. This paper addresses key control challenges linked to the T–S system and presents important considerations to ensure its successful application using the Ly...

Full description

Bibliographic Details
Main Authors: Thi-Van-Anh Nguyen, Bao-Trung Dong, Ngoc-Tam BUI
Format: Article
Language:English
Published: Nature Portfolio 2023-09-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-023-41258-3
_version_ 1797453028599529472
author Thi-Van-Anh Nguyen
Bao-Trung Dong
Ngoc-Tam BUI
author_facet Thi-Van-Anh Nguyen
Bao-Trung Dong
Ngoc-Tam BUI
author_sort Thi-Van-Anh Nguyen
collection DOAJ
description Abstract The Takagi–Sugeno (T–S) fuzzy model is a versatile approach widely used in system control, often in combination with other strategies. This paper addresses key control challenges linked to the T–S system and presents important considerations to ensure its successful application using the Lyapunov theorem. One crucial aspect is determining the optimal number of premise variables and selecting accurate fuzzy rules for the T–S model. Additionally, the theorem based on Linear Matrix Inequality (LMI) is developed to enable effective disturbance rejection. To enhance stability control, constraints are imposed on the output angle and control input of a rotary inverted pendulum (RIP). By integrating T–S fuzzy control, disturbance rejection, and input/output constraints, robust stability in controlling the RIP is achieved. Extensive simulations are performed to showcase the efficiency of the suggested method, and the simulation results are thoroughly discussed and analyzed to verify the efficacy of the control method.
first_indexed 2024-03-09T15:16:59Z
format Article
id doaj.art-c8cb5b76e3d64080b414b0ddc0ac013a
institution Directory Open Access Journal
issn 2045-2322
language English
last_indexed 2024-03-09T15:16:59Z
publishDate 2023-09-01
publisher Nature Portfolio
record_format Article
series Scientific Reports
spelling doaj.art-c8cb5b76e3d64080b414b0ddc0ac013a2023-11-26T13:03:00ZengNature PortfolioScientific Reports2045-23222023-09-0113112010.1038/s41598-023-41258-3Enhancing stability control of inverted pendulum using Takagi–Sugeno fuzzy model with disturbance rejection and input–output constraintsThi-Van-Anh Nguyen0Bao-Trung Dong1Ngoc-Tam BUI2Hanoi University of Science and TechnologyHanoi University of Science and TechnologyShibaura Institute of TechnologyAbstract The Takagi–Sugeno (T–S) fuzzy model is a versatile approach widely used in system control, often in combination with other strategies. This paper addresses key control challenges linked to the T–S system and presents important considerations to ensure its successful application using the Lyapunov theorem. One crucial aspect is determining the optimal number of premise variables and selecting accurate fuzzy rules for the T–S model. Additionally, the theorem based on Linear Matrix Inequality (LMI) is developed to enable effective disturbance rejection. To enhance stability control, constraints are imposed on the output angle and control input of a rotary inverted pendulum (RIP). By integrating T–S fuzzy control, disturbance rejection, and input/output constraints, robust stability in controlling the RIP is achieved. Extensive simulations are performed to showcase the efficiency of the suggested method, and the simulation results are thoroughly discussed and analyzed to verify the efficacy of the control method.https://doi.org/10.1038/s41598-023-41258-3
spellingShingle Thi-Van-Anh Nguyen
Bao-Trung Dong
Ngoc-Tam BUI
Enhancing stability control of inverted pendulum using Takagi–Sugeno fuzzy model with disturbance rejection and input–output constraints
Scientific Reports
title Enhancing stability control of inverted pendulum using Takagi–Sugeno fuzzy model with disturbance rejection and input–output constraints
title_full Enhancing stability control of inverted pendulum using Takagi–Sugeno fuzzy model with disturbance rejection and input–output constraints
title_fullStr Enhancing stability control of inverted pendulum using Takagi–Sugeno fuzzy model with disturbance rejection and input–output constraints
title_full_unstemmed Enhancing stability control of inverted pendulum using Takagi–Sugeno fuzzy model with disturbance rejection and input–output constraints
title_short Enhancing stability control of inverted pendulum using Takagi–Sugeno fuzzy model with disturbance rejection and input–output constraints
title_sort enhancing stability control of inverted pendulum using takagi sugeno fuzzy model with disturbance rejection and input output constraints
url https://doi.org/10.1038/s41598-023-41258-3
work_keys_str_mv AT thivananhnguyen enhancingstabilitycontrolofinvertedpendulumusingtakagisugenofuzzymodelwithdisturbancerejectionandinputoutputconstraints
AT baotrungdong enhancingstabilitycontrolofinvertedpendulumusingtakagisugenofuzzymodelwithdisturbancerejectionandinputoutputconstraints
AT ngoctambui enhancingstabilitycontrolofinvertedpendulumusingtakagisugenofuzzymodelwithdisturbancerejectionandinputoutputconstraints