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...
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Format: | Article |
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Nature Portfolio
2023-09-01
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Series: | Scientific Reports |
Online Access: | https://doi.org/10.1038/s41598-023-41258-3 |
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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 |