Proportional PDC Design-Based Robust Stabilization and Tracking Control Strategies for Uncertain and Disturbed T-S Model
This paper presents a proportional parallel distributed compensation (PPDC) design to the robust stabilization and tracking control of the nonlinear dynamic system, which is described by the uncertain and perturbed Takagi–Sugeno (T-S) fuzzy model. The proposed PPDC control design can greatly reduce...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/8910132 |
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| author | Chekib Ghorbel Amira Tiga Naceur Benhadj Braiek |
| author_facet | Chekib Ghorbel Amira Tiga Naceur Benhadj Braiek |
| author_sort | Chekib Ghorbel |
| collection | DOAJ |
| description | This paper presents a proportional parallel distributed compensation (PPDC) design to the robust stabilization and tracking control of the nonlinear dynamic system, which is described by the uncertain and perturbed Takagi–Sugeno (T-S) fuzzy model. The proposed PPDC control design can greatly reduce the number of adjustable parameters involved in the original PDC and separate them from the feedback gain. Furthermore, the process of finding the common quadratic Lyapunov matrix is simplified. Then, the global asymptotic stability with decay rate and disturbance attenuation of the closed-loop T-S model affected by uncertainties and external disturbances are discussed using the H∞ synthesis and linear matrix inequality (LMI) tools. Finally, to illustrate the merit of our purpose, numerical simulation studies of stabilizing and tracking an inverted pendulum system are presented. |
| format | Article |
| id | doaj-art-af4211501f934bcf8f50f2bceb82e82a |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-af4211501f934bcf8f50f2bceb82e82a2025-02-03T01:04:15ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/89101328910132Proportional PDC Design-Based Robust Stabilization and Tracking Control Strategies for Uncertain and Disturbed T-S ModelChekib Ghorbel0Amira Tiga1Naceur Benhadj Braiek2Laboratory of Advanced Systems, Polytechnic High School of Tunisia, University of Carthage, BP 743 2078 La Marsa, Tunis, TunisiaLaboratory of Advanced Systems, Polytechnic High School of Tunisia, University of Carthage, BP 743 2078 La Marsa, Tunis, TunisiaLaboratory of Advanced Systems, Polytechnic High School of Tunisia, University of Carthage, BP 743 2078 La Marsa, Tunis, TunisiaThis paper presents a proportional parallel distributed compensation (PPDC) design to the robust stabilization and tracking control of the nonlinear dynamic system, which is described by the uncertain and perturbed Takagi–Sugeno (T-S) fuzzy model. The proposed PPDC control design can greatly reduce the number of adjustable parameters involved in the original PDC and separate them from the feedback gain. Furthermore, the process of finding the common quadratic Lyapunov matrix is simplified. Then, the global asymptotic stability with decay rate and disturbance attenuation of the closed-loop T-S model affected by uncertainties and external disturbances are discussed using the H∞ synthesis and linear matrix inequality (LMI) tools. Finally, to illustrate the merit of our purpose, numerical simulation studies of stabilizing and tracking an inverted pendulum system are presented.http://dx.doi.org/10.1155/2020/8910132 |
| spellingShingle | Chekib Ghorbel Amira Tiga Naceur Benhadj Braiek Proportional PDC Design-Based Robust Stabilization and Tracking Control Strategies for Uncertain and Disturbed T-S Model Complexity |
| title | Proportional PDC Design-Based Robust Stabilization and Tracking Control Strategies for Uncertain and Disturbed T-S Model |
| title_full | Proportional PDC Design-Based Robust Stabilization and Tracking Control Strategies for Uncertain and Disturbed T-S Model |
| title_fullStr | Proportional PDC Design-Based Robust Stabilization and Tracking Control Strategies for Uncertain and Disturbed T-S Model |
| title_full_unstemmed | Proportional PDC Design-Based Robust Stabilization and Tracking Control Strategies for Uncertain and Disturbed T-S Model |
| title_short | Proportional PDC Design-Based Robust Stabilization and Tracking Control Strategies for Uncertain and Disturbed T-S Model |
| title_sort | proportional pdc design based robust stabilization and tracking control strategies for uncertain and disturbed t s model |
| url | http://dx.doi.org/10.1155/2020/8910132 |
| work_keys_str_mv | AT chekibghorbel proportionalpdcdesignbasedrobuststabilizationandtrackingcontrolstrategiesforuncertainanddisturbedtsmodel AT amiratiga proportionalpdcdesignbasedrobuststabilizationandtrackingcontrolstrategiesforuncertainanddisturbedtsmodel AT naceurbenhadjbraiek proportionalpdcdesignbasedrobuststabilizationandtrackingcontrolstrategiesforuncertainanddisturbedtsmodel |