Optimal Fuzzy Proportional-Integral-Derivative Control for a Class of Fourth-Order Nonlinear Systems using Imperialist Competitive Algorithms
The proportional integral derivative (PID) controller has gained wide acceptance and use as the most useful control approach in the industry. However, the PID controller lacks robustness to uncertainties and stability under disturbances. To address this problem, this paper proposes an optimal fuzzy-...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/3554897 |
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| author | S. Hadipour Lakmesari Z. Safipour M. J. Mahmoodabadi Yousef Ibrahim Saleh Mobayen |
| author_facet | S. Hadipour Lakmesari Z. Safipour M. J. Mahmoodabadi Yousef Ibrahim Saleh Mobayen |
| author_sort | S. Hadipour Lakmesari |
| collection | DOAJ |
| description | The proportional integral derivative (PID) controller has gained wide acceptance and use as the most useful control approach in the industry. However, the PID controller lacks robustness to uncertainties and stability under disturbances. To address this problem, this paper proposes an optimal fuzzy-PID technique for a two-degree-of-freedom cart-pole system. Fuzzy rules can be combined with controllers such as PID to tune their coefficients and allow the controller to deliver substantially improved performance. To achieve this, the fuzzy logic method is applied in conjunction with the PID approach to provide essential control inputs and improve the control algorithm efficiency. The achieved control gains are then optimized via the imperialist competitive algorithm. Consequently, the objective function for the cart-pole system is regarded as the summation of the displacement error of the cart, the angular error of the pole, and the control force. This control concept has been tested via simulation and experimental validations. Obtained results are presented to confirm the accuracy and efficiency of the suggested method. |
| format | Article |
| id | doaj-art-3166c96272b240c1a5e4e6f41ad547f4 |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-3166c96272b240c1a5e4e6f41ad547f42025-02-03T01:07:56ZengWileyComplexity1099-05262022-01-01202210.1155/2022/3554897Optimal Fuzzy Proportional-Integral-Derivative Control for a Class of Fourth-Order Nonlinear Systems using Imperialist Competitive AlgorithmsS. Hadipour Lakmesari0Z. Safipour1M. J. Mahmoodabadi2Yousef Ibrahim3Saleh Mobayen4Department of Mechanical EngineeringDepartment of Mechanical EngineeringDepartment of Mechanical EngineeringSchool of Engineering and Information TechnologyGraduate School of Intelligent Data ScienceThe proportional integral derivative (PID) controller has gained wide acceptance and use as the most useful control approach in the industry. However, the PID controller lacks robustness to uncertainties and stability under disturbances. To address this problem, this paper proposes an optimal fuzzy-PID technique for a two-degree-of-freedom cart-pole system. Fuzzy rules can be combined with controllers such as PID to tune their coefficients and allow the controller to deliver substantially improved performance. To achieve this, the fuzzy logic method is applied in conjunction with the PID approach to provide essential control inputs and improve the control algorithm efficiency. The achieved control gains are then optimized via the imperialist competitive algorithm. Consequently, the objective function for the cart-pole system is regarded as the summation of the displacement error of the cart, the angular error of the pole, and the control force. This control concept has been tested via simulation and experimental validations. Obtained results are presented to confirm the accuracy and efficiency of the suggested method.http://dx.doi.org/10.1155/2022/3554897 |
| spellingShingle | S. Hadipour Lakmesari Z. Safipour M. J. Mahmoodabadi Yousef Ibrahim Saleh Mobayen Optimal Fuzzy Proportional-Integral-Derivative Control for a Class of Fourth-Order Nonlinear Systems using Imperialist Competitive Algorithms Complexity |
| title | Optimal Fuzzy Proportional-Integral-Derivative Control for a Class of Fourth-Order Nonlinear Systems using Imperialist Competitive Algorithms |
| title_full | Optimal Fuzzy Proportional-Integral-Derivative Control for a Class of Fourth-Order Nonlinear Systems using Imperialist Competitive Algorithms |
| title_fullStr | Optimal Fuzzy Proportional-Integral-Derivative Control for a Class of Fourth-Order Nonlinear Systems using Imperialist Competitive Algorithms |
| title_full_unstemmed | Optimal Fuzzy Proportional-Integral-Derivative Control for a Class of Fourth-Order Nonlinear Systems using Imperialist Competitive Algorithms |
| title_short | Optimal Fuzzy Proportional-Integral-Derivative Control for a Class of Fourth-Order Nonlinear Systems using Imperialist Competitive Algorithms |
| title_sort | optimal fuzzy proportional integral derivative control for a class of fourth order nonlinear systems using imperialist competitive algorithms |
| url | http://dx.doi.org/10.1155/2022/3554897 |
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