journal article·2019-03-23Open access

An Optimal Fuzzy PID Controller Design Based on Conventional PID Control and Nonlinear Factors

Chun-Tang Chao, Nana Sutarna, Juing-Shian Chiou, Chi-Jo Wang

Applied Sciences· Volume 9· Issue 6

Abstract

This paper proposes an optimal fuzzy proportional–integral–derivative (PID) controller design based on conventional PID control and nonlinear factors. With the equivalence between fuzzy logic controllers (FLCs) and conventional PID controllers, a conventional PID controller design can be rapidly transformed into an equivalent FLC by defining the operating ranges of the input/output of the controller. The proposed nonlinear factors can further tune the nonlinearity of the membership functions (MFs) distributed in the operating ranges. In this manner, a fuzzy PID controller can be developed with less parameters and optimized by using the genetic algorithm (GA). In addition, the aforementioned equivalent FLC can act as one individual in the initial population of GA, and significantly enhances the GA efficiency. Simulation results demonstrate the feasibility of this technique. This resulted in an optimal fuzzy PID controller design with only eight parameters with a concise controller structure, and most importantly, the optimal fuzzy PID controller design is now more systematic.
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Research context

OpenAlex topics: Advanced Control Systems Design · Fuzzy Logic and Control Systems · Advanced Control Systems Optimization

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Affiliations

Department of Electrical Engineering, Southern Taiwan University of Science and Technology, 1, Nan-Tai St., Yongkang District, Tainan City 71005, Taiwan

Funding

Ministry of Science and Technology, Taiwan

References (23)

Show source-provided references
1. Optimum settings for automatic controllers
2. Yan, K., and Mo, H. (2018, January 18–20). Application of fuzzy control under time varying universe in unmanned vehicles. Proceedings of the 33rd Youth Academic Annual Conference of Chinese Association of Automation (YAC), Nanjing, China.10.1109/YAC.2018.8406414 ↗
3. New methodology for analytical and optimal design of fuzzy PID controllers10.1109/91.797977 ↗
4. An optimal fuzzy PID controller10.1109/41.937407 ↗
5. Sebastiao, A., Lucena, C., Palm, L., Cardoso, A., and Gil, P. (2015, January 20–22). Optimal tuning of scaling factors and membership functions for mamdani type PID Fuzzy controllers. Proceedings of the IEEE International Conference on Control, Automation and Robotics, Singapore.10.1109/ICCAR.2015.7166009 ↗
6. Optimal design for fuzzy controllers by genetic algorithms10.1109/28.821802 ↗
7. Tuning fuzzy membership functions to improve performance of vector control induction drives
8. Kapetanovic, N., Osmic, N., and Konjicija, S. (2014, January 27–29). Optimization of membership functions of Sugeno_Takagi fuzzy logic controllers with two inputs and one input using genetic algorithms. Proceedings of the IEEE x International Symposium on Telecommunications (BIHTL), Sarajevo, Bosnia and Herzegovina.10.1109/BIHTEL.2014.6987656 ↗
9. Pelusi, D., Vazquez, L., Diaz, D., and Mascella, R. (2013, January 2–4). Fuzzy algorithm control effectiveness on drum boiler simulated dynamics. Proceedings of the 2013 36th International Conference on Telecommunications and Signal Processing (TSP), Rome, Italy.10.1109/TSP.2013.6613935 ↗
10. Modeling of genetic algorithm based fuzzy logic controller for quasi-resonant converter fed drive
11. Chen, S.M., and Chang, Y.C. (2010, January 11–14). A new weighted fuzzy rule interpolation method based on GA-based weights-learning techniques. Proceedings of the Ninth International Conference on Machine Learning and Cybernetics, Qingdao, China.10.1109/ICMLC.2010.5580943 ↗
12. Al-Gizi, A., Craciunescu, A., and Al-Chlaihawi, S. (2017, January 25–27). Improving the performance of PV system using genetically-tuned FLC based MPPT. Proceedings of the 2017 International Conference on Optimization of Electrical and Electronic Equipment (OPTIM), Brasov, Romania.10.1109/OPTIM.2017.7975041 ↗
13. Gritli, W., Gharsallaoui, H., and Benrejeb, M. (2016, January 6–8). PID-type fuzzy scaling factors tuning using genetic algorithm and simulink design optimization for electronic throttle valve. Proceedings of the IEEE International Conference on Control, Design and Information Technologies (CoDIT), St. Julian’s, Malta.10.1109/CoDIT.2016.7593563 ↗
14. Numerical simulation for Fuzzy-PID controllers and helping EP reproduction with PSO hybrid algorithm10.1016/j.simpat.2009.05.006 ↗
15. Design and Implementation of optimal Fuzzy PID controller for DC servo motor10.12785/amis/081L29 ↗
16. Chao, C.T., Sutarna, N., Chiou, J.S., and Wang, C.J. (2017). Equivalence between Fuzzy PID controllers and conventional PID controllers. Appl. Sci., 7.10.3390/app7060513 ↗
17. Pelusi, D. (2011, January 26–27). Optimization of fuzzy logic controller using genetic algorithms. Proceedings of the IEEE Third International Conference on Intelligent Human-Machine Systems and Cybernetics (IHMSC), Hangzhou, China.10.1109/IHMSC.2011.105 ↗
18. Designing neural networks to improve timing performances of intelligent controllers10.1080/09720529.2013.821333 ↗
19. Optimal control algorithms for second order systems10.3844/jcssp.2013.183.197 ↗
20. Design and analysis of DC motor speed control by GA based tuning of fuzzy logic controller
21. Al-Maliki, A.Y., and Iqbal, K. (2018, January 20–22). FLC-based PID controller tuning for sensorless speed control of DC motor. Proceedings of the IEEE International Conference on Industrial Technology (ICIT), Lyon, France.10.1109/ICIT.2018.8352171 ↗
22. PID parameters optimization by using genetic algorithm
23. Neural network and fuzzy system for the tuning of gravitational search algorithm parameters10.1016/j.eswa.2018.02.026 ↗