Journal Press India®

Modeling of Self Tuned Fuzzy Proportional Integral Derivative Controller

https://doi.org/10.51976/jfsa.422103

Author Details ( * ) denotes Corresponding author

1. * Arunesh Kumar Srivastava, Department of Mechanical Engineering, M.G Institute of Management & Technology, Lucknow, Uttar Pradesh, India (arunesh_srivastava15@yahoo.com)

As the number of connections and the complexity of the manipulator system rose, it became more difficult for the control engineers to manage such a manipulator system, requiring the employment of a separate control system to govern the manipulator's position and velocity. Using different mathematical equations, this work investigates a self-tuned fuzzy PID (STFPID) controller that is capable of following trajectories and suppressing noise. A dynamic model for a two-link stiff robotic manipulator has been built in Simulink and used to drive the plant, and the STFPID controller is being used to do so. Genetic Algorithm is being used to tune the controller and we are using IAE (integral absolute errors) as an objective function in order to obtain the least amount of error and we have determined that STFPID has the least value of error as compared to the other three controllers. A fuzzy logic controller's ability to manage uncertainty is facilitated by its ability to climb in time quickly and to minimize overshoot.

Keywords

Self Tunned Controller; Objective Function; Integral Absolute Error; Dynamic Modelling; Genetic Algorithm

  1. R. Sharma, K.P.S. Rana and V. Kumar, Performance analysis of fractional order fuzzy PID controllers applied to a robotic Manipulator, Expert Systems with Applications 41(9) 725 (2014), 4274–4289. 726
  2. V. Kumar, K.P.S. Rana, J. Kumar. Mishra and S.S. Nair, A robust fractional order fuzzy P+ fuzzy I+ fuzzy D controller for nonlinear and uncertain system, International Journal of Automation and Computing 14(4) (2016), 474–488.
  3. V. Kumar and K.P.S. Rana, Nonlinear adaptive fractional order fuzzy PID control of a 2-link planar rigid manipulator with payload, Journal of the Franklin Institute 354 (2017), 993–1022.
  4. Jitendra Kumar, Vineet Kumar and KPS Rana, A Fractional Order Fuzzy PD+I Controller for Three Link Electrically Driven Rigid Robotic Manipulator System, Journal of Intelligent and Fuzzy Systems, IOS Press, Netherlands (SCI Index, Impact factor – 1.261)
  5. Weile, D. S., & Michielssen, E. Genetic Algorithm Optimization applied to electromagnetics, a review. IEEE Transactions on Antennas and Propagation, 45(3) (1997) 343-353.
  6. Kong, Z., Jia, W., Zhang, G., & Wang, L, Normal parameter reduction in soft set based on particle swarm optimization algorithm, Applied Mathematical Modelling, 39 (2015) 4808-4820.
  7. Ghanbari, A., Kazemi, S.M.R, Mehmanpazir, F., & Nakhostin, M.M. A cooperative ant colony optimization-genetic algorithm approach for construction of energy demand forecasting knowledge based expert systems, Knowledge-Based Systems, 39 (2013) 194-206
  8. Jagatheesan, K., Anand, B., Samanta, S., Dey, N., Ashour, A. S., & Balas, V. E. Design of a proportional-integral-derivative controller for an automatic generation control of multi-area power thermal systems using firefly algorithm, IEEE/CAA Journal of Automatica Sinica, 1-14 (2017) DOI:10.1109/JAS.2017.7510436.
  9. Yang, X. S., & Deb, Cuckoo Search via Lévy Flights. Proceedings World Congress on Nature & Biologically Inspired Computing, India,(2009) 210-214
  10. Yang, X. S, & Gandomi, A. H., Bat-algorithm, a novel approach for global engineering optimization. Engineering Computations, 29(5) (2012)464-483
  11. Ohtani, Y., & Yoshimura, Fuzzy control of a manipulator using the concept of sliding mode, International Journal of Systems Science, 27 (2) (1996) 179-186.
  12. Hazzab, A., Bousserhane, I. K., Zerbo, M., & Sicard, P,Real-time implementation of fuzzy gain scheduling of PI controller for induction motor machine control, Neural Processing Letters, 24 (2006) 203-215
  13. Investigate the optimal combination of process parameters for EDM by using a grey relational analysis, M Tiwari, K Mausam, K Sharma, RP Singh, Procedia Materials Science 5, 1736-1744
  14. Tiwari, M., Mausam, K., Sharma, K., & Singh, R. P. (2014). Investigate the Optimal Combination of Process Parameters for EDM by Using a Grey Relational Analysis. Procedia Materials Science, 5, 1736–1744. https://doi.org/10.1016/J.MSPRO.2014.07.363
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