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Tuning of Interval Type-2 Fuzzy Precompensated PID Controller: GWO-ABC Algorithm Based Constrained Optimization Approach

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Recent Trends on Type-2 Fuzzy Logic Systems: Theory, Methodology and Applications

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 425))

Abstract

With advances in technology, the control system becomes more complex and enhanced controllers are required for them. Fuzzy based controllers are always preferred for intelligent control of such systems. Fuzzy logic system is developed and advance versions are proposed. The interval type-2 fuzzy logic controller (IT2-FLC) has gained wide recognition for controlling systems with nonlinearities and uncertainties. This chapter presents systematic strategy to get maximum benefit from the shapes of the antecedent MF parameters. For experimental studies the interval type-2 fuzzy precompensated PID (IT2FP-PID) controller is designed for robotic arm and optimized for trajectory tracking problem. Various constraints are considered during optimization procedure. 60 parameters are tuned in a high dimensional problem using recent enhanced algorithm. The robustness of the controller in the presence of external disturbances, measurement noise and parameter variations is investigated. The results are compared with other equivalent counterparts. Minimization of performance metric integral time absolute error (ITAE) is selected as a objective function and hybrid grey wolf optimizer and artificial bee colony algorithm (GWO-ABC) is used.

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References

  1. Aggarwal, A., Rawat, T.K., Upadhyay, D.K.: Design of optimal digital FIR filters using evolutionary and swarm optimization techniques. AEU - Int. J. Electron Commun. 70, 373–85 (2016). https://doi.org/10.1016/j.aeue.2015.12.012

    Article  Google Scholar 

  2. Alavandar, S., Jain, T., Nigam, M.J.: Bacterial foraging optimized hybrid fuzzy precompensated PD control of two link rigid-flexible manipulator. Int. J. Comput. Intell. Syst. 2, 51–9 (2009). https://doi.org/10.2991/jnmp.2009.2.1.6

    Article  Google Scholar 

  3. Angel, L., Viola, J.: Fractional order PID for tracking control of a parallel robotic manipulator type delta. ISA Trans. 79, 172–88 (2018)

    Article  Google Scholar 

  4. Arya, Y., Kumar, N.: A-scaled fractional order fuzzy PID controller applied to AGC of multi- area multi-source electric power generating systems. Swarm Evol. Comput. 32, 2002–218 (2016). https://doi.org/10.1016/j.swevo.2016.08.002

    Article  Google Scholar 

  5. Ate, A., Yeroglu, C.: Optimal fractional order PID design via Tabu search based algorithm. ISA Trans. 60, 109–118 (2016)

    Google Scholar 

  6. Bosque, G., Del Campo, I., Echanobe, J.: Fuzzy systems, neural networks and neuro-fuzzy systems: a vision on their hardware implementation and platforms over two decades. Eng. Appl. Artif. Intell. 32, 283–331 (2014)

    Article  Google Scholar 

  7. Castillo, O., Melin, P.: Genetic optimization of interval type-2 fuzzy systems for hardware implementation on FPGAs. In: Recent Advances in Interval Type-2 Fuzzy Systems. Springer Briefs in Applied Sciences and Technology, vol. 1. Springer, Berlin (2012)

    Google Scholar 

  8. Castillo, O., Melin, P.: A review on interval type-2 fuzzy logic applications in intelligent control. Inf. Sci. (Ny) 279, 615–31 (2014)

    Article  MathSciNet  Google Scholar 

  9. Castillo, O., Amador-Angulo, L., Castro, J.R., Garcia-Valdez, M.: A comparative study of type-1 fuzzy logic systems, interval type-2 fuzzy logic systems and generalized type-2 fuzzy logic systems in control problems. Inf. Sci. (Ny) 354, 257–74 (2016). https://doi.org/10.1016/j.ins.2016.03.026

    Article  Google Scholar 

  10. Craig, J.J.: Introduction to Robotics: Mechanics and Control, 2nd ed. Addison-Wesley Longman Publishing Co., Inc., Boston (1989)

    Google Scholar 

  11. Das, S., Pan, I., Das, S., Gupta, A.: A novel fractional order fuzzy PID controller and its optimal time domain tuning based on integral performance indices. Eng. Appl. Artif. Intell. 25, 430–42 (2012). https://doi.org/10.1016/j.engappai.2011.10.004

    Article  Google Scholar 

  12. Fatihu Hamza, M., Jen Yap, H., Ahmed, C.I.: Cuckoo search algorithm based design of interval Type-2 Fuzzy PID Controller for Furuta pendulum system. Eng. Appl. Artif. Intell. 62, 134–51 (2017). https://doi.org/10.1016/j.engappai.2017.04.007

    Article  Google Scholar 

  13. Gaidhane, P.J., Kumar, A., Nigam, M.: Tuning of two-DOF-FOPID controller for magnetic levitation system: a multi-objective optimization approach. In: 6th IEEE International Conference Computer Application Electrical Engineering - Recent Advances, pp. 497–502 (2017)

    Google Scholar 

  14. Gaidhane, P.J., Nigam, M.J., Kumar, A., Pradhan, P.M.: Design of interval type-2 fuzzy precompensated PID controller applied to two-DOF robotic manipulator with variable payload. In: ISA Transactions. Elsevier (2018)

    Google Scholar 

  15. Gaidhane, P.J., Nigam, M.J.: A hybrid grey wolf optimizer and artificial bee colony algorithm for enhancing the performance of complex systems. J. Comput. Sci. 27, 284–302 (2018). https://doi.org/10.1016/j.jocs.2018.06.008

    Article  Google Scholar 

  16. Hagras, H.: A hierarchical type-2 fuzzy logic control architecture for autonomous mobile robots. IEEE Trans. Fuzzy Syst. 12, 524–39 (2004)

    Article  Google Scholar 

  17. Karaboga, D., Basturk, B.: A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm. J. Glob. Optim. 39, 459–71 (2007)

    Article  MathSciNet  Google Scholar 

  18. Karnik, N.N., Mendel, J.M.: Introduction to type-2 fuzzy logic systems. In: Proceeding IEEE FUZZ Conference, Anchorage (1998)

    Google Scholar 

  19. Karnik, N.N., Mendel, J.M., Liang, Q.: Type-2 fuzzy logic systems. IEEE Trans. Fuzzy Syst. 7, 643–658 (1999)

    Article  Google Scholar 

  20. Khosla, M., Sarin, R., Uddin, M.: Design of an analog CMOS based interval type-2 fuzzy logic controller chip. J. Artif. Intell. Expert. 2, 167–183 (2011)

    Google Scholar 

  21. Kim, D.: An Implementation of fuzzy logic controller on the reconfigurable FPGA system. IEEE Trans. Ind. Electron. 47, 703–715 (2000)

    Article  Google Scholar 

  22. Kim, J., Park, J., Lee, S., Chong, E.K.P.: Fuzzy precompensation of PD controllers for systems with deadzones. J. Intell. Fuzzy Syst. 1, 125–33 (1993)

    Article  Google Scholar 

  23. Kim, J.H., Kim, K.C., Chong, E.K.P.: Fuzzy precompensated PID controllers. IEEE Trans. Control Syst. Technol. 2, 406–11 (1994). https://doi.org/10.1109/87.338660

    Article  Google Scholar 

  24. Kishor, A., Singh, P.K.: Empirical study of grey wolf optimizer. Adv. Intell. Syst. Comput. 436, 1037–49 (2016). https://doi.org/10.1007/978-981-10-0448-3-87

    Article  Google Scholar 

  25. Kumar, A., Gaidhane, P.J., Kumar, V.: A nonlinear fractional order pid controller applied to redundant robot manipulator. In: 6th IEEE International Conference Computer Application Electrical Engineering - Recent advances, pp. 545–550 (2017)

    Google Scholar 

  26. Kumar, A., Kumar, V.: Evolving an interval type-2 fuzzy PID controller for the redundant robotic manipulator. Expert Syst. Appl. 73, 161–77 (2016). https://doi.org/10.1016/j.eswa.2016.12.029

    Article  Google Scholar 

  27. Kumar, A., Kumar, V.: A novel interval type-2 fractional order fuzzy PID controller: design, performance evaluation, and its optimal time domain tuning. ISA Trans. 68, 251–75 (2017). https://doi.org/10.1016/j.isatra.2017.03.022

    Article  Google Scholar 

  28. Kumbasar, T., Hagras, H.: Big Bang-Big Crunch optimization based interval type-2 fuzzy PID cascade controller design strategy. Inf. Sci. (Ny) 282, 277–95 (2014). https://doi.org/10.1016/j.ins.2014.06.005

    Article  Google Scholar 

  29. Kumbasar, T., Hagras, H.: Interval Type-2 Fuzzy PID Controllers, pp. 285–94. Springer Handbook of Computational Intelligence, Berlin (2015)

    Google Scholar 

  30. Mendel, J.M., Hagras, H., John, R.I.: Standard background material about interval type-2 fuzzy logic systems that can be used by all authors. IEEE Comput. Intell. Soc. 1–11 (2010)

    Google Scholar 

  31. Mendel, J.M., John, R.I., Liu, F.: Interval type-2 fuzzy logic systems made simple. IEEE Trans. Fuzzy Syst. 14, 808–21 (2006)

    Article  Google Scholar 

  32. Meza, J.L., Santibez, V., Soto, R., Llama, M.A.: Fuzzy self-tuning PID semiglobal regulator for robot manipulators. IEEE Trans. Ind. Electron 59, 2709–2717 (2012)

    Google Scholar 

  33. Mirjalili, S., Mirjalili, S.M., Lewis, A.: Grey Wolf optimizer. Adv. Eng. Softw. 69, 46–61 (2014)

    Article  Google Scholar 

  34. Pan, I., Das, S.: Fractional order fuzzy control of hybrid power system with renewable generation using chaotic PSO. ISA Trans. 62, 19–29 (2016). https://doi.org/10.1016/j.isatra.2015.03.003

    Article  Google Scholar 

  35. Pan, I., Das, S., Gupta, A.: Tuning of an optimal fuzzy PID controller with stochastic algorithms for networked control systems with random time delay. ISA Trans. 50, 28–36 (2011). https://doi.org/10.1016/j.isatra.2010.10.005

    Article  Google Scholar 

  36. Sharma, R., Gaur, P., Mittal, A.P.: Performance analysis of two-degree of freedom fractional order PID controllers for robotic manipulator with payload. ISA Trans. 58, 279–91 (2015). https://doi.org/10.1016/j.isatra.2015.03.013

    Article  Google Scholar 

  37. Sharma, R., Gaur, P., Mittal, A.P.: Design of two-layered fractional order fuzzy logic controllers applied to robotic manipulator with variable payload. Appl. Soft Comput. J. 47, 565–76 (2016). https://doi.org/10.1016/j.asoc.2016.05.043

    Article  Google Scholar 

  38. Taskin, A., Kumbasar, T.: An open source Matlab/simulink toolbox for interval type-2 fuzzy logic systems. Comput. Intell 2015 IEEE Symp. Ser. 2015, 1561–1568. https://doi.org/10.1109/SSCI.2015.220

  39. Wu, D., Mendel, J.M.: Enhanced Karnik - Mendel algorithms. IEEE Trans. Fuzzy Syst. 17, 923–34 (2009)

    Article  Google Scholar 

  40. Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning-I. Inform. Sci. 8, 199–249 (1975)

    Article  MathSciNet  Google Scholar 

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Correspondence to Prashant Gaidhane .

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Gaidhane, P., Kumar, A., Raj, R. (2023). Tuning of Interval Type-2 Fuzzy Precompensated PID Controller: GWO-ABC Algorithm Based Constrained Optimization Approach. In: Castillo, O., Kumar, A. (eds) Recent Trends on Type-2 Fuzzy Logic Systems: Theory, Methodology and Applications. Studies in Fuzziness and Soft Computing, vol 425. Springer, Cham. https://doi.org/10.1007/978-3-031-26332-3_6

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