Skip to main content

Emerging Areas in Intelligent Fuzzy Control and Future Research Scopes

  • Chapter
  • First Online:
Intelligent Control

Abstract

In this book, a detailed description has been carried out for a particular class of nonlinear systems, as mentioned in Chap. 3 [1,2,3,4]. However, the presented hybrid stable adaptive fuzzy control methodologies can be potentially applied to other classes of the system as well. In this book, the hybrid design methodologies utilize the Lyapunov theory -based adaptation, as presented in Chap. 3 [5], and H-based robust adaptation, as presented in Chap. 6 [6]. Other formulations of the adaptive control strategy [7,8,9,10,11] may also be utilized to design the adaptive fuzzy controllers using the presented hybrid strategies, and their relative performance evaluations may be evaluated in future.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 139.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 179.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 179.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. K. Das Sharma, A. Chatterjee, F. Matsuno, A Lyapunov theory and stochastic optimization based stable adaptive fuzzy control methodology, in Proceedings of SICE Annual Conference 2008, Japan, August 20–22, pp. 1839–1844

    Google Scholar 

  2. K. Das Sharma, A. Chatterjee, A. Rakshit, A hybrid approach for design of stable adaptive fuzzy controllers employing Lyapunov theory and particle swarm optimization. IEEE Trans. Fuzzy Syst. 17(2), 329–342 (2009)

    Article  Google Scholar 

  3. K. Das Sharma, Hybrid methodologies for stable adaptive fuzzy control. PhD dissertation, Jadavpur University, 2012

    Google Scholar 

  4. K. Das Sharma, A. Chatterjee, A. Rakshit, Design of a hybrid stable adaptive fuzzy controller employing Lyapunov theory and harmony search algorithm. IEEE Trans. Contr. Syst. Technol. 18(6), 1440–1447 (2010)

    Google Scholar 

  5. L.X. Wang, Stable adaptive fuzzy control of nonlinear system. IEEE Trans. Fuzzy Syst. 1(2), 146–155 (1993)

    Google Scholar 

  6. B.S. Chen, C.H. Lee, Y.C. Chang, H-infinity tracking design of uncertain nonlinear SISO systems: adaptive fuzzy approach. IEEE Trans. Fuzzy Syst. 4(1), 32–43 (1996)

    Article  Google Scholar 

  7. K. Tanaka, Design of model-based fuzzy controller using Lyapunov’s stability approach and its application to trajectory stabilization of a model car, in Theoretical Aspects of Fuzzy Control, ed. by H.T. Nguyen, M. Sugeno, R. Tong, R.R. Yager (Wiley, New York, 1995), pp. 31–50

    Google Scholar 

  8. G. Feng, Stability analysis of discrete time fuzzy dynamic systems based on piecewise Lyapunov functions. IEEE Trans. Fuzzy Syst. 12(1), 22–28 (2004)

    Article  MathSciNet  Google Scholar 

  9. K. Tanaka, T. Hori, H.O. Wang, A multiple Lyapunov function approach to stabilization of fuzzy control systems. IEEE Trans. Fuzzy Syst. 11(4), 582–589 (2003)

    Article  Google Scholar 

  10. D.L. Tsay, H.Y. Chung, C.J. Lee, The adaptive control of nonlinear systems using the Sugeno-type of fuzzy logic. IEEE Trans. Fuzzy Syst. 7(2), 225–229 (1999)

    Article  Google Scholar 

  11. T. Egami, H. Morita, Efficiency optimized model reference adaptive control system for a DC motor. IEEE Trans. Ind. Electron. 37(1), 28–33 (1990)

    Article  Google Scholar 

  12. K. Fischle, D. Schroder, An improved stable adaptive fuzzy control method. IEEE Trans. Fuzzy Syst. 7(1), 27–40 (1999)

    Article  Google Scholar 

  13. B.S. Chen, C.L. Tsai, D.S. Chen, Robust H and mixed H2/H filters for equalization designs of nonlinear communication systems: fuzzy interpolation approach. IEEE Trans. Fuzzy Syst. 11(3), 384–398 (2003)

    Article  Google Scholar 

  14. K. Das Sharma, A. Chatterjee, P. Siarry, A. Rakshit CMA—H hybrid design of robust stable adaptive fuzzy controllers for non-linear systems, in Proceedings of 1st International Conference on Frontiers in Optimization: Theory and Applications (FOTA-2016), Kolkata, India, 2016 (in press)

    Google Scholar 

  15. V. Giordano, D. Naso, B. Turchiano, Combining genetic algorithm and Lyapunov-based adaptation for online design of fuzzy controllers. IEEE Trans. Syst. Man Cybern. B Cybern. 36(5), 1118–1127 (2006)

    Google Scholar 

  16. C.A.C. Coello, A short tutorial on evolutionary multi-objective optimization, in Proceedings of 1st International Conference on Evolutionary Multi-Criterion Optimization, (EMO 2001), vol. 1993 (LNCS, 2001), pp. 21–40

    Google Scholar 

  17. K. Deb, A. Pratap, S. Agarwal, T. Meyarivan, A fast and elitist multi-objective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6(2), 182–197 (2002)

    Article  Google Scholar 

  18. K. Deb, Multi-Objective Optimization Using Evolutionary Algorithms (Wiley, New York, NY, USA, 2001)

    MATH  Google Scholar 

  19. T. Murata, H. Ishibuchi, M. Gen, Specification of genetic search directions in cellular multi-objective genetic algorithms, in Proceedings of 1st International Conference on Evolutionary Multi-Criterion Optimization, (EMO 2001), vol. 1993 (LNCS, 2001), pp. 82–95

    Google Scholar 

  20. S. Kirkpatrick, C.D. Gelatt, M.P. Vecchi, Optimization by simulated annealing. Science 220(4598), 671–680 (1983)

    Article  MathSciNet  Google Scholar 

  21. R. Storn, K. Price, Differential evolution—a simple and efficient adaptive scheme for global optimization over continuous spaces, reported in Technical report, Int. Comp. Sci. Inst., Berkley, 1995

    Google Scholar 

  22. F. Glover, Future paths for integer programming and links to artificial intelligence. Comput. Oper. Res. 13(5), 533–549 (1986)

    Article  MathSciNet  Google Scholar 

  23. A. Colorni, M. Dorigo, V. Maniezzo, Distributed optimization by ant colonies, in Proceedings of 1st European Conference on Artificial Life (Elsevier Publishing, Paris, France, 1991), pp. 134–142

    Google Scholar 

  24. X. Yang, Firefly algorithms for multimodal optimization. Stochastic algorithms: foundations and applications, Springer Berlin Heidelberg. pp. 169–178, 2009

    Google Scholar 

  25. E. Rashedi, H. Nezamabadi-pour, S. Saryazdi, GSA: a gravitational search algorithm. Inf. Sci. 179(13), 2232–2248 (2009)

    Article  Google Scholar 

  26. S. Mirjalili, S.M. Mirjalili, A. Lewis, Grey wolf optimizer. Adv. Eng. Softw. 69(3), 46–61 (2014)

    Article  Google Scholar 

  27. K. Das Sharma, in A Comparison among Multi-Agent Stochastic Optimization Algorithms for State Feedback Regulator Design of a Twin Rotor MIMO System. Handbook of Research on Natural Computing for Optimization Problems (IGI Global, 2016), pp. 409–448

    Google Scholar 

  28. D. Valério, J. S. Da Costa, Time-domain implementation of fractional order controllers. IEE Proc. Control Theory Appl. 152(5), 539–552 (2005)

    Google Scholar 

  29. D. Biswas, K. Das Sharma, G. Sarkar, Stable adaptive NSOF domain FOPID controller for a class of non-linear systems. IET Control Theory Appl. https://doi.org/10.1049/iet-cta.2017.0732

  30. K.J. Astrom, B. Wittenmark, Adaptive Control, 2nd edn. (Dover Publications, New York, 2001)

    Google Scholar 

  31. K. Narendra, A. Annaswamy, Stable Adaptive Systems (Prentice Hall, USA, 1986)

    MATH  Google Scholar 

  32. E. Lavretsky, Combined/composite model reference adaptive control. IEEE Trans. Autom. Control 54(11) (2009)

    Google Scholar 

  33. V.I. Utkin, Sliding mode control design principles and applications to electric drives. IEEE Trans. Ind. Electron. 40(1), 23–36 (1993)

    Article  Google Scholar 

  34. A. Pisano, On the multi-input second-order sliding mode control of nonlinear uncertain systems. Int. J. Robust Nonlinear Control (2011). https://doi.org/10.1002/rnc.1788. Wiley Online Library

    Article  MATH  Google Scholar 

  35. N.N. Karnik, J.M. Mendel, Operations on type-2 fuzzy sets. Fuzzy Sets Syst. 122, 327–348 (2001)

    Article  MathSciNet  Google Scholar 

  36. J.M. Mendel, Type-2 fuzzy sets and systems: an overview. IEEE Comput. Intell. Mag. 2(2), 20–29 (2007)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kaushik Das Sharma .

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Singapore Pte Ltd.

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Das Sharma, K., Chatterjee, A., Rakshit, A. (2018). Emerging Areas in Intelligent Fuzzy Control and Future Research Scopes. In: Intelligent Control . Cognitive Intelligence and Robotics. Springer, Singapore. https://doi.org/10.1007/978-981-13-1298-4_11

Download citation

  • DOI: https://doi.org/10.1007/978-981-13-1298-4_11

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-1297-7

  • Online ISBN: 978-981-13-1298-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics