IFT-BASED PI-FUZZY CONTROLLERS - Signal Processing and Implementation

Radu-Emil Precup, Mircea-Bogdan Rădac, Stefan Preitl, Marius-Lucian Tomescu, Emil M. Petriu, Adrian Sebastian Paul



New Takagi-Sugeno PI-fuzzy controllers (PI-FCs) are suggested in this paper. The PI-FC design is based on the optimization of PI controllers in terms of the Iterative Feedback Tuning (IFT) approach. Next the parameters of the PI controllers are mapped onto the parameters of the Takagi-Sugeno PI-FCs in terms of the modal equivalence principle. An attractive design method is derived to support the implementation of low-cost PI-FCs. The design is enabled by a stability analysis theorem based on Lyapunov’s theorem for time-varying systems. The theoretical approaches are validated by a case study corresponding to the position control of a servo system. Real-time experimental results are included.


  1. Blažic, S., Škrjanc, I., 2007. Design and stability analysis of fuzzy model-based predictive control - a case study. J. of Intelligent and Robotic Systems. 49, 279-292.
  2. Galichet, S., Foulloy, L., 1995. Fuzzy controllers: synthesis and equivalences. IEEE Transactions on Fuzzy Systems. 3, 140-148.
  3. Hildebrand, R., Lecchini, A., Solari, G., Gevers, M., 2005. Optimal prefiltering in Iterative Feedback Tuning. IEEE Trans. Autom. Control. 50, 1196-1200.
  4. Hjalmarsson, H., Gevers, M., Gunnarsson, S., Lequin, O., 1998. Iterative Feedback Tuning: theory and applications. IEEE Control Syst. Magazine. 18, 26-41.
  5. Jantzen, J., 2007. Foundations of Fuzzy Control. Chichester: Wiley.
  6. Johanyák, Z. C., Kovács, S., 2007. Sparse fuzzy system generation by rule base extension. In Proc. 11th International Conference on Intelligent Engineering Systems (INES 2007). Budapest, Hungary, 99-104.
  7. Kovacic, Z., Bogdan, S., 2006. Fuzzy Controller Design: Theory and Applications. Boca Raton, FL: CRC Press.
  8. Lam, H. K., Leung, F. H. F., 2008. Stability analysis of discrete-time fuzzy-model-based control systems with time delay: time-delay independent approach. Fuzzy Sets and Systems. 159, 990-1000.
  9. Lam, H. K., Ling, B. W. K., 2008. Sampled-data fuzzy controller for continuous nonlinear systems. IET Control Theory & Applications. 2, 32-39.
  10. Michels, K., Klawonn, F., Kruse, R., Nürnberger, A., 2006. Fuzzy Control: Fundamentals, Stability and Design of Fuzzy Controllers. Berlin, Heidelberg, New York: Springer Verlag.
  11. Pedrycz, W., 2009. From fuzzy sets to shadowed sets: interpretation and computing. International Journal of Intelligent Systems. 24, 48-61.
  12. Precup, R.-E., Preitl, S., Rudas, I. J., Tomescu, M. L., Tar, J. K., 2008. Design and experiments for a class of fuzzy controlled servo systems. IEEE/ASME Transactions on Mechatronics. 13, 22-35.
  13. Sala, A., Guerra, T. M., Babuška, R., 2005. Perspectives of fuzzy systems and control. Fuzzy Sets and Systems. 156, 432-444.
  14. Slotine, J.-J., Li, W., 1991. Applied Nonlinear Control. Englewood Cliffs, NJ: Prentice-Hall.
  15. Tian, E., Peng, C., 2006. Delay-dependent stability analysis and synthesis of uncertain T-S fuzzy systems with time-varying delay. Fuzzy Sets and Systems. 157, 544-559.
  16. Valente de Oliveira, J., Gomide, F. A. C., 2001. Formal methods for fuzzy modeling and control. Fuzzy Sets and Systems. 121, 1-2.
  17. Vašcák, J, 2007. Navigation of mobile robots using potential fields and computational intelligence means. Acta Polytechnica Hungarica. 4, 63-74.
  18. Wang, W.-J., Chen, Y.-J., Sun, C.-H., 2007. Relaxed stabilization criteria for discrete-time T-S fuzzy control systems based on a switching fuzzy model and piecewise Lyapunov function. IEEE Trans. Systems, Man, and Cyber., Part B: Cybernetics. 37, 551-559.

Paper Citation

in Harvard Style

Precup R., Rădac M., Preitl S., Tomescu M., Petriu E. and Paul A. (2009). IFT-BASED PI-FUZZY CONTROLLERS - Signal Processing and Implementation . In Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO, ISBN 978-989-8111-99-9, pages 207-212. DOI: 10.5220/0002204502070212

in Bibtex Style

author={Radu-Emil Precup and Mircea-Bogdan Rădac and Stefan Preitl and Marius-Lucian Tomescu and Emil M. Petriu and Adrian Sebastian Paul},
title={IFT-BASED PI-FUZZY CONTROLLERS - Signal Processing and Implementation},
booktitle={Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,},

in EndNote Style

JO - Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,
TI - IFT-BASED PI-FUZZY CONTROLLERS - Signal Processing and Implementation
SN - 978-989-8111-99-9
AU - Precup R.
AU - Rădac M.
AU - Preitl S.
AU - Tomescu M.
AU - Petriu E.
AU - Paul A.
PY - 2009
SP - 207
EP - 212
DO - 10.5220/0002204502070212