Abstract
Fuzzy sets, the foundation of fuzzy control, were introduced thirty years ago, (Zadeh, 1965), as a way of expressing non-probabilistic uncertainties. Since then, fuzzy set theory has developed and found applications in database management, operations analysis, decision support systems, signal processing, data classifications, computer vision, etc. The application area that has attracted most attention is, however, control. In 1974, the first successful application of fuzzy logic to control was reported (Mamdani, 1974). Control of cement kilns was an early industrial application (Holmblad and Østergaard, 1982). Since the first consumer product using fuzzy logic was marketed in 1987, the use of fuzzy control has increased substantially. A number of CAD environments for fuzzy control design have emerged together with VLSI hardware for fast execution. Fuzzy control is being applied industrially in an increasing number of cases, e.g., (Froese, 1993; Hellendoorn, 1993; Bonissone, 1994; Hirota, 1993; Terano et al., 1994).
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References
Babugka, R. (1998). Fuzzy Modeling for Control. Kluwer Academic Publishers, Boston.
Bonissone, P. P. (1994). Fuzzy logic controllers: an industrial reality. In Zurada, J. M., II, R. J. M., and Robinson, C. J., editors, Computational Intelligence: imitating life, pages 316–327 IEEE Press, Piscataway, NJ.
Boyd, S., El Ghaoui, L., Feron, E., and Balakrishnan, V. (1994). Linear Matrix In-equalities in System and Control Theory. Siam Studies in Applied Mathematics.
Braae, M. and Rutherford, D. (1979). Theoretical and linguistic aspects of the fuzzy logic controller. Automatica, 15:553–577.
Cao, S., Rees, N., and Feng, G. (1997). Analysis and design for a class of complex control systems part II: Fuzzy controller design. Automatica, 33(6):1017–1028.
Clarke, D., Mohtadi, C., and Tuffs, P. (1987). Generalised predictive control. part 1: The basic algorithm part 2: Extensions and interpretations. Automatica, 23(2):137–160.
Corless, M. (1994). Robust stability analysis and controller design with quadratic Lyapunov functions. In Zinober, A. S., editor, Variable Structure and Lyapunov Control, Lecture notes in Control and Information Sciences, chapter 9, pages 181–203. Springer Verlag.
Cox, E. (1993). Adaptive fuzzy systems. IEEE Spectrum.
de Oliveira, J. V. and Lemos, J. (1995). Long-range predictive adaptive fuzzy relational control. Fuzzy Sets and Systems, 70:337–357.
Driankov, D., Hellendoorn, H., and Reinfrank, M. (1993). An Introduction to Fuzzy Control. Springer, Berlin.
Fischer, M., Schmidt, M., and Kaysel-Biasizzo, K. (1997). Nonlinear predictive control based on the extraction of step response models from Takagi-Sugeno fuzzy systems. In Proc. of the American Control Conference, pages 1210–1216.
Froese, T. (1993). Applying of fuzzy control and neuronal networks to modern process control systems. In Proceedings of the EUFIT ‘83, volume II, pages 559–568, Aachen.
Gahinet, P., Nemirovski, A., Laub, A. J., and Chilali, M. (1995). LMI Control Toolbox for use with Matlab. The Mathworks Inc.
Gill, P., Murray, W, and Wright, M. (1981). Practical Optimization. Academic Press, New York and London.
Harris, C., Moore, C., and Brown, M. (1993). Intelligent Control, Aspects of Fuzzy Logic and Neural Nets. World Scientific, Singapore.
Hellendoorn, H. (1993). Design and development of fuzzy systems at siemens r&d. In Proc. of the IEEE International Conference on Fuzzy Systems, pages 1365–1370.
Hirota, K., editor (1993). Industrial Applications of Fuzzy Technology. Springer, Tokyo.
Holmblad, L. and Østergaard, J. (1982). Control of a cement kiln by fuzzy logic. In Gupta, M. and Sanchez, E., editors, Fuzzy Information and Decision Processes. North-Holland, Amsterdam.
Hung, J. Y., Gao, W., and Hung, J. C. (1993). Variable structure control: A survey. IEEE Transactions on Industrial Electronics, pages 2–21.
IEEE (1993a). Reader’s forum. IEEE Control Systems Magazine
IEEE (1993b). Reader’s forum. IEEE Control Systems Magazine.
Isidori, A. (1989). Nonlinear Control Systems: an Introduction. Springer-Verlag.
Johansson, M., Malmborg, J., Rantzer, A., Bernhardsson, B., and Årzén, K.-E. (1997). Modeling and control of fuzzy, heterogeneous and hybrid systems. In Proc. Of SICICA 97, Annecy, France.
Johansson, M. and Rantzer, A. (1996). Computation of piecewise quadratic Lyapunov functions for hybrid systems. Technical report, Department of Automatic Control. Also available at http://www.control.lth.Se/~rantzer.
Johansson, M. and Rantzer, A. (1997). Computation of piecewise quadratic Lyapunov functions for hybrid systems. In European Control Conference, ECC97.
Johansson, M., Rantzer, A., and Årzén, K.-E. (1998). Piecewise quadratic stability for affine sugeno systems. In Proc. of FUZZ-IEEE’98, Anchorage.
Kaymak, U., Sousa, J., and Verbruggen, H. (1997). A comparative study of fuzzy and conventional criteria in model-based predictive control. In Proc. of IEEE International Conference on Fuzzy Systems, volume 2, pages 907–914.
Lu, Y.-Z., He, M., and Xu, C.-W. (1997). Fuzzy modeling and expert optimization control for industrial processes. IEEE Trans. Control Systems Tech., 5:2–12.
Mamdani, E. (1974). Application of fuzzy algorithm for control of simple dynamic plant. Proc. IEE,121:1585–1588.
Nakamori, Y. (1994). Fuzzy modeling for adaptive process control. In Kanel, A. and Langholz, G., editors, Fuzzy Control Systems. CRC Press.
Nijmeijer, H. and van der Schaft, A. (1990). Nonlinear Dynamical Control Systems. Springer-Verlag, New York, USA.
Palm, R. (1992). Sliding mode fuzzy control. In Proc. of the IEEE International Conference on Fuzzy Systems, pages 519–526.
Palm, R. and Driankov, D. (1997). Stability of fuzzy gain-schedulers: Sliding-mode based analysis. In Proc. of the IEEE International Conference on Fuzzy Systems, pages 177–183.
Pedrycz, W (1993). Fuzzy Control and Fuzzy Systems (second, extended, edition). John Willey and Sons, New York.
Pottmann, M. and Seborg, D. (1997). A nonlinear predictive control strategy based on radial basis function models. Comp. Chem. Engng., 21:965–980.
Rantzer, A. and Johansson, M. (1997). Piecewise linear quadratic control. In American Control Conference, ACC’97.
Raymond, C., Boverie, S., and Titli, A. (1995). Fuzzy multivariable control design from the fuzzy system model. In Proceedings Sixth IFSA World Congress, Sao Paulo, Brazil.
Roubos, J., Babuska, R., Bruijn, P., and Verbruggen, H. (1998). Predictive control by local linearization of a Takagi-Sugeno fuzzy model. In Proc. of the IEEE International Conference on Fuzzy Systems.
Sjöberg, J., Zhang, Q., Ljung, L., Benveniste, A., Deylon, B., Glorennec, P., Hjalmarsson, H., and Juditsky, A. (1995). Nonlinear black-box modeling in system identification: A unified overview. Automatica, 31.
Slotine, J.-J. and Li, W. (1991). Applied Nonlinear Control. Prentice Hall International. Soeterboek, A. (1990). Predictive Control - A Unified Approach. PhD dissertation, Delft University of Technology, Delft, The Netherlands.
Sousa, J., Babuska, R., and Verbruggen, H. (1997). Fuzzy predictive control applied to an air-conditioning system. To appear in Control Engineering Practice.
Takagi, T. and Sugeno, M. (1985). Fuzzy identification of systems and its applications to modeling and control. IEEE Transactions on Systems, Man, and Cybernetics, 15:116–132.
Tanaka, K., Ikeda, T., and Wang, H. 0. (1996). Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: Quadratic stabilizability, H ∞ control theory and linear matrix inequalities. IEEE Transactions on Fuzzy Systems, 4(1):113.
Terano, T., Asai, K., and Sugeno, M. (1994). Applied Fuzzy Systems. Academic Press, Inc., Boston.
Utkin, V. I. (1977). Variable structure systems with sliding modes: a survey. IEEE Transactions on Automatic Control, 22:212–222.
Walsh, G. (1975). Methods of optimization. John Wiley & Sons, New York, USA.
Zadeh, L. (1965). Fuzzy sets. Information and Control, 8:338–353.
Zhao, J. (1995). System Modeling, Identification and Control using Fuzzy Logic. PhD thesis, UCL, Université Catholique de Louvain.
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Årzén, KE., Johansson, M., Babuška, R. (1999). Fuzzy Control Versus Conventional Control. In: Verbruggen, H.B., Zimmermann, HJ., Babuška, R. (eds) Fuzzy Algorithms for Control. International Series in Intelligent Technologies, vol 14. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4405-6_3
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DOI: https://doi.org/10.1007/978-94-011-4405-6_3
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