×

An introductory survey of fuzzy control. (English) Zbl 0586.93053

This paper reviews main studies on fuzzy control. The key points in applying fuzzy control are picked up and recent results are shown, interesting and important problems to be solved are pointed out.
The author gives the definitions of the main concepts in fuzzy control as follows: fuzzy variables, fuzzy reasoning, compositional rules of inference, fuzzy logic. The ways to design a fuzzy controller are discussed. The author expresses the idea that, in fact, fuzzy control was the first practical application of expert systems.
Many examples of fuzzy control applications are discussed including industrial applications.
The problems posed at the end of this very interesting review allow to realize some future ways of studies in this area.
Reviewer: R.Vachnadze

MSC:

93C99 Model systems in control theory
94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)
68U20 Simulation (MSC2010)
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Zadeh, L. A., Fuzzy algorithm, Inform and Control, 12, 94-102 (1968) · Zbl 0182.33301
[2] Zadeh, L. A., Outline of a new approach to the analysis of complex systems and decision processes, IEEE Trans. Systems Man Cybernet., SMC-3, 28-44 (1973) · Zbl 0273.93002
[3] Mamdani, E. H., Applications of fuzzy algorithms for control of simple dynamic plant, (Proc. IEE, 121 (1974)), 1585-1588, (12)
[4] Mamdani, E. H.; Assilian, S., An experiment in linguistic synthesis with a fuzzy logic controller, Internat. J. Man-Machine Stud., 7, 1, 1-13 (1975) · Zbl 0301.68076
[5] Negoita, C. V.; Ralescu, D. A., Application of Fuzzy Sets to Systems Analysis (1975), Birkhäuser: Birkhäuser Basel · Zbl 0326.94002
[6] Kickert, W. J.M.; Van Nauta Lemke, H. R., The application of fuzzy set theory to control a warm water process, Automatica, 12, 4, 301-308 (1976)
[7] Mamdani, E. H., Advances in the linguistic synthesis of fuzzy controllers, Internat. J. Man-Machine Stud., 8, 6, 669-678 (1976) · Zbl 0344.68028
[8] Rutherford, D. A.; Carter, G. A., A heuristic adaptive controller for a sinter plant, (Proceedings of the 2nd IFAC Symposium on Automation in Mining, Mineral and Metal Processing. Proceedings of the 2nd IFAC Symposium on Automation in Mining, Mineral and Metal Processing, Johannesburg, R.S.A. (Sept. 1976))
[9] Tong, R. M., An assessment of a fuzzy control algorithm for a nonlinear multivariable system, (Mamdani, E. H.; Gaines, B. R., Discrete Systems and Fuzzy Reasoning. Discrete Systems and Fuzzy Reasoning, Tech. Report EES-MMS-DSFR-76 (Jan. 1976), Queen Mary College: Queen Mary College London)
[10] Tong, R. M., Some problems with the design and implementation of fuzzy controllers, (Tech. Report CUED/F-CAMS/TR127 (1976), Cambridge Univ. Engrg. Dept)
[11] Tong, R. M., Analysis of fuzzy control algorithms using the relation matrix, Internat. J. Man-Machine Stud., 8, 6, 679-686 (1976) · Zbl 0355.93022
[12] Uragami, M.; Mizumoto, M.; Tanaka, K., Fuzzy robot controls, J. Cybernet., 6, 1-2, 39-64 (1976) · Zbl 0362.68130
[13] King, P. J.; Mamdani, E. H., The application of fuzzy control systems to industrial processes, Automatica, 13, 3, 235-242 (1977)
[14] Østergaard, J. J., Fuzzy logic control of a heat exchanger process, (Gupta, M. M.; Saridis, G. N.; Gaines, B. R., Fuzzy Automata and Decision Processes (1977), North-Holland)
[15] Pappis, C. P.; Mamdani, E. H., A fuzzy logic controller for a traffic junction, IEEE Trans. Systems Man Cybernet., SMC-7, 10, 707-717 (1977) · Zbl 0372.90055
[16] Sinha, N. K.; Wright, J. D., Application of fuzzy control to a heat exchanger process, (Proceedings of the 16th IEEE Conference on Decision and Control. Proceedings of the 16th IEEE Conference on Decision and Control, New Orleans (Dec. 1977))
[17] Sugeno, M.; Terano, T., Analytical representation of fuzzy systems, (Gupta, M. M.; Saridis, G. N.; Gaines, B. R., Fuzzy Automata and Decision Processes (1977), North-Holland) · Zbl 0395.94055
[18] Tong, R. M., A control engineering review of fuzzy systems, Automatica, 13, 6, 559-569 (1977)
[19] Willaeys, D.; Mangin, P.; Malvache, N., Use of fuzzy sets for systems modeling and control, application to the speed control of a strongly perturbed motor, (Proceedings of the 5th IFAC/IFIP International Conference on Digital Computer Applications to Process Control. Proceedings of the 5th IFAC/IFIP International Conference on Digital Computer Applications to Process Control, The Hague (1977)) · Zbl 0468.94021
[20] Willaeys, D.; Malvache, N.; Hammad, P., Utilization of fuzzy sets for system modelling and control, (Proceedings of the 16th IEEE Conference on Decision and Control. Proceedings of the 16th IEEE Conference on Decision and Control, New Orleans (Dec. 1977)) · Zbl 0468.94021
[21] Kickert, W. J.M.; Mamdani, E. H., Analysis of fuzzy logic controller, Fuzzy Sets and Systems, 1, 1, 29-44 (1978) · Zbl 0364.93022
[22] Braae, M.; Rutherford, D. A., Fuzzy relations in a control setting, Kybernetes, 7, 3, 185-188 (1978) · Zbl 0387.93004
[23] Govind, R., Synthesis of fuzzy controllers for process plants, (Proceedings of the IEEE International Conference on Cybernetics and Society. Proceedings of the IEEE International Conference on Cybernetics and Society, Tokyo (Nov. 1978))
[24] Tong, R. M., Analysis and control of fuzzy systems using finite discrete relations, Internat. J. Control, 27, 3, 431-440 (1978) · Zbl 0383.93004
[25] Tong, R. M., Synthesis of fuzzy models for industrial processes, Internat. J. Gen. Systems, 4, 143-162 (1978) · Zbl 0372.93025
[26] Tsukamoto, Y.; Takagi, T.; Sugeno, M., Fuzzification of L-Aleph-1 and its application to control, (Proceedings of the IEEE International Conference on Cybernetics and Society. Proceedings of the IEEE International Conference on Cybernetics and Society, Tokyo (Nov. 1978))
[27] Willaeys, D.; Malvache, N., Use of fuzzy model for process control, (Proceedings of the IEEE International Conference on Cybernetics and Society. Proceedings of the IEEE International Conference on Cybernetics and Society, Tokyo (Nov. 1978)) · Zbl 0468.94021
[28] Braae, M.; Rutherford, D. A., Theoretical and linguistic aspects of the fuzzy logic controller, Automatica, 15, 5, 553-577 (1979) · Zbl 0437.93052
[29] Braae, M.; Rutherford, D. A., Selection of parameters for a fuzzy logic controller, Fuzzy Sets and Systems, 2, 3, 185-199 (1979) · Zbl 0418.94034
[30] Kickert, W. J.M., Towards an analysis of linguistic modelling, Fuzzy Sets and Systems, 2, 293-307 (1979) · Zbl 0413.68089
[31] Procyk, T. J.; Mamdani, E. H., A linguistic self-organizing process controller, Automatica, 15, 1, 15-30 (1979) · Zbl 0393.68082
[32] Tong, R. M., The construction and evaluation of fuzzy models, (Gupta, M. M.; Ragade, R. K.; Yager, R. R., Advances in Fuzzy Set Theory and Applications (1979), North-Holland) · Zbl 0453.93003
[33] Tsukamoto, Y., An approach to fuzzy reasoning method, (Gupta, M. M.; Ragade, R. K.; Yager, R. R., Advances in Fuzzy Set Theory and Applications (1979), North-Holland) · Zbl 0193.50303
[34] Baldwin, J. F.; Guild, N. C.F., Modelling controllers using fuzzy relations, Kybernetes, 9, 3, 223-229 (1980) · Zbl 0452.93005
[35] Flanagan, M. J., On the application of approximate reasoning to control of the activated sludge process, (Proceedings of the Joint Automatic Control Conference. Proceedings of the Joint Automatic Control Conference, San Francisco (Aug. 1980))
[36] Gupta, M. M.; Tsukamoto, Y., Fuzzy logic controllers—a perspective, (Proceedings of the Joint Automatic Control Conference. Proceedings of the Joint Automatic Control Conference, San Francisco (Aug. 1980))
[37] Kania, A. A.; Kiszka, J. B.; Gorzalczany, M. B.; Maj, J. R.; Stachowicz, M. S., On stability of formal fuzziness systems, Inform. Sci., 22, 51-68 (1980) · Zbl 0464.93005
[38] Kiszka, J. B.; Stachowicz, M. S.; Kania, A. A.; Gorzalczany, M. B., Analysis and synthesis of fuzzy control systems, (Proceedings of the 3rd IFAC/IFORS Conference Dynamic Modelling and Control of National Economies. Proceedings of the 3rd IFAC/IFORS Conference Dynamic Modelling and Control of National Economies, Warsaw (June 1980))
[39] Larsen, P. M., Industrial applications to fuzzy logic control, Internat. J. Man-Machine Stud., 12, 1, 3-10 (1980)
[40] Mamdani, E. H.; Sembi, B. S., Process control using fuzzy logic, (Wang, P. P.; Chang, S. K., Fuzzy Sets: Theory and Applications to Policy Analysis and Information Systems (1980), Plenum: Plenum New York)
[41] Tong, R. M., The evaluation of fuzzy models derived from experimental data, Fuzzy Sets and Systems, 4, 1-12 (1980) · Zbl 0453.93003
[42] Tong, R. M., Some properties of fuzzy feedback systems, IEEE Trans. Systems Man Cybernet., SMC-10, 6, 327-330 (1980) · Zbl 0452.93004
[43] Tong, R. M.; Beck, M. B.; Latten, A., Fuzzy control of the activated sludge wastewater treatment process, Automatica, 16, 6, 695-702 (1980) · Zbl 0468.76131
[44] Umbers, I. G.; King, P. J., An Analysis of human-decision making in cement kiln control and the implication for automation, Internat. J. Man-Machine Stud., 12, 1, 11-23 (1980)
[45] Willaeys, D., Optimal control of fuzzy systems, (Proceedings of the International Congress on Applied Systems Research and Cybernetics. Proceedings of the International Congress on Applied Systems Research and Cybernetics, Acapulco (Dec. 1980)) · Zbl 0575.94039
[46] Czogala, E.; Pedrycz, W., On identification in fuzzy systems and its applications in control problems, Fuzzy Sets and Systems, 6, 1, 73-83 (1981) · Zbl 0473.93070
[47] Pedrycz, W., An approach to the analysis of fuzzy systems, Internat. J. Control, 34, 3, 403-421 (1981) · Zbl 0476.93011
[48] Yonekura, M., The application of fuzzy sets theory to the temperature of box annealing furnaces using simulation techniques, (Proceedings of the 8th IFAC World Congress. Proceedings of the 8th IFAC World Congress, Tokyo (1981))
[49] Bartolini, G., Development of performance adaptive fuzzy controllers with application to continuous casting plants, (Trapple, R., Cybernetics and Systems Research (1982), North-Holland) · Zbl 0526.93030
[50] Cumani, A., On a possibilistic approach to the analysis of fuzzy feedback systems, IEEE Trans. Systems Man Cybernet., SMC-12, 3, 417-421 (1982) · Zbl 0532.93048
[51] Czogala, E.; Pedrycz, W., Control problems in fuzzy systems, Fuzzy Sets and Systems, 7, 3, 257-274 (1982) · Zbl 0506.93039
[52] Czogala, E.; Pedrycz, W., Fuzzy rule generation for fuzzy control, Cybernet. Systems, 13, 3, 275-294 (1982) · Zbl 0524.93004
[53] Gorzalczany, M. B.; Kiszka, J. B.; Stachowicz, M. S., Some problems of studying adequacy of fuzzy models, (Yager, R. R., Fuzzy Set and Possibility Theory (1982), Pergammon: Pergammon New York)
[54] Holmblad, L. P.; Østergaard, J. J., Control of a cement kiln by fuzzy logic, (Gupta, M. M.; Sanchez, E., Fuzzy Information and Decision Processes (1982), North-Holland: North-Holland Amsterdam)
[55] King, R. E., Fuzzy logic control of a cement kiln precalciner flash furnace, (Proceedings of the IEEE Conferences on Applications of Adaptive and Multivariable Control. Proceedings of the IEEE Conferences on Applications of Adaptive and Multivariable Control, Hull, U.K. (1982))
[56] Kloeden, P. E., Fuzzy dynamical systems, Fuzzy Sets and Systems, 7, 275-296 (1982) · Zbl 0509.54040
[57] Kokawa, M., Heuristic approach to pump operations using multi-valued logic, (Gupta, M. M.; Sanchez, E., Fuzzy Information and Decision Processes (1982), North-Holland: North-Holland Amsterdam)
[58] deGlas, M., A mathematical theory of fuzzy systems, (Gupta, M. M.; Sanchez, E., Fuzzy Information and Decision Processes (1982), North-Holland: North-Holland Amsterdam)
[59] deGlas, M., Theory of fuzzy systems, Fuzzy Sets and Systems, 10, 1, 65-77 (1983)
[60] Yamazaki, T.; Mamdani, E. H., On the performance of a rule-based self-organising controller, (Proceedings of the IEEE Conference on Applications of Adaptive and Multivariable Control. Proceedings of the IEEE Conference on Applications of Adaptive and Multivariable Control, U.K. (1982))
[61] Sugeno, M.; Takagi, T., Multi-dimensional fuzzy reasoning, Fuzzy Sets and Systems, 9, 3, 313-326 (1983) · Zbl 0513.94035
[62] Takagi, T.; Sugeno, M., Derivation of fuzzy control rules from human operator’s control actions, (Proceedings of the IFAC Symposium on Fuzzy Information, Knowledge Representation and Decision Analysis. Proceedings of the IFAC Symposium on Fuzzy Information, Knowledge Representation and Decision Analysis, Marseille (July 1983))
[63] Murakami, S., Application of fuzzy controller to automobile speed control system, (Proceedings of the IFAC Symposium on Fuzzy Information, Knowledge Representation and Decision Analysis. Proceedings of the IFAC Symposium on Fuzzy Information, Knowledge Representation and Decision Analysis, Marseille (July 1983))
[64] Yasunobu, S.; Miyamoto, S.; Ihara, H., Fuzzy control for automatic train operation system, (Proceedings of the 4th IFAC/IFIP/IFORS International Congress on Control in Transportation Systems. Proceedings of the 4th IFAC/IFIP/IFORS International Congress on Control in Transportation Systems, Baden-Baden (Apr. 1983))
[65] Sugeno, M.; Takagi, T., A new approach to design of fuzzy controller, (Wang, P. P.; Chang, S. K., Advances in Fuzzy Sets Possibility Theory and Applications (1983), Plenum: Plenum New York)
[66] Matsushima, K.; Sugiyama, H., Human Operator’s fuzzy model in man-machine system with a nonlinear control object, (presented at First International Conference on Fuzzy Information Processing. presented at First International Conference on Fuzzy Information Processing, Hawaii (1984))
[67] Miyamoto, M.; Yasunobu, S., Predictive fuzzy control and its application to automatic train operation systems, (presented at First International Conference on Fuzzy Information Processing. presented at First International Conference on Fuzzy Information Processing, Hawaii (1984))
[68] Yamazaki, T.; Sugeno, M., A microprocessor based buzzy controller for industrial purposes, (presented at First International Conference on Fuzzy Information Processing. presented at First International Conference on Fuzzy Information Processing, Hawaii (1984))
[69] Murayama, Y.; Terano, T., Optimizing control of diesel engine, (presented at First International Conference on Fuzzy Information Processing. presented at First International Conference on Fuzzy Information Processing, Hawaii (1984))
[70] Sugeno, M.; Murakami, K., Fuzzy parking control of model car, (presented at 23rd IEEE Conference on Decision and Control. presented at 23rd IEEE Conference on Decision and Control, Las Vegas (1984))
[71] Larkin, L. I., A fuzzy logic controller for aircraft flight control, (presented at 23rd IEEE Conference on Decision and Control. presented at 23rd IEEE Conference on Decision and Control, Las Vegas (1984))
[72] Mamdani, E. H.; Efstathiou, H. J.; sugiyama, K., Developments in fuzzy logic control, (presented at 23rd IEEE Conference on Decision and Control. presented at 23rd IEEE Conference on Decision and Control, Las Vegas (1984))
[73] Hogle, R. A., A fuzzy algorithm for path selection in autonomous vehicle navigation, (presented at 23rd IEEE Conference on Decision and Control. presented at 23rd IEEE Conference on Decision and Control, Las Vegas (1984))
[74] Togai, M., Application of fuzzy inverse relations to synthesis of a fuzzy controller for dynamic systems, (presented at 23rd IEEE Conference on Decision and Control. presented at 23rd IEEE Conference on Decision and Control, Las Vegas (1984))
[75] E. M. Scharf, The application of a fuzzy controller to the control of a multi-degree-of-freedom robot arm, in Industrial Applications of Fuzzy Control; E. M. Scharf, The application of a fuzzy controller to the control of a multi-degree-of-freedom robot arm, in Industrial Applications of Fuzzy Control
[76] O. Yagishita, O. Itoh and M. Sugeno, Application of fuzzy reasoning to the water purification process, ibid; O. Yagishita, O. Itoh and M. Sugeno, Application of fuzzy reasoning to the water purification process, ibid
[77] Y. Sakai, A fuzzy controller in turning process automation, ibid; Y. Sakai, A fuzzy controller in turning process automation, ibid
[78] Z. Hong, The applications of fuzzy and artificial intelligence method in the building up blast furnace smelting process model, ibid; Z. Hong, The applications of fuzzy and artificial intelligence method in the building up blast furnace smelting process model, ibid
[79] M. Sugeno and M. Nishida, Fuzzy control of model car, Fuzzy Sets and Systems; M. Sugeno and M. Nishida, Fuzzy control of model car, Fuzzy Sets and Systems
[80] Takagi, T.; Sugeno, M., Fuzzy identification of systems and its applications to modelling and control, IEEE Trans. Systems Man Cybernet., SMC-15, 1, 116-132 (1985) · Zbl 0576.93021
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.