Abstract
Real industrial processes can never be modelled perfectly as simple as the linear first and second order systems. They have such marked characteristics as high-order, dead-time, non-linearity etc., and may be affected by noise, load disturbance and other ambinent conditions that cause parameter variation and sudden model structural change. The existing theories can no longer provide systematic and robust tuning laws for these complex situations. The operator intuitively regulates the executor to control the process by watching the error and the change rate of the error between the system's output and the set-point value. Usually fuzzy control rules are constructed by summarising the manual control experiences of an operator who has been controlling the industrial process skilfully and successfully.
In the presence of substantial parameter changes, however, or major external disturbances, PID-systems usually are faced with a trade-off between fast reaction with significant overshoot or smooth but slow reactions, or they even run into problems in stabilising the system at all. In this paper, fuzzy control adaptive system monitors its own performance and adjusts its control mechanism to improve performance for slowly time-varying processes. The whole controlling process is automatically adjusted on-line in response to the varying control situation with certain updating scheme. In this manner, an adaptive fuzzy controller can able to handle the complex situations and variety of non-linearities even when subject to random disturbances.
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References
A.E.B. Ruano, P.J. Fleming, D.I. Jones: Connectionist approach to PID autotuning. IEE Proceedings-D 139, 279–285 (1992).
A.M. Annaswamy, K.S. Narendra: Stable adaptive systems. Prentice-Hall, Englewood Cliffs, New Jersey (1989).
A.O. Esogbue, M. Theologidu, K. Guo: On the application of fuzzy set theory to the optimal flood control problem arising in water resources systems, Fuzzy Sets and Systems, vol. 48, 155–172 (1992).
B.A.M. Wakileh, K.F. Gill: Robot control using self-organising PID controller, IEE Proceedings-D, 138(3), 303–311 (1991).
B.P. Grahem, R. B. Newell: Fuzzy adaptive control of a first order process. Fuzzy Sets and Systems, vol. 3, 47–65 (1989).
B.W. Hogg, Q.H. Wu: On line evaluation of auto-tuning optimal PID controller on micromachine system. International Journal of Control 53, 751–769 (1991).
C. Altrock, B. Krause, H.J. Zimmermann: Advanced fuzzy logic control a model car in extreme situation, Fuzzy Sets and Systems, vol. 48, 41–52 (1992).
C. Altrock, H.O. Arend, B. Krause, C. Steffens, E. Behrens-Römmler: Adaptive fuzzy control applied to home heating system, Fuzzy Sets and Systems, vol. 61, no. 1, 29–35 (1994).
C. Zervos, P.R. Belanger, G.A. Dumont: On PID controller tuning using orthonormal series identification. Automatica 24, 165–175 (1988).
C.H. Chou, H.C. Lu: A heuristic self-tuning fuzzy controller. Fuzzy Sets and Systems 61, 249–264 (1994).
C.H. Chou, H.C. Lu: Real-time fuzzy controller design for hydraulic servo system. International Journal of Computers in Industry 22, 129–142 (1993).
D. Driankow, H. Hellendoorn, M. Reinfrank: An Introduction to Fuzzy Control. Springer Verlag (1993).
E. H. Maudani, J. J. King: The application of fuzzy control system to industrial processes. Automatica, tom 13, 235–242 (1977).
E. Mishkin, L. Braun: Adaptive control system. McGraw-Hill electrical and electronic engineering series.
E.H. Maudani: An application of fuzzy algorithms for control of simple dynamic plant. Proc. Ins. Elec. Eng., tom 121, 1585–1588 (1974).
E5AF/E5EF Fuzzy Temperature Controller, Operation Manual firmy OMRON (1992).
F. Steimann, K.P. Adlassig: Clinical monitoring with fuzzy automata, Fuzzy Sets and Systems, vol. 61, no. 1, 37–42 (1994).
F.C. Teng, H.R. Sirisena: Self-tuning PID controllers for dead time processes. IEEE Transaction on Industrial Electronics IE-35, 119–125 (1988).
G.C. Goodwin, K.S. Sin: Adaptive filtering prediction and control. Prentice-Hall, Englewood Cliffs, New Jersey (1984).
G.E. Rotstein, D.R. Levin: Simple PI and PID tuning for open-loop unstable systems, Industrial Engineering Chemistry Research, vol. 30, no. 8, 1864–1869 (1991).
H. Schüdel: Utilization of fuzzy techniques in intelligent sensors, Fuzzy Sets and Systems, vol. 63, no. 3, 271–292 (1994).
H. Ying: Analytical structure of a two-input two-output fuzzy controller and its relation to PI and multilevel relay controllers, Fuzzy Sets and Systems, vol. 63, no. 1, 21–33 (1994).
J. J. Buckley: Universal fuzzy controllers. Automatica, vol. 28, 1245–1248 (1992).
J. Litt: An expert system to perform on-line controller tuning. IEEE Control Systems Magazine 11, 18–23 (1991).
J.G. Ziegler, N.B. Nichols: Optimum setting for automatic controllers. Transaction AMSE 65, 433–444 (1943).
J.H. Kim, K.K. Choi: Self-tuning discrete PID controller. IEEE Transaction on Industrial Electronics IE-34, 298–300 (1987).
J.H. Kim, K.K. Choi: Self-tuning discrete PID controller, IEEE Transactions on Industrial Electronics, IE-34, 298–300 (1987).
J.J. Saade: Towards intelligent radar systems, Fuzzy Sets and Systems, vol. 63, no. 2, 141–157 (1994).
K. Hirota: Industrial Applications of Fuzzy Technology, Springer-Verlag, (1993).
K. J. Ăström: Towards intelligent PID control. Automatica 28, 1–9 (1992).
L.J. Huang, M. Tomizuka: A Self-Raced Fuzzy Tracking Controller for Two-Dimensional Motion Control, IEEE Trans. on Systems, Man and Cybernetics, vol. 20, no. 5, 1115–1124 (1990).
L.M. Jia, X.D. Zhang: Distributed intelligent railway traffic control based on fuzzy decision making, Fuzzy Sets and Systems, vol. 62, no. 3, 255–265 (1994).
M. Maeda, S. Murakami: A self-tuning fuzzy controller. Fuzzy Sets and Systems 1992, vol. 51, 29–40 (1992).
P. Dorato: A historical review of robust control. IEEE Control Systems Magazine 7, 44–47 (1987).
P. Guillemin: Universal motor control with fuzzy logic, Fuzzy Sets and Systems, vol. 63, 339–348 (1994).
P.J. Gawthrop, P.E. Nomikos: Automatic tuning of commercial PID controllers for single-loop and multiloop applications. IEEE Control Systems Magazine 10, 34–42 (1990).
R. Palm: Fuzzy Controller for a Sensor Guided Robot Manipulator, Fuzzy Sets and Systems, vol. 20, no. 1, 133–149 (1989).
R.J. Mulholland, K.L. Tang: Comparing fuzzy logic with classical controller designs. IEEE Transaction on Systems, Man, and Cybernetics 17, 1085–1087 (1987).
R.M. Tong: A control engineering review of fuzzy systems, Automatica, t. 13, 559–569 (1977).
S. Daley, K.F. Gill: A study of fuzzy logic controller robustness using the parameter plant. International Journal of Computers in Industry 7, 511–522 (1986).
S. Daley, K.F. Gill: Comparison of fuzzy logic controller with a P+D control law. Transaction of the ASME Journal of Dynamic Systems, Measurement and Control 111, 128–137 (1989).
S. Sastry, M. Bodson: Adaptive control: Stability convergence, and robustness. Prentice-Hall, Englewood Cliffs, New Jersey (1989).
S. Shao: Fuzzy self-organizing controller and its application for dynamic processes. Fuzzy Sets and Systems 26, 151–164 (1988).
S.Z. He, S.T.F.L. Xu, P.Z. Wang: Fuzzy self-tuning of PID controllers. Fuzzy Sets and Systems, vol. 56, 37–46 (1993).
T. Takagi, M. Sugeno: Derivation of fuzzy control rules from human operator's control actions. Proc. IFAC Symp. on Fuzzy Information, Knowledge Representation and Decision Analysis, Marseilles, France, 55–60 (1983).
T. Takagi, M. Sugeno: Fuzzy identification of systems and its application to modelling and control. IEEE Trans. Sys. Man. Cyb. 15, 116–132 (1985).
W. Pedrycz: Fuzzy control and fuzzy systems. Research Studies Press LTD., Taunton, Somerset, England (1989).
W.H. Bare, R.J. Mulholland, S.S. Sofer: Design of a self-tuning rule based controller for a gasoline refinery catalytic reformer, IEEE Transactions on Autom. Control, vol. 32, no. 2, 156–164, (1990).
W.J. Kicert, H.R. Nauta Lemke: Application of a fuzzy controller in a warm water plant, Automatica, tom 12, 301–308, (1976).
Y. Yamashita, S. Matsumoto, M. Suzuki: Start-up of Catalityc Reactor by Fuzzy Controller, J. Chemical Engineering of Japan, vol. 21, 277–281 (1988)
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© 1997 Springer-Verlag Berlin Heidelberg
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Pandey, S.K. (1997). A self tuning fuzzy controller. In: Reusch, B. (eds) Computational Intelligence Theory and Applications. Fuzzy Days 1997. Lecture Notes in Computer Science, vol 1226. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-62868-1_128
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DOI: https://doi.org/10.1007/3-540-62868-1_128
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