Abstract
Three-dimensional fuzzy logic controller (3-D FLC) is a novel FLC developed recently for spatially-distributed systems. In this study, the BIBO stability issue of the 3-D fuzzy control system is discussed. A sufficient condition is derived and provided as a useful criterion for the controller design of the 3-D FLC. Finally, a catalytic packed-bed reactor is presented as an example of spatially-distributed process to demonstrate the effectiveness of the controller.
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References
Mamdani, E.H., Assilian, S.: An experiment in linguistic synthesis with a fuzzy logic controller. Int. J. Man–Mach. Stud. 7(1), 1–13 (1974)
Ying, H.: Fuzzy Control and Modeling: Analytical Foundations and Applications. IEEE Press, New York (2000)
Li, H.X., Zhang, X.X., Li, S.Y.: A Three-dimensional Fuzzy Control Methodology for a Class of Distributed Parameter System. IEEE Trans. Fuzzy Syst. 15(3), 470–481 (2007)
Tanaka, K., Sugeno, M.: Stability analysis and design of fuzzy control systems. Fuzzy Sets and Systems 45, 135–156 (1992)
Chen, G.R., Ying, H.: BIBO stability of nonlinear fuzzy PI control systems. Journal of Intelligent & Fuzzy Systems 5, 245–256 (1997)
Zhang, X.X., Li, H.X., Li, S.Y.: Analytical study and stability design of a 3-d fuzzy logic controller for spatially distributed dynamic systems. IEEE Trans. Fuzzy Syst. 16(6), 1613–1624 (2008)
Khalil, H.K.: Nonlinear Systems, 2nd edn. Prentice-Hall, New Jersey (1996)
Desoer, C.A., Vidyasagar, M.: Feedback Systems: Input-Output Properties. Academic Press, New York (1975)
Christofides, P.D.: Robust control of parabolic PDE systems. Chemical Engineering Science 53(16), 2949–2965 (1998)
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Zhang, X., Sun, M., Cao, G. (2010). BIBO Stability of Spatial-temporal Fuzzy Control System. In: Li, K., Fei, M., Jia, L., Irwin, G.W. (eds) Life System Modeling and Intelligent Computing. ICSEE LSMS 2010 2010. Lecture Notes in Computer Science, vol 6328. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15621-2_35
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DOI: https://doi.org/10.1007/978-3-642-15621-2_35
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-15620-5
Online ISBN: 978-3-642-15621-2
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