Abstract
To treat the difficulties in the design of MIMO fuzzy controller, which arise as high dimensional rule-bases and the acquirement of the membership functions and rules. Based on the importance of each input is different, a multi-dimensional controller is decomposed into a lot of one-dimensional controller that is presented in this paper. The total number of rules is drastically decreased. For an inverted pendulum, The simulation results show the controller has better dynamic performance and stability than the conventional MIMO fuzzy controller.
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References
Hu, B.G., Hao, Y.: Review of Fuzzy PID Control Techniques and Some Important Issues [J]. Acta Automation Sinica 27(4), 567–594 (2001)
Kandadai, R.M., Tien, J.M.: On a Fuzzy Neural Hierarchical Controller with a Self-generating Knowledge Base[A]. SMC 96 [C] 4, 2625–2630 (1996)
Kyung, K.H., Lee, B.H.: Fuzzy rule base derivation using neural network-based fuzzy logic controller by self-learning [A]. In: Proc. IECCN 93 [C], vol. 1, pp. 435–440 (1993)
Furuta, K., Yamakita, M., Kobayashi, S.: Swing up control of inverted pendulum[A]. In: Proc. IECON 91[C], pp. 2193–2198 (1991)
Mori, S., Nishihara, H., Furuta, K.: Control of unstable mechanical system control of pendulum[J]. Internat J. Control 23(5), 630–692 (1976)
Wei, Q., Dayawans, W.P., S, W.: Living, Nonlinear controller for an inverted pendulum having restricted travel [J]. Automation 31(6), 841–850 (1995)
Wang, H., Song, Z., Ping, L.: The Design of a Novel Hierarchical Multivariable Fuzzy Controller[J]. Control Theory and Application 18(5), 657–660 (2001)
Raiug Hierarchical fuzzy control[J].Int. J. Control 54(5), 1201–1216 (1991)
Zhang, N.: Two-loop Fuzzy Control of Inverted Pendulum. Control and Decision 11(1), 85–88 (1996)
Yi, J., Naoyoshi, Y., Kaoru, H.: Upswing and stabilization control of inverted pendulum system based on the SIRMs dynamically connected fuzzy inference model[J]. Fuzzy Sets and Systems 122, 139–152 (2001)
Takagi, T., Sugeno, M.: Fuzzy Identification of Systems and Its Applications to Modeling and Control. IEEE Trans. Syst., Man and Cybern. 15(1), 116–132 (1985)
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Gao, Ll., Shi, Xm. (2007). Research for Reducing Dimension on a T-S Fuzzy Controller. In: Huang, DS., Heutte, L., Loog, M. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Contemporary Intelligent Computing Techniques. ICIC 2007. Communications in Computer and Information Science, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74282-1_37
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DOI: https://doi.org/10.1007/978-3-540-74282-1_37
Publisher Name: Springer, Berlin, Heidelberg
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