Commenced in January 2007
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Edition: International
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Applying Half-Circle Fuzzy Numbers to Control System: A Preliminary Study on Development of Intelligent System on Marine Environment and Engineering

Authors: Chen-Yuan Chen, Wan-I Lee, Yi-Chaio Sui, Cheng-Wu Chen

Abstract:

This study focuses on the development of triangular fuzzy numbers, the revising of triangular fuzzy numbers, and the constructing of a HCFN (half-circle fuzzy number) model which can be utilized to perform more plural operations. They are further transformed for trigonometric functions and polar coordinates. From half-circle fuzzy numbers we can conceive cylindrical fuzzy numbers, which work better in algebraic operations. An example of fuzzy control is given in a simulation to show the applicability of the proposed half-circle fuzzy numbers.

Keywords: triangular fuzzy number, half-circle fuzzy numbers, predictions, polar coordinates, Lyapunov method

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1077137

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References:


[1] A. Bogomolny, On the perimeter and area of fuzzy sets, Fuzzy Sets and Systems, 23 (1987) 257-269.
[2] D. Dubois and H. Prade, Fuzzy Sets and Systems: Theory and Applications, Academic Press, New York 1980.
[3] H. J. Zimmermann, Fuzzy Sets, Decision Making and Expert Systems, (1991) Boston: Kluwer Academic Publisher.
[4] H. J. Zimmermann., Fuzzy Set Theory and Its Applications, (1991) Kluwer,Dordrecht.
[5] J. J. Buckley, E. Eslami, Fuzzy plane geometry I: Points and lines, Fuzzy Sets and Systems, 86 (1997) 179-187.
[6] J.J. Buckley, E. Eslami, Fuzzy plane geometry II: Circles and polygons, Fuzzy Sets and Systems, 87 (1997) 79-85.
[7] J. J. Buckley, Ranking alternatives using fuzzy number, Fuzzy Set and System, 15 (1985) 21 -31.
[8] J. J. Buckley, Fuzzy Hierarchical Analysis, Fuzzy Sets and System, 17 (1985) 233-247.
[9] P.J.M. van Laarhoven and W. Perdrycz, A fuzzy Extension of Saaty priority theory, Fuzzy Set and Systems, 11 (1983) 229-241.
[10] Jr. Roy Goetschel and Voxman William, Topological properties of fuzzy numbers, Fuzzy Sets and Systems, 10 (1983) 87-99.
[11] J.M. Mendel, Fuzzy logic systems for engineering: A tutorial, Proceedings of the IEEE, 83 March 1995.
[12] F.H. Hsiao, W.L. Chiang, C.W. Chen, S.D. Xu and S.L. Wu, Application and robustness design of fuzzy controller for resonant and chaotic systems with external disturbance, International Journal of Uncertainty, Fuzziness and Knowledge-Based System, 13 (2005) 281-295.
[13] C.W. Chen, W.L. Chiang, and F.H. Hsiao, Stability analysis of T-S fuzzy models for nonlinear multiple time-delay interconnected systems, Mathematics and Computers in Simulation, 66 (2004) 523-537.
[14] F.H. Hsiao, C.W. Chen, and Y.W. Liang et al., T-S fuzzy controllers for nonlinear interconnected systems with multiple time delays, IEEE Trans. Circuits & Systems-I, 52 (2005)1883- 1893.
[15] C.Y. Chen, R.C. Hsu and C.W. Chen, Fuzzy logic derivation of neural network models with time delays in subsystems, International Journal on Artificial Intelligence Tools, 14 (2005) 967-974.
[16] T.Y. Hsieh, Morris H. L. Wang, and C.W. Chen et al., A new viewpoint of s-curve regression model and its application to construction management, International Journal on Artificial Intelligence Tools, 15 (2006)131-142.
[17] C.W. Chen, W.L. Chiang, and C.H. Tsai et al., Fuzzy Lyapunov method for stability conditions of nonlinear systems, International Journal on Artificial Intelligence Tools, 15 (2006) 163-171.
[18] C.W. Chen, C.L. Lin, C.H. Tsai, C.Y. Chen, and K. Yeh, A novel delaydependent criteria for time-delay T-S fuzzy systems using fuzzy Lyapunov method, International Journal on Artificial Intelligence Tools, 16 (2007) 545-552.
[19] V.E. Omurlu, S.N. Engin, and I. Yuksek, Application of fuzzy PID control to cluster control of viaduct road vibration, Journal of Vibration and Control, 14 (2008) 1201-1215.
[20] F. H. Hsiao, J. D. Hwang, C.W. Chen and Z. R. Tsai, Robust stabilization of nonlinear multiple time-delay large-scale systems via decentralized fuzzy control, IEEE Trans. Fuzzy Systems, 13 (2005) 152- 163.
[21] F. Amini and R. Vahdani, Fuzzy optimal control of uncertain dynamic characteristics in tall buildings subjected to seismic excitation, Journal of Vibration and Control, 14 (2008) 1843-1867.
[22] C.W. Chen, Stability conditions of fuzzy systems and its application to structural and mechanical systems, Advances in Engineering Software, 37 (2006) 624-629.
[23] F.H. Bellamine and A. Elkamel, Model order reduction using neural network principal component analysis and generalized dimensional analysis, Engineering Computations, 25 (2008) 443-463.
[24] C.W. Chen, K. Yeh, W.L. Chiang, C H∞ control and stability analysis fo.rY s.t rCuhcetunr aaln dsy sDte.Jm. sW uus,i nMg oTdaeklainggi-, Sugeno fuzzy model, Journal of Vibration and Control, 13 (2007) 1519- 1534.
[25] T.C. Kuo, Y.J. Huang, H.H. Yu, FRSMC Design for the steering control and diving control of underwater vehicles, Journal of Marine Science and Technology, 17 (2009) 50-59.
[26] C.Y. Chang, K.C. Hsu, K.H. Chiang et al., Modified fuzzy variable structure control method to the crane system with control deadzone problem, Journal of Vibration and Control, 14 (2008) 953-969.
[27] S. Zadrozny and J. Kacprzyk, On an interpretation of keywords weights in information retrieval: some fuzzy logic based approaches, International Journal of Uncertainty, Fuzziness and Knowledge-Based System, 17 (2009) 41-58.
[28] C. H. Tsai, C.W. Chen, W. L. Chiang, and M. L. Lin, Application of geographic information system to the allocation of disaster shelters via fuzzy models, Engineering Computations, 25 (2008) 86-100.
[29] M.T. Mizukoshi, L.C. Barros, R.C. Bassanezi, Stability of fuzzy dynamic systems, International Journal of Uncertainty, Fuzziness and Knowledge-Based System, 17 (2009) 69-83.
[30] K. Yeh, C.Y. Chen, and C.W. Chen, Robustness design of time-delay fuzzy systems using fuzzy Lyapunov method, Applied Mathematics and Computation, 205 (2008) 568-577.
[31] M. Rezania, A.A. Javadi, and O. Giustolisi, An evolutionary-based data mining technique for assessment of civil engineering systems, Engineering Computations, 25 (2008) 500-517.
[32] C. Y. Chen, C. W. Shen, C.W. Chen, K. F. R. Liu, and M. J. Jeng, A stability criterion for time-delay tension leg platform systems subjected to external force, China Ocean Engineering, 23 (2009) 49-57.
[33] S.H.L. Mirhosseyni and P. Webb, A hybrid fuzzy knowledge-based expert system and genetic algorithm for efficient selection and assignment of material handling equipment, Expert Systems with Applications, 36 (2009) 11875-11887.
[34] G. Athanasopoulos, C.R. Riba, C. Athanasopoulou, A decision support system for coating selection based on fuzzy logic and multi-criteria decision making, Expert Systems with Applications, 36 (2009) 11848- 10853.
[35] S.M. Chen, N.Y. Wang, J.S. Pan, Forecasting enrollments using automatic clustering techniques and fuzzy logical relationships, Expert Systems with Applications, 36 (2009) 11070-10076.
[36] F.G. Zhao, J. Chen, L. Guo et al., Neuro-fuzzy based condition prediction of bearing health, Journal of Vibration and Control, 15 (2009) 1079-1091.
[37] C.W. Chen, Modeling and control for nonlinear structural systems via a NN-based approach, Expert Systems with Applications, 36 (2009) 4765- 4772.
[38] M.B. Trabia, J.M. Renno, K.A.F. Moustafa, Generalized design of an anti-swing fuzzy logic controller for an overhead crane with hoist, Journal of Vibration and Control, 14 (2008) 319-346.
[39] P.C. Chen, C.W. Chen and W.L. Chiang, GA-based modified adaptive fuzzy sliding mode controller for nonlinear systems, Expert Systems with Applications, 36 (2009) 5872-5879.
[40] S. Yildirim, S. Erkaya, I. Eski et al., Noise and vibration analysis of car engines using proposed neural network, Journal of Vibration and Control, 15 (2009) 133-156.
[41] C.Y. Chen, J.W. Lin, W.I. Lee, and C.W. Chen, Fuzzy control for an oceanic structure: a case study in time-delay TLP system, Journal of Vibration and Control, accepted.
[42] O. Bouidghaghen, M. Boughanem, H. Prade et al., A fuzzy logic approach to topic extraction in texts, International Journal of Uncertainty, Fuzziness and Knowledge-Based System, 17 (2009) 81- 112.
[43] C.W. Chen, Application of fuzzy-model-based control to nonlinear structural systems with time delay: an LMI method, Journal of Vibration and Control, accepted.
[44] J.W. Tu, W.L. Qu, J. Chen, An experimental study on semi-active seismic response control of a large-span building on top of ship lift towers, Journal of Vibration and Control, 14 (2008) 1055-1074.
[45] P.C. Chen, C.W. Chen and W.L. Chiang, GA-based fuzzy sliding mode controller for nonlinear systems, Mathematical Problems in Engineering, Doi: 10.1155/2008/325859 (2008).
[46] F.H. Hsiao, C.W. Chen, Y.H. Wu and W.L. Chiang, Fuzzy controllers for nonlinear interconnected TMD systems with external force, Journal of The Chinese Institute of Engineers, 28 (2005) 175-181.
[47] Q.S. Zhong, J.F. Bao, and Y.B. Yu, et al., Impulsive control for T-S fuzzy model-based chaotic systems, Mathematics and Computers in Simulation, 79 (2008) 464-475.
[48] C.L. Lin, J.F. Wang, C.Y. Chen, C.W. Chen, and C.W. Yen, Improving the generalization performance of RBF neural networks using a linear regression technique, Expert Systems with Applications, 36 (2009) 12049-12053.
[49] G. Buyukozkan, and D. Ruan, Evaluation of software development projects using a fuzzy multi-criteria decision approach, Mathematics and Computers in Simulation, 77 (2008) 409-415.
[50] K. Guesmi, N. Essounbouli, and A. Hammoui, et al., Shifting nonlinear phenomena in a DC-DC converter using a fuzzy logic controller, Mathematics and Computers in Simulation, 76 (2008) 398-409.
[51] C.W. Chen, The stability of an oceanic structure with T-S fuzzy models, Math. Comput. Simul. (2009), doi:10.1016/j.matcom.2009.08.001.
[52] F. Amini and R. Vahdani, Fuzzy optimal control of uncertain dynamic characteristics in tall buildings subjected to seismic excitation, Journal of Vibration and Control, 14 (2008) 1843-1867.