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TS Fuzzy Controller to Stochastic Systems
Abstract:This paper proposes the analysis and design of robust fuzzy control to Stochastic Parametrics Uncertaint Linear systems. This system type to be controlled is partitioned into several linear sub-models, in terms of transfer function, forming a convex polytope, similar to LPV (Linear Parameters Varying) system. Once defined the linear sub-models of the plant, these are organized into fuzzy Takagi- Sugeno (TS) structure. From the Parallel Distributed Compensation (PDC) strategy, a mathematical formulation is defined in the frequency domain, based on the gain and phase margins specifications, to obtain robust PI sub-controllers in accordance to the Takagi- Sugeno fuzzy model of the plant. The main results of the paper are based on the robust stability conditions with the proposal of one Axiom and two Theorems.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1071680Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1395
 K. J. Astrom and T. Hagglund. Automatic tuning of simple regulators with specifications on phase and amplitude margins. Automatica, 20:645-651, 1984.
 S. ┬©Cetin and O. Demir. Fuzzy pid controller with coupled rules for a nonlinear quarter car model. In Proceedings of World Academy of Science, Engineering and Technology, volume 31, pages 238-241, Jul. 2008.
 M.J. Castro-Sitiriche, A. Rubaai, and A.R. Ofoli. Design and implementation of parallel fuzzy pid controller for high-performance brushless motor drives: An integrated environment for rapid control prototyping. IEEE Transactions on Industry Applications, 44(7):1090-1098, 2008.
 X. Cheng, Z. Lei, and Y. Junqiu. Fuzzy pid controller for wind turbines. In Second International Conference on Intelligent Networks and Intelligent Systems, pages 74-77, 2009.
 G.F. Franklin, J. D. Powell, and A.E. Baeini. Feedback control of dynamic systems. Addison-Wesley, 1986.
 R. Gao, K. Ohtsubo, and H. Kajiwara. Lpv design for a space vehicle attitude control benchmark problem. In SICE Annual Conference in Fukui, pages 1461-1464, 2003.
 P. Gaspar, Z. Szabo, and J. Bokor. Design of reconfigurable and faulttolerant suspension systems based on lpv methods. In 47th IEEE Conference on Decision and Control - CDC, pages 5384-5389, 2008.
 A.M. Ibrahim. Fuzzy Logic for Embedded Systems Applications. Elsevier Science, USA, 2003.
 H. Kajiwara, P. Apkarian, and P. Gahinet. Lpv techniques for control of an inverted pendulum. IEEE Control Systems Magazine, pages 44-54, 1999.
 B. Lu, F. Wu, and S. Kim. Switching lpv control of an f-16 aircraft via controller state reset. IEEE Transactions on Control Systems Technology, 14(2):267-277, 2006.
 E. Mamdani and S. Assilian. An experiment in linguistic synthesis with a fuzzy logic controller. International Journal of Man-Machine Studies, 7(1):1-13, 1975.
 J. Park, C. Oh, H. Bang, and M. Tahk. An experimental study on attitude control of spacecraft using fuzzy controller. Dept. of Aerospace Engineering, Korea. Advanced Institute of Science and Technology, 2007.
 P. Pelladra, P. Apkarian, and H. Tuan. Missile autopilot design via a multi-channel lft/lpv control method. International Journal Robust and Nonlinear Control, 12(1):1-20, 2009.
 A.I. Petros and J. Sun. Robust Adaptive Control. PTR Prentice-Hall, 1996.
 G.L.O. Serra and C.P. Boturra. Genetic approach for neural scheduling of multiobjective fuzzy pi controllers. In International Symposium on Evolving Fuzzy Systems, pages 274-279, sept. 2006.
 J.S. Shamma and M. Athans. Stability and robustness of slowly timevarying linear systems. In 26th IEEE Conference on Decision and Control, volume 26, pages 434-439, dec. 1987.
 J.A. Silva, G.L.O. Serra, and C.C.T. Ferreira. Development method for a robust pid fuzzy controller of lpv systems. In Proceedings of IEEE International Conference on Fuzzy Systems - FUZZY IEEE 2009, pages 826-830, 2009.
 T. Takagi and M. Sugeno. Fuzzy identification of systems and its applications to modeling and control. In Proceedings of the IEEE Transactions on Systems, Man and Cybernetics, volume 15, pages 116- 132, 1985.
 K. Tanaka and M. Sugeno. Concept of stability margin of fuzzy systems and design of robust fuzzy controller. In 2nd IEEE International Conference on Fuzzy Systems, volume 1, pages 29-34, 1993.
 H.O. Wang, K. Tanaka, and M. Griffin. Parallel distributed compensation of nonlinear systems by takagi-sugeno fuzzy model. In 5th IEEE International Conference on Fuzzy Systems, volume 2, pages 531-538, 1995.
 H. Ying, W. Siler, and J. Buckley. Fuzzy control theory: a nonlinear case. Automatica, 26:513-520, 1990.
 L. A. Zadeh. Fuzzy Sets, volume 8. Information and Control, 1965.