- -

Estimación del dominio de atracción de sistemas no lineales mediante modelos borrosos polinomiales

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Estimación del dominio de atracción de sistemas no lineales mediante modelos borrosos polinomiales

Mostrar el registro completo del ítem

Pitarch, J.; Sala, A.; Ariño, C.; Bedate, F. (2012). Estimación del dominio de atracción de sistemas no lineales mediante modelos borrosos polinomiales. Revista Iberoamericana de Automática e Informática industrial. 9(2):152-161. https://doi.org/10.1016/j.riai.2012.02.007

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/144302

Ficheros en el ítem

Metadatos del ítem

Título: Estimación del dominio de atracción de sistemas no lineales mediante modelos borrosos polinomiales
Otro titulo: Domain of attraction estimation for nonlinear systems with fuzzy polynomial models
Autor: Pitarch, J.L. Sala, A. Ariño, C.V. Bedate, F.
Entidad UPV: Universitat Politècnica de València. Departamento de Ingeniería de Sistemas y Automática - Departament d'Enginyeria de Sistemes i Automàtica
Fecha difusión:
Resumen:
[EN] Many approaches in fuzzy systems literature express LMI conditions for a Takagi-Sugeno model and finish the problem once those conditions are feasible. However, studying the obtained region of attraction and its ...[+]


[ES] La mayor parte de referencias de la literatura en control borroso plantean condiciones LMI para un modelo Takagi-Sugeno y dan por terminado el problema una vez se obtienen resultados factibles. No obstante, dejan sin ...[+]
Palabras clave: Lyapunov function , Domain of attracion , Fuzzy systems , Takagi-Sugeno , Polinomial systems , Local stabilty , Sum of squares , Conservatism , Función de Lyapunov , Dominio de atracción , Sistemas borrosos , Sistemas polinomiales , Estabilidad local , Sumas de cuadrados , Conservadurismo
Derechos de uso: Reserva de todos los derechos
Fuente:
Revista Iberoamericana de Automática e Informática industrial. (issn: 1697-7912 ) (eissn: 1697-7920 )
DOI: 10.1016/j.riai.2012.02.007
Editorial:
Elsevier
Versión del editor: https://doi.org/10.1016/j.riai.2012.02.007
Código del Proyecto:
info:eu-repo/grantAgreement/MICINN//DPI2008-06731-C02-01/ES/IDENTIFICACION Y CONTROL DE SISTEMAS NO LINEALES Y LTV MEDIANTE MULTI-MODELOS TAKAGI-SUGENO Y POLINOMIALES/
info:eu-repo/grantAgreement/MICINN//BES-2009-013882/ES/BES-2009-013882/
Agradecimientos:
Este trabajo ha sido realizado parcialmente gracias al apoyo del Gobierno de España (DPI2008-06731-C02-01). El primer autor en particular agradece al Ministerio de Ciencia e Innovación (MICINN) por la beca FPI BES-2009-013882.[+]
Tipo: Artículo

References

Amato, F., Calabrese, F., Cosentino, C., & Merola, A. (2011). Stability analysis of nonlinear quadratic systems via polyhedral Lyapunov functions. Automatica, 47(3), 614-617. doi:10.1016/j.automatica.2010.12.005

Chesi and Graziano., Chesi, Graziano., 2007.«On the Gap Between Positive Polynomials, SOS of Polynomials». IEEE Transactions on Automatic Control 52 (6) (Junio): 1066-1072. doi: 10.1109/T2007.

Guerra, T. 2004. «LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form». Automatica 40 (5) (Mayo): 823-829. doi:10.1016/j.automatica.2003.12.014. [+]
Amato, F., Calabrese, F., Cosentino, C., & Merola, A. (2011). Stability analysis of nonlinear quadratic systems via polyhedral Lyapunov functions. Automatica, 47(3), 614-617. doi:10.1016/j.automatica.2010.12.005

Chesi and Graziano., Chesi, Graziano., 2007.«On the Gap Between Positive Polynomials, SOS of Polynomials». IEEE Transactions on Automatic Control 52 (6) (Junio): 1066-1072. doi: 10.1109/T2007.

Guerra, T. 2004. «LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form». Automatica 40 (5) (Mayo): 823-829. doi:10.1016/j.automatica.2003.12.014.

Ichihara, Hiroyuki. 2008. State feedback synthesis for polynomial systems with bounded disturbances. En 2008 47th IEEE Conference on Decision and Control, 2520-2525. Cancun, Mexico. doi: 10.1109/CDC. 2008.4738610. http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=4738610.

Jarvis-Wloszek, Z., R. Feeley, W. Tan, K. Sun, y A. Packard. 2005. «Control applications of sum of squares programming». Positive Polynomials in Control. Lecture Notes in Control and Information Sciences. Springer Berlin /Heidelberg.

Lofberg, J. 2009. «Pre- and Post-Processing Sum-of-Squares Programs in Practice». IEEE Transactions on Automatic Control 54 (Mayo): 1007-1011.doi:10.1109/TAC.2009.2017144.

Luenberger, David. 2008. Linear and nonlinear programming. New York: Springer

Neerhoff, F.L., y P. van der Kloet. 2001. The characteristic equation for time-varying models of nonlinear dynamic systems. EnProc. ECCTD, 28-31.

Papachristodoulou, A., y S. Prajna. 2002. On the construction of Lyapunov functions using the sum of squares decomposition. En Decision and Con-trol, 2002, Proceedings of the 41st IEEE Conference on, 3:3482-3487.

Pitarch, J.L., C.V. Ariño, F. Bedate, y A. Sala. 2010. Local fuzzy modeling: Maximising the basin of attraction. En International Conference on Fuzzy Systems, 1-7. Barcelona, Spain. doi:10.1109/FUZZY. 2010.5584617. http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=5584617.

Pitarch, Jose Luis, Carlos Ariño, y Antonio Sala. 2011. Estimating domains of attraction of fuzzy polynomial systems. En, 680-685. Advances in Intelligent Systems Research. Aix-les-Bains: Atlantis Press. doi:10.2991/eusflat.2011.35. http://www.atlantis-press.com/php/paper-details.php?id=2220.

Prajna, S., A. Papachristodoulou, P. Seiler, y P. A Parrilo. 2004a. SOSTOOLS: Control applications and new developments. En Computer Aided Control Systems Design, 2004 IEEE International Symposium on, 315-320.

Prajna, S., A. Papachristodoulou, P. Seiler, y P. A Parrilo. 2004b. Sum of Squares Optimization Toolbox for MATLAB User's guide. Citeseer.

Prajna, S., A. Papachristodoulou, y P.A. Parrilo. 2002. Introducing SOSTOOLS: a general purpose sum of squares programming solver. En Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 741-746. Las Vegas, NV, USA. doi: 10.1109/CDC. 2002.1184594. http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=1 184594.

Prajna, S., A. Papachristodoulou, y F. Wu. 2004. Nonlinear control synthesis by sum of squares optimization: A Lyapunov-based approach. En Control Conference, 2004. 5thAsian, 1:157-165.

Reznick, B. 2000. «“Some concrete aspects of hilbert's 17th problem». Real algebraic geometry and ordered structures: AMS Special Session on Real Algebraic Geometry and Ordered Algebraic Structures held at Louisiana State University, Baton Rouge, LA, April 17-21, 1996: Special Semester on Real Algebraic Geometry and Ordered Structures held at Louisiana State University and Southern University, Baton Rouge, LA, January-May 1996 253: 251.

Sala, A. 2007. Reducing the gap between fuzzyand nonlinear control (invited talk). En, 1-6. Valenciennes, France. http://personales.upv.es/asala/publics/papers/C81AFNC07PLEN.pdf.

Sala, A. 2008. Introducing shape-dependent relaxed conditions in fuzzy control of nonlinear systems in Takagi-Sugeno form. En Fuzzy Systems, 2008. FUZZ-IEEE 2008.(IEEE World Congress on Computational Intelligence). IEEE International Conference on, 512-517.----2009. «On the conservativeness of fuzzy and fuzzy-polynomial con-trol of nonlinear systems». Annual Reviews in Control 33 (1): 48-58.

Sala, A., y C. Ariño. 2009. «Polynomial Fuzzy Models for Nonlinear Control: A Taylor Series Approach». IEEE Transactions on Fuzzy Systems 17 (6) (Diciembre): 1284-1295. doi:10.1109/TFUZZ. 2009.2029235.

Sala, A., y C. V. Ariño. 2006. Local stability of open-and closed-loop fuzzy systems. En Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control, 2006IEEE, 2384-2389.

Sala, A., y T.M. Guerra. 2008. Stability analysis of fuzzy systems: membership-shape and polynomial approaches. En Proc. IFAC World Congress, 5605-5610. Seoul, Korea.

Takagi, T., y M. Sugeno. 1985. «Fuzzy identification of systems and its applications to modeling and control». IEEE transactions on systems, man, and cybernetics 15(1) (Febrero): 116-132.

Tanaka K., H. Ohtake, y H.O. Wang. 2009. «Guaranteed Cost Control of Polynomial Fuzzy Systems via a Sum of Squares Approach». IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics) 39 (2) (Abril): 561-567. doi:10.1109/TSMCB. 2008.2006639.

Tanaka, K., H. Yoshida, H. Ohtake, y H. O Wang. 2007a. A sum of squares approach to stability analysis of polynomial fuzzy systems. En American Control Conference, 2007. ACC’07, 4071-4076.

Tanaka, K., H. Yoshida, H. Ohtake, y H. O Wang. 2007b. Stabilization of polynomial fuzzy systems via a sum of squares approach. En Intelligent Control, 2007. ISIC 2007. IEEE 22nd International Symposium on, 160-165.

Tanaka, Kazuo, y Hua O. Wang. 2001. Fuzzy control systems design and analysis: a linear matrix inequality approach. New York: Wiley.

Toh, K. C, M. J Todd, y R. H Tutuncu. 1999. «SDPT3–a Matlab software package for semidefinite programming». Optimization Methods and Software 11 (12): 545-581.

Wang, H. O, K. Tanaka, y M. F Griffin. 1996. «An approach to fuzzy control of nonlinear systems: Stability and design issues». Fuzzy Systems, IEEE Transactions on 4 (1): 14-23.

[-]

recommendations

 

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro completo del ítem