Yang, Hong; Zhao, Jun Robust control for a class of uncertain switched fuzzy systems. (English) Zbl 1141.93371 J. Control Theory Appl. 5, No. 2, 184-188 (2007). Summary: A model of uncertain switched fuzzy systems whose subsystems are uncertain fuzzy systems is presented. Robust controller for a class of switched fuzzy systems are designed by using the Lyapunov function method. Stability conditions for global asymptotic stability are developed and a switching strategy is proposed. An example shows the effectiveness of the method. Cited in 2 Documents MSC: 93C42 Fuzzy control/observation systems 93C41 Control/observation systems with incomplete information 93B35 Sensitivity (robustness) 93D20 Asymptotic stability in control theory Keywords:switched systems; fuzzy systems; robust controller; switching law PDFBibTeX XMLCite \textit{H. Yang} and \textit{J. Zhao}, J. Control Theory Appl. 5, No. 2, 184--188 (2007; Zbl 1141.93371) Full Text: DOI References: [1] Zhao, J.; Spong, M. W., Hybrid Control for Global Stabilization of the cart-pendulum system[J], Automatica, 37, 12, 1941-1951 (2001) · Zbl 1005.93041 · doi:10.1016/S0005-1098(01)00164-9 [2] Ooba, T.; Funahashi, Y., On a common quadratic Lyapunov functions for widely distant systems[J], IEEE Transactions on Automatic Control, 42, 12, 1697-1699 (1997) · Zbl 0899.93035 · doi:10.1109/9.650019 [3] Branicky, M. S., Multiple-Lyapunov functions and other analysis tools for switched and hybrid systems[J], IEEE Transactions on Automatic Control, 43, 4, 475-482 (1998) · Zbl 0904.93036 · doi:10.1109/9.664150 [4] Branicky, M. S., Stability of switched and hybrid systems[C], Proceedings of IEEE Conference Decision and Control, 3498-3503 (1994), Lake Buena, Vista: IEEE Press, Lake Buena, Vista [5] Johansson, M.; Rantzer, A., Computation of piecewise quadratic Lyapunov functions for hybrid systems[J], IEEE Transactions on Automatic Control, 43, 4, 555-559 (1998) · Zbl 0905.93039 · doi:10.1109/9.664157 [6] Li, Z. G.; Wen, C. Y.; Soh, Y. C., Stability of perturbed switched nonlinear systems[C], Proceedings of IEEE American Control Conference, 2969-2973 (1999), San Diego, California: IEEE Press, San Diego, California [7] Zhang, X. L.; Fan, Y. S., Robust controller for a class of uncertain switched linear systems[J], Journal of Tsinghua University (Science and Technology), 44, 1, 126-129 (2004) · Zbl 1133.93330 [8] Tanaka, K.; Hori, T.; O. Wang, H., A fuzzy Lyapunov approach to fuzzy control system design[C], Proceedings of IEEE American Control Conference, 25-27 (2001), Arlington, VA: IEEE Press, Arlington, VA [9] Chang, W.; Park, J. B.; Joo, Y. H., Static output-feedback fuzzy controller for Chen’s chaotic system with uncertainties[J], Information Sciences, 151, 227-244 (2003) · Zbl 1017.93053 · doi:10.1016/S0020-0255(02)00297-9 [10] Rainer, P.; Dimiter, D., Fuzzy Switched Hybrid Systems-Modeling and Identification[C], Proceedings of IEEE ISIC/CIRA/ISAS Joint Conference, 130-135 (1998), Gaithersburg: IEEE Press, Gaithersburg [11] Kazuo, T.; Iwasaki, M.; Wang, H. O., Stability and smoothness conditions for switching fuzzy systems[C], Proceedings of IEEE American Control Conference, 2475-2478 (2000), Chicago: IEEE Press, Chicago [12] Kazuo, T.; Iwasaki, M.; Wang, H. O., Switching control of an R/C Hovercraft: Stabilization and smooth switching [J], IEEE Transactions on Systems, Man, and Cybernetics, 31, 6, 853-863 (2001) · doi:10.1109/3477.969489 [13] Hiroshi, O.; Kazuo, T.; Wang, H. O., Switching fuzzy control for nonlinear systems[C], Proceedings of IEEE Conference International Symposium on Intelligent Control, 281-286 (2003), Houston: IEEE Press, Houston [14] Choi, D. J.; Park, P., State-feedback controller design for discrete-time switching fuzzy systems[C], Proceedings of IEEE Conference Decision and Control, 191-196 (2002), Las Vegas: IEEE Press, Las Vegas [15] Choi, D. J.; Park, P., Guaranteed cost controller design for discrete-time switching fuzzy systems [J], IEEE Transactions on Systems, Man, and Cybernetics, 34, 1, 110-119 (2004) · doi:10.1109/TSMCB.2003.809172 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.