Abstract
In order to relax the conservatism of stability analysis methods of T-S fuzzy system, by employing the concept of the efficient maximal overlapped-rules group (EMORG), a theorem is proposed to reduce the difficulty of stability analysis for T-S fuzzy system, which can guarantee the quadratic stability of the open-loop T-S fuzzy systems globally. This theorem only requires finding a local common positive definite matrix in each EMORG. Finally, an example is conducted to show the effectiveness of the proposed method.
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References
Tanaka, K., Sugeno, M.: Stability analysis and design of fuzzy control systems. Fuzzy Sets and Systems 45(2), 135–156 (1992)
Sala, A., Arino, C.: Relaxed stability and performance LMI conditions for Takagi-Sugeno fuzzy systems with Polynomial constraints on membership function shapes. IEEE Transactions on Fuzzy Systems 16(5), 1328–1336 (2008)
Tanaka, K., Hori, T., Wang, H.O.: A multiple Lyapunov function approach to stabilization of fuzzy control systems. IEEE Transactions on Fuzzy Systems 11(4), 582–589 (2003)
Zhang, S., Bai, S.: Improved approach on stability analysis of T-S fuzzy system. Control and Decision 23(11), 1272–1276 (2008) (in Chinese)
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© 2011 Springer-Verlag Berlin Heidelberg
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Zhang, S. (2011). Simulation Research on Stability for T-S Fuzzy System. In: Lin, S., Huang, X. (eds) Advances in Computer Science, Environment, Ecoinformatics, and Education. CSEE 2011. Communications in Computer and Information Science, vol 216. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23345-6_11
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DOI: https://doi.org/10.1007/978-3-642-23345-6_11
Publisher Name: Springer, Berlin, Heidelberg
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