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Chapter 4 BMI Stability Conditions for FMB Control Systems

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Stability Analysis of Fuzzy-Model-Based Control Systems

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 264))

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Abstract

In general, two classes of FMB control systems, namely with imperfectly and perfectly matched premise membership functions, have been investigated in the past decades. The first class of FMB control systems with imperfectly matched premise membership functions has the TS fuzzy model and the fuzzy controller not sharing the same premise membership functions. This class of FMB control systems has been extensively investigated recently. Based on the Lyapunov stability theory, LMI-based stability conditions were derived to guarantee the system stability and facilitate the synthesis of the fuzzy controller.

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© 2011 Springer-Verlag Berlin Heidelberg

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Lam, HK., Leung, F.HF. (2011). Chapter 4 BMI Stability Conditions for FMB Control Systems. In: Stability Analysis of Fuzzy-Model-Based Control Systems. Studies in Fuzziness and Soft Computing, vol 264. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17844-3_4

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  • DOI: https://doi.org/10.1007/978-3-642-17844-3_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-17843-6

  • Online ISBN: 978-3-642-17844-3

  • eBook Packages: EngineeringEngineering (R0)

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