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Impulsive stabilization of mechanical systems in Takagi–Sugeno models

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Takagi–Sugeno fuzzy impulsive systems are analyzed for Lyapunov stability. Lyapunov’s second method is used to establish sufficient stability conditions for such systems. It is shown that these conditions are expressed by a system of matrix inequalities. Impulsive fuzzy control of two coupled pendulums is considered as an example

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterov St., Kyiv, Ukraine, 03057

    V. S. Denisenko & V. I. Slyn’ko

Authors
  1. V. S. Denisenko
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  2. V. I. Slyn’ko
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Correspondence to V. S. Denisenko.

Additional information

Translated from Prikladnaya Mekhanika, Vol. 45, No. 10, pp. 115–130, October 2009.

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Denisenko, V.S., Slyn’ko, V.I. Impulsive stabilization of mechanical systems in Takagi–Sugeno models. Int Appl Mech 45, 1127–1140 (2009). https://doi.org/10.1007/s10778-010-0254-z

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  • DOI: https://doi.org/10.1007/s10778-010-0254-z

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