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Further results on robust fuzzy dynamic systems with LMI 𝓓-stability constraints

Wudhichai Assawinchaichote — 2014

International Journal of Applied Mathematics and Computer Science

This paper examines the problem of designing a robust $_{\infty}$ fuzzy controller with -stability constraints for a class of nonlinear dynamic systems which is described by a Takagi-Sugeno (TS) fuzzy model. Fuzzy modelling is a multi-model approach in which simple sub-models are combined to determine the global behavior of the system. Based on a linear matrix inequality (LMI) approach, we develop a robust $_{\infty}$ fuzzy controller that guarantees (i) the ₂-gain of the mapping from the exogenous input noise to the...

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