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Number 4 - December 2014
Volume 24 - 2014
Further results on robust fuzzy dynamic systems with LMI D-stability constraints
Wudhichai Assawinchaichote
Abstract
This paper examines the problem of designing a robust H∞ fuzzy controller with D-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 H∞ fuzzy controller that guarantees (i) the L2-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value, and (ii) the closed-loop poles of each local system to be within a specified stability region. Sufficient conditions for the controller are given in terms of LMIs. Finally, to show the effectiveness of the designed approach, an example is provided to illustrate the use of the proposed methodology.
Keywords
fuzzy controller, robust H∞ control, LMI approach, D-stability, Takagi–Sugeno fuzzy model