control for 2-D T-S fuzzy FMII model with stochastic perturbation

Xiaofeng Li, Weiqun Wang and Lizhen Li

International Journal of Systems Science, 2015, vol. 46, issue 4, 609-624

Abstract: This paper deals with the problem of H∞ control for 2-D non-linear system with stochastic perturbation. Based on spatial fuzzy set and inference mechanism, 2-D T-S fuzzy FMII model with stochastic perturbation is established first. Then the results for stability analysis and bounded real lemma are obtained. Moreover, an H∞ fuzzy controller is designed. In order to reduce the computational demand of the conditions for the existence of H∞ fuzzy controller, the control inputs are regarded as the variables independent of the states, and some free matrices are introduced to reduce the conservatism of this method. Then, a new H∞ fuzzy controller is derived. Two simulation examples are given to illustrate the effectiveness of the proposed approach.

Date: 2015
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DOI: 10.1080/00207721.2013.793780

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