Observer-based controller for 2-D T–S fuzzy model

Lizhen Li

International Journal of Systems Science, 2016, vol. 47, issue 14, 3455-3464

Abstract: This paper develops a method of fuzzy observer-based H∞ controller design for two-dimensional (2-D) discrete Takagi–Sugeno (T–S) fuzzy systems. By reformulating the system, a linear matrix inequality (LMI)-based sufficient condition is derived. Then the fuzzy controller and the fuzzy observer can be independently designed, which guarantee an H∞ noise attenuation γ of the whole system. Owing to the introduction of free matrices, the presented design method has a wider range of application and can guarantee a better H∞ performance of the closed-loop fuzzy control system. Simulation results have demonstrated the effectiveness of the proposed method.

Date: 2016
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DOI: 10.1080/00207721.2015.1084396

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