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

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  • Lizhen Li

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.

Suggested Citation

  • Lizhen Li, 2016. "Observer-based controller for 2-D T–S fuzzy model," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(14), pages 3455-3464, October.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:14:p:3455-3464
    DOI: 10.1080/00207721.2015.1084396
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