A novel approach to robust H∞ integral control for TS fuzzy systems
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Publication Details
Author list: Chayaopas N., Assawinchaichote W.
Publisher: Springer
Publication year: 2018
Journal: Computational and Applied Mathematics (0101-8205)
Volume number: 37
Issue number: 2
Start page: 954
End page: 977
Number of pages: 24
ISSN: 0101-8205
eISSN: 1807-0302
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, a novel approach to the robust H∞ integral control for TS fuzzy systems is considered. The control design concept can significantly improve the system stability for such a system. Based on the H∞ control theory and linear matrix inequality approach, a set of sufficient conditions guarantee the stability of the system and the H∞ performance. The proposed RHFI controllers are able to work well with the complex nonlinearity and can overcome the effect of approximate rules in the fuzzy system in case of parametric uncertainty existing in the system. This enables the fuzzy system to give appropriate responses with a fewer number of membership functions. Finally, the proposed RHFI controllers are verified through a simulation example, i.e., DFIG wind energy system. The simulated results show that the stability of the system is satisfied and the H∞ performance is achieved. © 2016, SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional.
Keywords
Integral control, Linear matrix inequality
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