Observer-based control with finite frequency specifications for discrete-time T–S fuzzy systems

Ismail Er Rachid, Redouane Chaibi, El Houssaine Tissir and Abdelaziz Hmamed

International Journal of Systems Science, 2018, vol. 49, issue 16, 3307-3319

Abstract: This paper deals with the design problem of observer-based $ H_{\infty } $ H∞ control in finite frequency (FF) domain for discrete-time Takagi–Sugeno (T–S) fuzzy systems. With the aid of Generalised Kalman–Yakubovi $ \breve {c} $ c˘–Popov (GKYP) lemma, new conditions guaranteeing the FF $ H_{\infty } $ H∞ performance of the T–S fuzzy systems are derived in terms of Linear Matrix Inequalities. This study reduces the conservativeness of the existing design of the entire frequency range and includes it as special case. In the end, some examples are provided to illustrate the effectiveness of the proposed strategy.

Date: 2018
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DOI: 10.1080/00207721.2018.1536236

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