An iterative observer-based fault estimation for discrete-time T-S fuzzy systems

Yongsheng Ma, Mouquan Shen, Haiping Du, Yuesheng Ren and Guangrui Bian

International Journal of Systems Science, 2020, vol. 51, issue 6, 1007-1018

Abstract: An improved iterative observer for fault estimation of discrete-time T-S fuzzy systems is discussed in this paper. A discrete mean value convergence lemma is proposed firstly. Based on this lemma, a sequence of iterative observers are constructed to estimate the unknown fault. By choosing a general Lyapunov function, conditions for the resultant augmented system to be asymptotically stable with the required $H_\infty $H∞ performance are built in the framework of linear matrix inequalities. With the established conditions, an iterative algorithm is developed to realise the fault estimation. A numerical example is provided to verify the effectiveness of the proposed method.

Date: 2020
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DOI: 10.1080/00207721.2020.1746440

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