Membership-function-dependent memory controller design for interval type-2 fuzzy systems under fading channels

Sen Kong, Meng Wang, Huaicheng Yan, Yongxiao Tian and Zhichen Li

International Journal of Systems Science, 2023, vol. 54, issue 2, 295-312

Abstract: This paper studies the problem of membership-function-dependent memory output feedback (MOF) controller design for interval type-2 (IT2) fuzzy systems under fading channels. A time-varying stochastic process is introduced to model the unpredictable channel fading phenomenon. Taking the impact of channel fading into consideration, a non-parallel distribution compensation (non-PDC) strategy is employed to construct a class of memory output feedback fuzzy controllers. By fully exploiting the membership functions, the membership-function-dependent performance analysis and controller synthesis results have been obtained, such that the closed-loop system can be guaranteed with mean-square exponential stability and $ H_{\infty } $ H∞ performance γ. Finally, simulation studies have been presented to demonstrate the effectiveness of the proposed approach.

Date: 2023
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DOI: 10.1080/00207721.2022.2122758

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