非周期图
数学
模糊逻辑
控制理论(社会学)
模糊控制系统
肯定性
区间(图论)
理论(学习稳定性)
采样(信号处理)
数学优化
计算机科学
人工智能
正定矩阵
控制(管理)
机器学习
特征向量
物理
滤波器(信号处理)
组合数学
量子力学
计算机视觉
作者
You Zheng,Huaicheng Yan,Hao Zhang,Lu Zeng,Meng Wang
出处
期刊:IEEE Transactions on Fuzzy Systems
[Institute of Electrical and Electronics Engineers]
日期:2023-01-01
卷期号:31 (1): 265-277
被引量:11
标识
DOI:10.1109/tfuzz.2022.3185711
摘要
This article investigates the stability and stabilization problem of aperiodic sampled-data nonlinear systems in the framework of interval type-2 (IT-2) fuzzy models. First, by introducing two adjustable parameters and splitting the sampling intervals into four nonuniform intervals, a refined two-side looped-functional method is constructed to fully utilize inner state information during the whole aperiodic sampling interval. Simultaneously, the positive definiteness constraint for the individual matrix in Lyapunov–Krasovskii functional can be further relaxed. Then, via constructing a novel fuzzy Lyapunov–Krasovskii functional (FLKF) together with a fuzzy-dependent-switching scheme, the available features of fuzzy membership functions (FMFs) can be further taken into consideration to increase the design flexibility. Consequently, the stability condition and corresponding controller design approach for aperiodic sampled-data IT-2 fuzzy systems can be obtained with less design conservatism and larger sampling intervals. Finally, two simulation examples are employed to demonstrate the validity and superiority of the proposed method.
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