数学
量化(信号处理)
符号
指数稳定性
离散数学
约束(计算机辅助设计)
跳跃式监视
算法
域代数上的
计算机科学
纯数学
非线性系统
算术
人工智能
物理
几何学
量子力学
作者
Jiasheng Song,Xiao‐Heng Chang
出处
期刊:IEEE Transactions on Fuzzy Systems
[Institute of Electrical and Electronics Engineers]
日期:2023-03-01
卷期号:31 (3): 1031-1040
被引量:6
标识
DOI:10.1109/tfuzz.2022.3193446
摘要
This article proposes an induced $\mathcal {L}_\infty$ sampled-data control problem for the Takagi–Sugeno (T–S) fuzzy system with dynamic quantization, in which the communication channel is assumed to be bandwidth-constrained. First, according to the input delay approach, the dynamics of the considered closed-loop system is modeled by a delay system with constrained nonlinear term. Then, for the bandwidth-constrained communication channel, a constraint condition is introduced to ensure that the adjustable parameter of the dynamic quantization strategy is limited by a bounding region. The main purpose of the problem addressed is to design a controller, such that the closed-loop system guarantees the asymptotic stability with an induced $\mathcal {L}_\infty$ performance index. The sufficient conditions of stability with induced $\mathcal {L}_\infty$ control performance are given as the basis of controller design. Furthermore, the induced $\mathcal {L}_\infty$ sampled-data control scheme and the improved updating rule of dynamic parameter are proposed. Finally, an example shows the effectiveness of the the proposed controller design scheme.
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