Induced L8 Quantized Sampled-Data Control for T-S Fuzzy System With Bandwidth Constraint

作者：Song, Jiasheng; Chang, Xiao-Heng^*

来源：IEEE Transactions on Fuzzy Systems, 2023, 31(3): 1031-1040.

DOI：10.1109/TFUZZ.2022.3193446

• T-S fuzzy system
• induced L(8~~)control
• dynamic quantization strategy
• sampled-data control
• Index Terms

This article proposes an induced L-8 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 L-8 performance index. The sufficient conditions of stability with induced L-8 control per-formance are given as the basis of controller design. Furthermore, the induced L-8 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.