Switching Rule Design for Dual-Channel Data Transmission in Discrete-Time Fuzzy Systems
针对离散时间Takagi-Sugeno模糊切换系统，提出一种基于持续时间的切换规则，利用联合分布函数降低参数估计复杂度，并通过双通道传输策略减少数据丢包，仿真验证了在单连杆机械臂上的有效性。
This article addresses discrete-time Takagi–Sugeno fuzzy switching systems utilizing a dual-channel transmission framework combined with an innovative switching rule. A novel duration-based switching mechanism is proposed, capturing realistic multiple-distribution characteristics by employing a joint distribution function involving both the current mode and its duration. Unlike traditional semi-Markov-based transition probabilities, this method emphasizes sojourn probabilities, significantly reducing the parameter estimation complexity and computational burden. The developed mechanism supports generalized duration distributions, surpassing traditional single-distribution limitations and thus lowering conservatism in the analysis. To improve the modeling accuracy and practical applicability, mode-dependent fuzzy membership functions are adopted. Observer-based feedback control strategies are implemented to effectively estimate state variables, addressing practical challenges in state measurement. In addition, the dual-channel strategy is introduced to mitigate packet loss effects and enhance data transmission reliability. The effectiveness and superiority of the proposed method are demonstrated through simulations on a single-link robotic arm.