Zhuang Guangming, Su Shun-Feng, Xia Jianwei, Sun Wei
IEEE Trans Cybern. 2021 Mar;51(3):1189-1203. doi: 10.1109/TCYB.2020.2977127. Epub 2021 Feb 17.
This article reports our study on asynchronous H filtering for fuzzy singular Markovian switching systems with retarded time-varying delays via the Takagi-Sugeno fuzzy control technique. The devised parallel distributed compensation fuzzy filter modes are described by a hidden Markovian model, which runs asynchronously with that of the original fuzzy singular Markovian switching delayed system. The fuzzy asynchronous filtering dealt with in this article contains synchronous and mode-independent filtering as special cases. Novel admissibility and filtering conditions are derived in terms of linear matrix inequalities so as to ensure the stochastic admissibility and the H performance level. Simulation examples including a single-link robot arm are employed to demonstrate the correctness and effectiveness of the proposed fuzzy asynchronous filtering technique.
本文通过Takagi-Sugeno模糊控制技术，报道了我们对具有滞后时变延迟的模糊奇异马尔可夫切换系统的异步H滤波的研究。所设计的并行分布补偿模糊滤波器模式由一个隐马尔可夫模型描述，该模型与原始模糊奇异马尔可夫切换延迟系统的模型异步运行。本文所处理 的模糊异步滤波包含同步滤波和模式无关滤波这两种特殊情况。基于线性矩阵不等式推导了新的容许性和滤波条件，以确保随机容许性和H性能水平。通过包括单连杆机器人手臂在内的仿真示例，验证了所提出的模糊异步滤波技术的正确性和有效性
