Transmitted-Data-Driven Convergent Iterative Observer-Based Fault Estimation for T-S Fuzzy Systems With Local Nonlinearities and Faults
针对含局部非线性和故障的T-S模糊系统，利用无线传输的离散采样输出数据设计数据驱动的初始和迭代观测器，实现离线故障估计，并提出了保证估计序列收敛的迭代估计收敛定理。
In this article, based on the discrete sampled output data received through the wireless transmission from the system (equipment) represented by Takagi-Sugeno (T-S) fuzzy models with local nonlinearities and faults, a data-driven-based initial and iterative observers are designed to realize the offline fault estimation (FE). The observers do not rely entirely on continuous measured output and do not need to interface docking with the original system equipment. In the FE process of the work, an iterative estimation convergence theorem (IECT) is proposed, which is a new breakthrough for the convergence theory of estimation mean sequence in the literature. The IECT can guarantee the obtained offline iterative FE sequence from the transmitted-data-driven observers to be convergent in certain conditions. Two numerical examples are introduced to test the proposed method.