IEEE Trans Cybern. 2022 Sep;52(9):8766-8780. doi: 10.1109/TCYB.2020.3041125. Epub 2022 Aug 18.
This study focuses on dissipativity-based fault detection for multiple delayed uncertain switched Takagi-Sugeno fuzzy stochastic systems with intermittent faults and unmeasurable premise variables. Nonlinear dynamics, exogenous disturbances, and measurement noise are also considered. In contrast to the existing study works, there is a wider range of applications. An observer is explored to detect faults. A controller is studied to stabilize the considered system. A piecewise fuzzy Lyapunov function is collected to obtain delay-dependent sufficient conditions by means of linear matrix inequalities. The designed observer has less conservatism. In addition, the strict [Formula: see text]dissipativity performance is achieved in the residual dynamic. Besides, the elaborate H performance and the elaborate H_ performance are also acquired. Finally, the availability of the method in this study is verified through two simulation examples.
本研究关注的是具有间歇故障和不可测前提变量的多时滞不确定切换 Takagi-Sugeno 模糊随机系统的基于耗散的故障检测。还考虑了非线性动力学、外生干扰和测量噪声。与现有研究工作相比，它有更广泛的应用。研究了一种观测器来检测故障。研究了一种控制器来稳定所考虑的系统。通过线性矩阵不等式收集分段模糊李雅普诺夫函数，得到时滞相关的充分条件。设计的观测器具有较小的保守性。此外，在残差动态中实现了严格的[公式：见正文]耗散性能。此外，还获得了精细 H 性能和精细 H_性能。最后，通过两个仿真示例验证了本研究方法的有效性。
