Dissipativity-Based Intermittent Fault Detection and Tolerant Control for Multiple Delayed Uncertain Switched Fuzzy Stochastic Systems With Unmeasurable Premise Variables
针对含间歇故障和不可测前提变量的多时滞不确定切换模糊随机系统，研究了基于耗散性的故障检测与容错控制方法，通过观测器和控制器设计实现系统稳定，并用线性矩阵不等式得到时滞相关充分条件，仿真验证了有效性。
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 <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$(\mathfrak {Q},\mathfrak {S},\mathfrak {R})-{\epsilon }-$ </tex-math></inline-formula> dissipativity performance is achieved in the residual dynamic. Besides, the elaborate <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> performance and the elaborate <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$H\_{}$ </tex-math></inline-formula> performance are also acquired. Finally, the availability of the method in this study is verified through two simulation examples.