Dissipativity-Based Intermittent Fault Detection and Fault-Tolerant Control for Uncertain Switched Random Nonlinear Systems With Multiple Delays
针对存在参数不确定、外部干扰、非线性函数和测量噪声的多时滞切换随机非线性系统，设计了基于观测器的故障检测与容错控制器，实现噪声到状态指数均方稳定，并满足耗散性和H∞性能。
The issue of fault detection (FD) and fault-tolerant control is developed for a switched random nonlinear system against multiple delays in this work. There also exist parameter uncertainties, exogenous disturbances, nonlinear functions as well as measurement noise in this model. This is one of the few tries to investigate the dissipativity issue and an design FD-based observer for the switched random system. Based on the dimensionally adjustable observer, the controller is designed to make this system noise-to-state exponentially mean-square stable. Then, these sufficient stability conditions can be earned by the piecewise Lyapunov function. Concurrently, this strict <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\left({\mathsf {Q}, \mathsf {S}, \mathsf {R}}\right)-{\upsilon }-$ </tex-math></inline-formula> dissipativity performance, this 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 as well as this 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 can be gained, separately. In addition, the merits and feasibility are presented via a numerical simulation and a practical example.