Fault Diagnosis in Nonlinear Hybrid Systems

Abstract

The problem of fault diagnosis in hybrid systems is investigated. It is assumed that the hybrid systems under consideration consist of a finite automaton, a set of nonlinear difference equations and the so-called mode activator that coordinates the action of the other two parts. To solve the fault diagnosis problem, hybrid residual generators based on both diagnostic observers and parity relations are used. It is shown that the hybrid nature of the system imposes some restrictions on the possibility of creating such generators. Sufficient solvability conditions of the fault diagnosis problem are found. Examples illustrate details of the solution.

A fault detection method based on stacking the SAE-SRBM for nonstationary and stationary hybrid processes

“…This relationships are often employed to achieve fault detection, e.g., using the auto-regressive moving average model (ARMA) or canonical correlation analysis (Chen et al, 2020a;2020b), etc. Fault monitoring signals, generated in practical industrial systems, tend to pose some new challenges, such as nonlinearity, dynamics, variability, and limited labels in nonstationary and stationary hybrid processes, which leads to the fact that the traditional, linear, and stationary common trend analysis methods are difficult to implement in fault detection (Zhirabok and Shumsky, 2018;Byrski et al, 2019). Therefore, considering the diversity of nonstationary and stationary industrial process faults and the fact that most of them are nonlinear or even strongly nonlinear, it is necessary to combine multiple variable analysis to explore relationships between many monitored variables, and then to describe the dynamic system behaviors (Worden et al, 2016;Ma et al, 2018;Zhang and Zhao, 2017;Zhang et al, 2018;Yan et al, 2016).…”

Robust detection of intermittent multiplicative sensor fault

“…Theorem 1. Consider the fault-free system (1)- (2) with filter (10)- (12), then the gain (18) can make the filter achieve optimal estimation at the criterion of minimum estimation error covariance:…”

“…Consider the fault-free system (1)- (2) with residual (26), the expectation and second moment of the residual are as follows: where P x (k|k − 1) is defined in (16).…”

“…There is increasing demand for quality and efficient production when integrating higher automation into modern engineering systems [1][2][3]. As an essential part of automation systems, the sensor is an important tool to obtain information, thus crucial for both system performance and safety [4].…”

Towards Simultaneous Actuator and Sensor Faults Estimation for a Class of Takagi-Sugeno Fuzzy Systems: A Twin-Rotor System Application

“…Moreover, the probability of multiple actuator and sensor faults is also increased. Thus, fault estimation is an important actor in modern Fault Diagnosis (FD) [ 1 , 2 , 3 , 4 ]. Indeed, it may give a knowledge about the presence, location and size of the fault.…”