UKF-based fault detection for nonlinear stochastic systems with strong noise and communication protocols
Yang Feng1, Ming Gao1, Wuxiang Huai2
1College of Control Science and Engineering, China University of Petroleum (East China), Qingdao, 266580, China.
Abstract:
This paper investigates the problem of unscented Kalman filter-based fault detection for nonlinear stochastic systems with strong noise and communication protocols. Firstly, the state estimation for nonlinear systems with communication protocols (Round-Robin protocol and weighted Try-Once-Discard protocol) is achieved using the unscented Kalman filter. Then, the new residual generator and residual evaluation function are designed using the exponentially weighted moving average method to counteract the impact of strong noise. Based on the stochastic analysis theory, a quantitative inequality is established to analyze the fault detectability in the sense of probability, thereby deriving the relationships among fault amplitude, weight coefficient, false alarm rate, and missed detection rate. Finally, the effectiveness of the proposed fault detection method is verified for the rotary steerable drilling tool system through numerical simulations and experiments.
Related Concept Videos
Propagation of Uncertainty from Systematic Error
Propagation of Uncertainty from Random Error
Linear time-invariant Systems
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
BIBO stability of continuous and discrete -time systems
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
Linear Approximation in Frequency Domain
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
Feedback control systems
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...


