|Fault Detection and Diagnosis for Delay-Range-Dependent Stochastic Systems Using Output PDFs
Liping Yin*, Pengwei Zhu, and Tao Li
International Journal of Control, Automation, and Systems, vol. 15, no. 4, pp.1701-1709, 2017
Abstract : "This paper investigates a new fault detection and diagnosis(FDD) scheme for delay-range-dependent
stochastic systems. Compared with classical FDD problem, the measurable information in this paper is supposed
to be the output probability density function(PDF), rather than the output itself. By using the square root B-spline
approximation technique, the dynamic weight model of the output PDFs is established and the considered problem
is converted into a nonlinear FDD problem for stochastic systems with delays. The main objective of this paper is
to construct a filter based residual generator such that the fault can be detected and estimated. The FDD criteria is
provided on the basis of linear matrix inequalities(LMIs). Besides, to improve the FDD performance, the tuning
parameters, slack variables as well as the free-weighting matrices are applied to optimize the FDD criteria. Finally,
the simulations are given to demonstrate the effectiveness of the proposed method."
"B-spline expansion, dynamic weight, fault detection and diagnosis, linear matrix inequalities, probability density function."