Abstract
Fault detection (FD) for non-Gaussian stochastic systems with time-varying delay is studied. The available information for the addressed problem is the input and the measured output probability density functions (PDFs) of the system. In this framework, firstly, by constructing an augmented Lyapunov functional, which involves some slack variables and a tuning parameter, a delay-dependent condition for the existence of FD observer is derived in terms of linear matrix inequality (LMI) and the fault can be detected through a threshold. Secondly, in order to improve the detection sensitivity performance, the optimal algorithm is applied to minimize the threshold value. Finally, paper-making process example is given to demonstrate the applicability of the proposed approach.
Highlights
Fault detection for control systems has been of interest for many researchers during the past three decades
We provide a further contribution to Fault detection (FD) for non-Gaussian stochastic systems with time-varying delay based on the method in [20, 21]
By constructing an augmented Lyapunov functional, which involves some slack variables and a tuning parameter, a delay-dependent condition for the existence of FD observer is derived in terms of linear matrix inequality (LMI) and the fault can be detected through a threshold
Summary
Fault detection for control systems has been of interest for many researchers during the past three decades (see [1,2,3,4,5,6,7] for surveys). Typical examples include fibre length distribution control in paper making, molecular weight distribution control, particle size distribution control in polymerization, and powder industries [8] For such practical control problems, a new group of strategies that control the shape of PDFs for stochastic systems have been developed in the past few years (see [11, 12]), where the purpose is to design a controller so that the PDF of the system output can track a prespecified desired PDF, as close as possible. We provide a further contribution to FD for non-Gaussian stochastic systems with time-varying delay based on the method in [20, 21]. If their dimensions are not explicitly stated, are assumed to be compatible for related algebraic operations
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