Reliability analysis of mechatronic systems using censored data and petri nets: application on an antilock brake system (abs)

Abstract

Reliability estimation is becoming established as an important issue of the design process of mechatronic systems (i.e. systems involving in their implementation more basic technologies, such as mechanics, electronics and software). We propose to estimate the mechatronic system reliability using stochastic Petri Nets. The failure times are simulated in the Petri Nets model integrating the reliability of the components of the mechatronic system. The reliability is estimated from simulated failure times by using the Maximum Likelihood method. The paper is illustrated by an application example on ABS system. This paper presents the results of a co-operational work, getting together mechanical, electronic, and software engineers.The proposed method allows reliability evaluating both for n mechatronic systems and for their different sub-systems.An application to a vehicle Antilock Brake System (ABS) illustrates this method. We model the mechanical, electronic and embedded software sub-systems, to design, to check and to estimate the reliability of the ABS. Reliability evaluation of mechatronic systems requires the modeling of failure behavior of different components.We propose to evaluate mechatronic systems reliability using censored data. By using the failure times of the system, we compute the values of the parameters for all the components by maximum likelihood estimator with censored times.

Evaluating the Predicted Reliability of Mechatronic Systems: State of the Art

“…Alin Gabriel [7], [8] proposed for the estimation of predictive reliability the Method Petri Net Stochastic Determined which is based on a functional modelling (providing the time of functioning); a dysfunctional modeling (giving the moments of failure). The method has been applied on the mechatronic system of the ABS.…”

Diagnosability analysis of an ABS system modeled using Petri nets

“…In modern cars the whole system is composed of four dierent ABS, one for each wheel, that work locally and independently. The reliability of ABS has been studied by several authors [6,5,8]. In particular, in [6] Jerath and Sheldon model the ABS of a vehicle system using stochastic Petri nets (PNs).…”

“…Their model includes the failure modes and eects associated with the failure rates of critical components. In [5] and [8] respectively Guerin et al and Mihalache et al model the mechanical, electronic and embedded software sub-systems, to design, check and estimate the reliability of the ABS. Their model, that is a stochastic PN system, takes into account the faulty behavior of the dierent components.…”

Reliability of safety‐critical systems: A state‐of‐the‐art review

“…Yacoub et al 28 30 Tu et al 53 6 Bearfield et al 29 31 Singh and Rajput 54 7 Huang et al 30 32 Jia et al 55 8 Dutuit and Rauzy 32 33 Singh et al 56 9 Chang et al 31 34 Yu and Jie 63 10 Mihalache et al 33 35 Kumar et al 57 11 Wende et al 34 36 Vicenzutti et al 58 12 Shalev and Tiran 35 37 Kaur et al 59 13 Chen et al 36 38 Chi et al 60 14 Kumar and Misra 37 39 Wang et al 61 15 Guo and Yang 38 40 Wu and Schnieder 62 16 Bucci et al 39 17 Chew et al 40 18 Aljazzar et al 41 19 Volkanovski et al 42 20 Kumar and Jackson 43 21 Cai et al 44 22 Tuan et al 45 23 Ramos et al 46 24 Kleyner and Volovoi …”

“…Mihalache et al 33 • The failure rate taken is as constant, which is not true in the SCS, because the SCS contains hardware, software and firmware components.…”