Fault tree analysis for technical systems
A method for fault tree analysis of a technical system, which includes a plurality of functional units, the technical system being modeled as a tree-like logical linkage of causative events, which may culminate in an undesirable event, and the causative events including malfunctions of individual functional units, a tree-like logical linkage having a self-similar structure being selected. An associated computer program is described. A surroundings detection system and/or a control system for an at least partially automated driving vehicle, including a plurality of functional units having mutual dependencies, which link the functional units in a tree-like structure in such a way that an undesirable event occurs if a logical linkage of causative events is true, the causative events including malfunctions of individual functional units, the tree-like structure being self-similar.
1. A method for performing a fault tree analysis of a technical system that includes a plurality of functional units, the method comprising:
modeling the technical system as a tree-like logical linkage of causative events that culminate in an undesirable event, the causative events including malfunctions of individual ones of the functional units;
selecting the tree-like logical linkage so as to have a self-similar structure;
modifying, in response to a malfunction having been established in at least one of the functional units by an onboard diagnosis unit of a vehicle, a probability of a malfunction of the at least one malfunctioning functional unit in the self-similar tree-like logical linkage; and
reanalyzing a probability of the undesirable event;
wherein, in response to the reanalyzed probability meeting a predefined criterion, performing at least one of:
activating at least one of an acoustic warning unit and a visual warning unit perceptible by a driver of the vehicle,
one of entirely deactivating and partially deactivating the technical system,
prompting the driver of the vehicle to take over a manual control, and
removing the vehicle from a public traffic area and taking the vehicle out of operation.
2. The method as recited in claim 1 , further comprising:
ascertaining, from at least one of a predefined catalog and a parameterized approach, a self-similar tree-like logical linkage that has a greatest possible similarity to a predefined, non-self-similar tree-like logical linkage.
3. The method as recited in claim 1 , further comprising:
combining states of all the functional units to form a state vector x, wherein a change over time of the state vector x is given by application of a Laplace matrix L associated with the self-similar tree-like logical linkage and by an additive noise term w.
4. The method as recited in claim 3 , further comprising:
ascertaining a mean variance of fluctuations of components of the state vector x in a stationary state of the technical system as a measure of a probability of the undesirable event.
5. The method as recited in claim 1 , wherein the technical system includes at least one of a surroundings detection system and a control system of an at least partially automated driving vehicle, and wherein the functional units include at least one of sensors, actuators, software components, and algorithms.
6. The method as recited in claim 5 , further comprising:
incrementing at least one probability of a malfunction of at least one functional unit with an increase in at least one of an age and use of the functional unit in the self-similar tree-like linkage; and
reanalyzing a probability of the undesirable event.
7. The method as recited in claim 1 , wherein a length scale and a number of nodes each change from one generation to a next generation in the self-similar tree-like logical linkage by factors which are selected from a predefined catalog.
8. A non-transitory computer-readable storage medium on which is stored a computer program containing machine-readable instructions which, when executed on at least one of a computer and a control unit, prompt the at least one of the computer and the control unit to perform a fault tree analysis of a technical system that includes a plurality of functional units, the computer program, when executed by the at least one of the computer and the control unit, causing the at least one of the computer and control unit to perform the following steps:
modeling the technical system as a tree-like logical linkage of causative events that culminate in an undesirable event, the causative events including malfunctions of individual ones of the functional units;
selecting the tree-like logical linkage so as to have a self-similar structure;
modifying, in response to a malfunction having been established in at least one of the functional units by an onboard diagnosis unit of a vehicle, a probability of a malfunction of the at least one malfunctioning functional unit in the self-similar tree-like logical linkage; and
reanalyzing a probability of the undesirable event;
wherein, in response to the reanalyzed probability meeting a predefined criterion, performing at least one of:
activating at least one of an acoustic warning unit and a visual warning unit perceptible by a driver of the vehicle,
one of entirely deactivating and partially deactivating the technical system,
prompting the driver of the vehicle to take over a manual control, and
removing the vehicle from a public traffic area and taking the vehicle out of operation.
9. The non-transitory computer-readable storage medium as recited in claim 8 , wherein the technical system includes at least one of a surroundings detection system and a control system of an at least partially automated driving vehicle, and wherein the functional units include at least one of sensors, actuators, software components, and algorithms.
10. A method for performing a fault tree analysis of a technical system that includes a plurality of functional units, the method comprising:
modeling the technical system as a tree-like logical linkage of causative events that culminate in an undesirable event, the causative events including malfunctions of individual ones of the functional units;
selecting a tree-like logical linkage having a self-similar structure;
incrementing at least one probability of a malfunction of at least one functional unit with an increase in at least one of an age and use of the functional unit in the self-similar tree-like linkage; and
reanalyzing a probability of the undesirable event;
wherein, in response to the reanalyzed probability meeting a predefined criterion, performing at least one of:
activating at least one of an acoustic warning unit and a visual warning unit perceptible by a driver of a vehicle,
one of entirely deactivating and partially deactivating the technical system,
prompting the driver of the vehicle to take over a manual control, and
removing the vehicle from a public traffic area and taking the vehicle out of operation.
11. The method claim 10 , wherein the technical system includes at least one of a surroundings detection system and a control system of an at least partially automated driving vehicle, and wherein the functional units include at least one of sensors, actuators, software components, and algorithms.