Method and device for using and producing multi-dimensional characteristic maps for controlling and regulating technical devices

A system for operating a technical device with a control unit and using a multi-dimensional characteristic map stored in a characteristic map memory, the system comprising:

• the control unit;
• and
• the characteristic map memory in which the multi-dimensional characteristic map is stored;
• wherein the control unit provides, for ascertainment of an operating parameter which represents a correction parameter with the aid of a characteristic map, an adaptation parameter or a function value of a function mapping a physical behavior and with which the technical device is operated, wherein the characteristic map is defined by data points, to each of which a characteristic field value is assigned, wherein the system is configured to determine, for reading out the characteristic map, an output value, as a function of an input variable point to be evaluated for the technical device, using one-dimensional basis functions, which are assigned to each dimension of each data point of the characteristic map, wherein function values of the one-dimensional basis functions respectively have a monotone curve to a neighboring data point, at which the basis function has a function value 0, and are outside of a region between the data point and a neighboring data point 0, to multiply, for the input variable point, the function values of the one-dimensional basis functions of the data points surrounding the input variable point with respect to every dimension in order to determine the output, and to operate the technical device as a function of the output value.

A non-transitory machine-readable storage medium on which is stored a computer program for operating a technical device using a multi-dimensional characteristic map stored in a characteristic map memory, the computer program, when executed by a processing unit, causing the processing unit to perform the following steps:

• providing, for an ascertainment of an operating parameter which represents a correction parameter using the characteristic map, an adaptation parameter or a function value of a function mapping a physical behavior and with which the technical device is operated, wherein the characteristic map is defined by data points, to each of which a characteristic field value is assigned;
• for reading out the characteristic map, determining an output value as a function of an input variable point to be evaluated for the technical device, using one-dimensional basis functions, which are assigned to each dimension of each data point of the characteristic map, wherein function values of the one-dimensional basis functions respectively have a monotone curve to a neighboring data point, at which the basis function has a function value 0, and are outside of a region between the data point and the neighboring data point 0, wherein, for the input variable point to be evaluated, the function values of the one-dimensional basis functions of the data points surrounding the input variable point with respect to every dimension are multiplied in order to determine the output value;
• and
• operating the technical device as a function of the output value.