Method and device for creating computational models for nonlinear models of position encoders

Abstract

A method is described for ascertaining a computational model for a position encoder system (1), in particular for a position encoder for controlling a gas mass flow rate for an internal combustion engine, having the following steps: providing a differential equation system with at least one nonlinear term; dividing (S1) the differential equation system to obtain a linear part which is describable by a linear differential equation and a nonlinear part which is describable by a nonlinear differential equation; discretizing (S2) the linear part of the differential equation system with the aid of a first discretization method to obtain a computational model for the discretized linear part; discretizing (S3) the nonlinear part of the differential equation system with the aid of a second discretization method to obtain a computational model for the discretized nonlinear part; combining (S5) the computational models of the discretized linear part and the discretized nonlinear part of the differential equation system to obtain the computational model for the position encoder system (1).

Description

technical field [0001] The invention relates to a method for creating a computational model of a physical system, in particular a regulator for controlling a gas mass flow in an engine system. Background technique [0002] For the design of regulators and regulators for regulating mechatronic actuator systems, such as throttle valves in internal combustion engines, and for their computer simulations, differential equation systems are usually created which map their physical properties. Although using simplified functions to map friction etc., the system of difference equations is non-linear. [0003] Furthermore, discontinuities, for example in non-linear spring characteristic curves of return springs etc. (i.e. return springs with regionally different characteristics), present a particular challenge only with greater difficulty in the underlying differential equations in the map. [0004] Furthermore, these equations must be discretized in time for calculation in order to...

AI Technical Summary

Problems solved by technology

Discretization often results in mathematically unsolvable systems of equations, which must therefore be solved iteratively, usually with high time overhead

This is generally unacceptable for real-time applications, since for example control devices for internal combustion engines have only limited computing power

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