Apparatus and method for automatically generating a deterministric target differential equation system

摘要

An apparatus and method are provided for automatically generating a deterministic target differential equation system for evaluating an output differential equation system with stochastic input parameters with a device for providing a weighted sum of orthogonal basic functions inserted into the output differential equation system, which forms a stochastic random variable. A multiplication device for multiplying the output differential equation system by the orthogonal basic functions and an integration device for integrating the output differential equation system which is multiplied by the orthogonal basic functions to generate the deterministic target differential equation system are provided. A control device calculates stochastic output parameters based on the deterministic target differential equation system generated and accordingly controls a mechanical or electronic adjustment element. The apparatus may be suitable for use in a robust regulating and control circuit for regulating an installation, e.g., a chemical reaction installation, e.g., to minimize harmful exhaust gas substances.

主权项

1. A method for automatically decreasing production of nitrogen monoxide NO from a furnace of an installation, the method comprising:
a) determining a probability distribution of a temperature stochastic input parameter based on measurements of a temperature measuring device; b) selecting a set of basic functions from a basic function memory depending on the determined probability distribution; c) deriving a mask vector having expected values and standard deviations of the determined probability distribution; d) a calculation unit automatically calculating a weighted sum of the basic functions, wherein the weighted sum is weighted using the mask vector; e) the calculation unit automatically inserting the weighted sum of the basic functions into the output differential equation system to generate a deterministic target differential equation system; f) an integration device integrating the deterministic target differential equation system to calculate a nitrogen monoxide concentration stochastic output parameter of the installation; and g) a control device deterministically optimizing the calculated nitrogen monoxide concentration stochastic output parameter by automatically adjusting the temperature stochastic input parameter to an input parameter values associated with the optimal output parameter, whereby the concentration of the nitrogen monoxide is decreased in a chemical reaction.