An Intelligent System For Automated MathematicalModelling And Simulation Of DynamicalEngineering Systems

Abstract

We describe in this paper a computer program for Automated Mathematical Modelling (AMM) and Automated Simulation (AS) of dynamical engineering systems using Artificial Intelligence (AI) techniques. This computer program is an implementation of a new method for AMM using Fuzzy Logic techniques and Fractal Theory, and a new method for AS using Expert Systems technology. Our new method for AMM consists of three main parts: Time Series Analysis, Developing a set of Admissible Models and Selecting the Best model. Our method for Time Series Analysis consists in the use of the fractal dimension of a set of points as a measure of the geometrical complexity of the time series. Our method for developing a set of admissible models is based on the use of Fuzzy Logic techniques to simulate the reasoning process of the human experts in mathematical modelling of engineering systems. The selection of the best model for the engineering systems is done using heuristics from the experts and statistical calculations. The simulation of the best model can be done by using a new method developed by the authors, that enables automated computer exploration of all the dynamical behaviors of the engineering system. Given a mathematical model for a specific Dynamical Engineering System (DES), this method will automatically select (using a rule base) the best set of parameter values to perform numerical simulations of the system. This simulations will in turn enable the identification of all the dynamical behaviors of the engineering system.