摘要 |
An arrangement (10) for determining a linear parametric dynamic system model of the open- loop dynamic behaviour of an industrial plant or an industrial process (11), comprises a data reading unit (5a, 5b) to read in measured input data (u) and measured output data (y) of the industrial plant or the industrial process (11), an evaluator unit (2, 3a, 3b) to simulate a dynamic behaviour of the system model as a response to the measured input data (u), thereby generating simulated output data (ysim), and to compare the measured output data (y) to the simulated output data (ysim) in order to determine a quality of the system model, an estimator unit (6a, 6b) to determine a model order (n) of the system model as well as corresponding system model parameters (K, T1 to Tn) by minimizing a difference between the measured output data (y) and the simulated output data (ysim) using a method of least squares until the quality of the system model is determined to be sufficiently high, and a parameter interface (4) to provide the model order (n) and the system model parameters (K, T1 to Tn) to a control design unit (12). In order to reduce the computational time and optimally shape the system model parameters, especially for higher order systems, the estimator unit (6a, 6b) is arranged to at first determine intermediate parameters (K, Tu, Tg) uniquely describing the open-loop dynamic behaviour, where the number (m) of the intermediate parameters is predetermined and is defined to be not larger than the number of system model parameters (s), and to afterwards calculate the system model parameters (K, T1 to Tn) from the intermediate parameters (K, Tu, Tg) using a predetermined unique allocation between the intermediate parameters and the system model parameters. |