Læringsmål

To give students insight and knowledge necessary for practical system identification of static and dynamic models from recorded input-output data, and the use of such models for estimation and prediction of state variables and measurements. Further to give basic knowledge of optimal estimation of variables in discrete and continuous time dynamic systems, based on dynamic models and theory for stochastic systems.

Innhold

Description of stochastic processes. Discrete time process and measurement noise. Observability and detectability. Kalman filter for state and parameter estimation in linear and nonlinear systems. Kalman filter on prediction and innovation form. Deterministic and stochastic models, combined deterministic-stochastic models. Dynamic and static models. Modeling for control, prediction, simulation, operator support, diagnosis, failure detection, etc. Prefiltering of data, identification of trends etc. Experiment design for dynamic systems and persistent excitation. Least-squares system identification with statistical analysis. Singular value decomposition (SVD), principal component analysis and regression (PCA, PCR). Partial least squares (PLS). Identification of stochastic and dynamic systems from known input-output data. Details in subspace system identification methods such as DSR, and details in prediction error methods. Recursive system identification methods. Utilization of a priori knowledge. Handling of known nonlinearities and use of linearizing functions. Introduction to statistical process control (SPC) and data reconciliation.

Organisering

Lectures, exercises with the use of PC software, laboratory task.

Vurderingsformer

An intermediate test counts 30% and a final test counts 70% in the final grade.

It is necessary to pass the final test in order to get a passing grade.

Det tas forbehold om mindre justeringer i planen.