Beschreibung:
Models of dynamical systems are of great importance in almost all fields of science and engineering and specifically in control, signal processing and information science. A model is always only an approximation of a real phenomenon so that having an approximation theory which allows for the analysis of model quality is a substantial concern. The use of rational orthogonal basis functions to represent dynamical systems and stochastic signals can provide such a theory and underpin advanced analysis and efficient modelling. It also has the potential to extend beyond these areas to deal with many problems in circuit theory, telecommunications, systems, control theory and signal processing.
Will teach the reader how to use an important technique in modelling and system identification with a wide range of engineering applications
Construction and Analysis.- Transformation Analysis.- System Identification with Generalized Orthonormal Basis Functions.- Variance Error, Reproducing Kernels, and Orthonormal Bases.- Numerical Conditioning.- Model Uncertainty Bounding.- Frequency-domain Identification in ?2.- Frequency-domain Identification in ??.- Design Issues.- Pole Selection in GOBF Models.- Transformation Theory.- Realization Theory.