Analysis and control of multi-dimensional \((nD)\) spatio-temporal systems with non-causal spatial variables (Q2902220)

The text of this book is based on the author's PhD thesis. This refers to the extension of well-known linear repetitive process theory to the case where the traditional causality is not present. Repetitive processes are the particular case of the so-called multidimensional systems which are described by multivariate functions and equations, which is related to the existence of many independent information propagation directions. In the physical meaning only one of them is `time' ad hence the traditional upper-right quadrant causality is too strong requirement. In the repetitive processes area it has led to so-called `wave' repetitive processes and to the processes `with the smoothing effect. In the book, stability analysis and stabilizing controller design methods of these system cases have been developed. Also the uncertainty/robustness issues have been discussed. An extension to the repetitive processes defined over the plate have been developed too. The `wave' repetitive processes also have turned out to be very useful to create discrete models for the systems described by partial differential equations. In the book, the plate vibration and as well the heat transfer problems have been discussed where Iterative Learning Control (ILC) methods has been adopted In this last case.