Matlab–Based Toolbox for Analysing Differential Linear Repetitive Processes

A short overview of a Matlab–based toolbox developed to support the control-related analysis of a subclass of nD systems called differential linear repetitive processes (LRP) is the subject of this paper. Its main functionality covers two different areas. First the toolbox allows one to build discrete approximations of continuous–time LRPs and then perform analysis/simulation verification studies. All tasks use a graphical environment, with typical Windows components. In the second area continuous–time linear repetitive processes can be numerically solved using numerical methods for solving ordinary differential equations. This required the development of some Matlab–based functions (so called M–files) which extensively use the Matlab ODE Suite mechanizm. The two mentioned areas are fully integrated together. In this paper we also document some details of the data format specifications used in the toolbox and on the adoption of original Matlab ODE solvers for solving LRP’s. Moreover we show many (not presented so far in print) implementation details concerning ODE solvers used in the context of repetitive processes. Keywords— Linear repetitive processes, Matlab toolbox, Matlab ODE Suite, Ordinary differential equations