A Periodic Systems Toolbox for MATLAB

Author:	Varga Andras, German Aerospace Center, DLR - Oberpfaffenhofen, Germany
Topic:	2.1 Control Design
Session:	Numerical Issues in Systems and Control
Keywords:	periodic systems, multi-rate systems, linear systems, numerical methods, computer-aided control systems design.

Abstract

The recently developed Periodic Systems Toolbox for MATLAB is described. The basic approach to develop this toolbox was to exploit the powerful object manipulation features of MATLAB via flexible andfunctionally rich high level m-functions, while simultaneously enforcing highly efficient and numerically sound computations via the mex-function technology of MATLAB to solve critical numerical problems.The m-functions based user interfaces ensure user-friendliness in operating with the functions of this toolbox via an object oriented approach to handle periodic system descriptions. The mex-functions are based on Fortran implementations of recently developed structure exploiting and structure preserving numerical algorithms for periodic systems which completely avoid forming of lifted representations.