Analysis and control design of MIMO systems based on symmetry properties

In this work the design advantages derived from certain symmetry properties inherent to different class of systems are explored. In particular, some class of MIMO systems which can be separated into different and independent SISO problems, thus making easier the analysis and control design, are addressed. Also, it is shown how the symmetry properties give a direct way for open-loop identification, valid also in unstable cases, using closed-loop data. As a real-world application example, the proposed method is applied to a magnetic bearing system having the required symmetry properties.