Mapping MIMO control system specifications into parameter space

This paper considers the mapping of design objectives for parametric multi-input multi-output systems into parameter space. To this end mapping equations for standard norm specifications are derived. Design objectives under consideration include H_∞ performance, H₂ performance and dissipativity. The mapping equations are derived from a novel uniform framework. These presented mapping equations are similar to the well-known mapping equations for pole location specifications. The theory which extends the parameter space approach to MIMO systems is illustrated by an example.