A CAD Method of Multivariable Control Systems Using Generalized Gershgorin Bands

Abstract

The design method proposed here is a frequency-domain method and uses a certain class of generalized Gershgorin bands mapped onto the gain-phase plane, which are referred to as the generalized Gershgorin pseudo-bands. The main advantages are that the generalized Gershgorin pseudo-bands have the same width for all loops, that the width of the pseudo-bands is invariant under the changes of the diagonal compensator and under the changes of the unit system at outputs and inputs, that no diagonal dominance is required at high frequencies, and that a quantitative guide line for pseudo-diagonalization is given based on the interaction index which is a satisfactory scalor measure of the cross interaction.