Modal Controllers Design of Interval Systems With Aperiodic Degree of Stability Based on the Method of Dominant Poles

The article deals with the problem of determining the parameterizations of a linear controller that provides aperiodic transient processes in a system with interval parameters. To cope with the above mentioned issue, a decomposition approach is proposed. It is based on dividing the characteristic polynomial of the system into a dominant one, which determines the dominant real pole, and a free one, which specifies the location of the remaining poles. In order to arrange the free poles at the maximum distance from the dominant one, the conditions for the maximum degree of dominance are specified. In this paper, a technique is described that has been developed for the modal design of linear controllers. Its application is considered through a numerical example.