Pole placement in a union of regions with prespecified subregion allocation

This paper proposes a method to compute a static state feedback control law which achieves a non-strict pole assignment. The specification on the closed-loop poles is given in terms of a clustering region. The originality of this work is the choice of the region which can result from the union of disjoint and non-symmetric subregions. Such a choice is made possible by a technique that enables a partial pole placement via aggregation. The distribution of poles in various subregions can be chosen. The proposed conditions are formulated through an LMI approach and some robustness aspects are also considered from an analytical point of view.