Regional pole placement via low-order controllers with extensions to simultaneous stabilization

This paper investigates the design of low-order controllers to achieve regional pole-placement. A key step is to use coprime factors so that a sufficient condition for the existence of such a low-order controller can be characterized in terms of linear matrix inequalities. The condition is also extended to address the low-order controller design for simultaneous stabilization by placing the poles of the closed-loop systems in specified regions of the open left-half-plane. A design example illustrates the results