Some applications of the polytope problem

Abstract

In this paper, a solution for the existence of a fixed order stabilizing controller for any SISO plant (continuous domain or discrete domain) is proposed. Also, the question of the existence of a constant output feedback to stabilize a SIMO or a MISO plant is addressed. These applications are based on the algorithm for determining the existence of a stable polynomial in a polytope, which has recently been proposed by the author. Three numerical examples are included to illustrate various applications.