REGIONAL ASSIGNMENT OF INVARIANT POLYNOMIAL ROOTS WITH STABLE CONTROLLERS

摘要

A generalization of the classical strong stabilization problem is considered. The problem investigated consists in finding a compensator assigning closed-loop invariant polynomials whose roots are required to lie within assigned regions of the complex plane. The stability domain for each invariant polynomial is specified as the root space of a suitably defined polytope of polynomials. The controller is required to be stable with respect to the largest of the assigned domains of stability.