STABILIZING FIRST-ORDER CONTROLLERS WITH DESIRED STABILITY REGION

¨¨ K. Saadaoui∗ and A.B. Ozguler∗∗

Keywords

Hermite–Biehler theorem, stabilization, first-order controllers, re- gional pole placement

Abstract

In this paper, we determine the set of all stabilizing first-order controllers that place the poles of the closed-loop system in a desired stability region. The solution is based on a generalization of the Hermite–Biehler theorem applicable to polynomials with complex coefficients and the application of a modified stabilizing gain algorithm to three subsidiary plants. The method given is also applicable to PID controllers.

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