PI Stabilization of a Class of Time Delay Systems

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In this paper we use the Hermite-Biehler theorem to establish results for the design of proportional plus integral (PI) controllers for a class of time delay systems. We extend results of the polynomial case to quasipolynomials using the property of interlacing in high frequencies of the class of time delay systems considered. A signature for the quasipolynomials in this class is derived and used in the proposed approach which yields the complete set of the stabilizing PI controllers.



Control equipment, Polynomials, Theorem proving, Quasipolynomials, Delay circuits

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Proceedings of the American Control Conference, v. 2, p. 1500-1505.